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Bibliography of the Universität Regensburg
- University of Regensburg (176)
- Mathematics (176)
- Prof. Dr. Harald Garcke (176)
- Mathematics (176)
Number of items at this level: 176.
2024
Abels, Helmut 
, Garcke, Harald and Haselböck, Jonas
(2024)
Existence of weak solutions to a Cahn–Hilliard–Biot system.
Nonlinear Analysis: Real World Applications 81, p. 104194.
Eto, Tokuhiro, Garcke, Harald and Nürnberg, Robert
(2024)
A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions.
Numerische Mathematik.
Garcke, Harald , Hüttl, Paul , Kahle, Christian and Knopf, Patrik
(2024)
Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures.
Applied Mathematics & Optimization 89 (1).
2023
Nöldner, Philipp, Burger, Martin and Garcke, Harald
(2023)
Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics.
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
Hüttl, Paul
(2023)
Phase-Field Methods for Spectral Shape and Topology Optimization.
PhD, Universität Regensburg.
Abels, Helmut , Garcke, Harald and Giorgini, Andrea
(2023)
Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities.
Mathematische Annalen 389, pp. 1267-1321.
Garcke, Harald , Knopf, Patrik , Nürnberg, Robert and Zhao, Quan
(2023)
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies.
Journal of Nonlinear Science 33 (2), Art. no. 34.
Abels, Helmut , Bürger, Felicitas and Garcke, Harald
(2023)
Short time existence for coupling of scaled mean curvature flow and diffusion.
Journal of Evolution Equations 23 (14).
2022
Bao, Weizhu, Garcke, Harald , Nürnberg, Robert and Zhao, Quan
(2022)
A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters.
Numerical Methods for Partial Differential Equations 39 (1), pp. 759-794.
Garcke, Harald , Knopf, Patrik , Mitra, Sourav and Schlömerkemper, Anja
(2022)
Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids.
Calculus of Variations and Partial Differential Equations 61 (5).
Elliott, Charles M., Garcke, Harald and Kovács, Balázs
(2022)
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.
Numerische Mathematik 151 (2), pp. 873-925.
Garcke, Harald and Rauchecker, Maximilian
(2022)
Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact.
MATHEMATISCHE NACHRICHTEN 295 (4), pp. 683-705.
Fulltext restricted.
Werner, Philipp, Burger, Martin , Frank, Florian and Garcke, Harald
(2022)
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics.
SIAM Journal on Applied Mathematics 82 (3), pp. 1091-1112.
Fulltext not available.
, Frank, Florian and Garcke, Harald
(2022)
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics.
SIAM Journal on Applied Mathematics 82 (3), pp. 1091-1112.
Fulltext not available.
Garcke, Harald, Mitra, Sourav and Nikolić, Vanja
(2022)
A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media.
SIAM Journal on Control and Optimization 60 (4), pp. 2297-2319.
Fulltext not available.
Garcke, Harald , Knopf, Patrik and Yayla, Sema
(2022)
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions.
Nonlinear Analysis 215, p. 112619.
Fulltext not available.
, Knopf, Patrik and Yayla, Sema
(2022)
Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions.
Nonlinear Analysis 215, p. 112619.
Fulltext not available.
Garcke, Harald and Trautwein, Dennis
(2022)
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport.
Journal of Numerical Mathematics 30 (4), pp. 295-324.
Fulltext not available.
Beschle, Cedric Aaron and Kovács, Balázs
(2022)
Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces.
Numerische Mathematik 151 (1), pp. 1-48.
Fulltext not available.
Nick, Jörg, Kovács, Balázs and Lubich, Christian
(2022)
Time-dependent electromagnetic scattering from thin layers.
Numerische Mathematik 150 (4), pp. 1123-1164.
Fulltext not available.
Garcke, Harald, Kovács, Balázs and Trautwein, Dennis
(2022)
Viscoelastic Cahn–Hilliard models for tumor growth.
Mathematical Models and Methods in Applied Sciences 32 (13), pp. 2673-2758.
Fulltext not available.
2021
Garcke, Harald, Hüttl, Paul and Knopf, Patrik
(2021)
Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach.
Advances in Nonlinear Analysis 11 (1), pp. 159-197.
Menzel, Julia
(2021)
Boundary Value Problems for Evolutions of Willmore Type.
PhD, Universität Regensburg.
Ebenbeck, Matthias, Garcke, Harald and Nürnberg, Robert
(2021)
Cahn–Hilliard–Brinkman systems for tumour growth.
Discrete and Continuous Dynamical Systems - Series S 14 (11), p. 3989.
Fulltext not available.
Garcke, H. and Gößwein, M.
(2021)
Non-linear stability of double bubbles under surface diffusion.
Journal of Differential Equations 302, pp. 617-661.
Fulltext not available.
Garcke, Harald and Nürnberg, Robert
(2021)
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds.
Numerische Mathematik 149 (2), pp. 375-415.
Fulltext not available.
Garcke, Harald, Lam, Kei Fong and Signori, Andrea
(2021)
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects.
Nonlinear Analysis: Real World Applications 57, p. 103192.
Fulltext not available.
and Signori, Andrea
(2021)
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects.
Nonlinear Analysis: Real World Applications 57, p. 103192.
Fulltext not available.
Garcke, Harald, Lam, Kei Fong and Signori, Andrea
(2021)
Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects.
SIAM Journal on Control and Optimization 59 (2), pp. 1555-1580.
Fulltext not available.
and Signori, Andrea
(2021)
Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects.
SIAM Journal on Control and Optimization 59 (2), pp. 1555-1580.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2021)
Stable approximations for axisymmetric Willmore flow for closed and open surfaces.
ESAIM: Mathematical Modelling and Numerical Analysis 55 (3), pp. 833-885.
Fulltext not available.
Abels, Helmut, Arab, Nasrin and Garcke, Harald
(2021)
Standard planar double bubbles are dynamically stable under surface diffusion flow.
Communications in Analysis and Geometry 29 (5), pp. 1007-1060.
Fulltext not available.
2020
Ebenbeck, Matthias
(2020)
Cahn-Hilliard-Brinkman models for tumour growth: Modelling, analysis and optimal control.
PhD, Universität Regensburg.
Garcke, Harald and Matioc, Bogdan-Vasile
(2020)
On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces.
Journal of Evolution Equations.
Knopf, Patrik and Lam, Kei Fong
(2020)
Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions.
Nonlinearity 33 (8), pp. 4191-4235.
Fulltext not available.
and Lam, Kei Fong
(2020)
Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions.
Nonlinearity 33 (8), pp. 4191-4235.
Fulltext not available.
Agosti, A. , Ciarletta, P., Garcke, H. and Hinze, M.
(2020)
Learning patient‐specific parameters for a diffuse interface glioblastoma model from neuroimaging data.
Mathematical Methods in the Applied Sciences 43 (15), pp. 8945-8979.
Fulltext not available.
, Ciarletta, P., Garcke, H. and Hinze, M.
(2020)
Learning patient‐specific parameters for a diffuse interface glioblastoma model from neuroimaging data.
Mathematical Methods in the Applied Sciences 43 (15), pp. 8945-8979.
Fulltext not available.
Garcke, Harald, Menzel, Julia and Pluda, Alessandra
(2020)
Long time existence of solutions to an elastic flow of networks.
Communications in Partial Differential Equations 45 (10), pp. 1253-1305.
Fulltext not available.
(2020)
Long time existence of solutions to an elastic flow of networks.
Communications in Partial Differential Equations 45 (10), pp. 1253-1305.
Fulltext not available.
Garcke, Harald and Yayla, Sema
(2020)
Long-time dynamics for a Cahn–Hilliard tumor growth model with chemotaxis.
Zeitschrift für angewandte Mathematik und Physik 71 (4).
Fulltext not available.
Garcke, Harald and Nürnberg, Robert
(2020)
Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes.
IMA Journal of Numerical Analysis 41 (3), pp. 1899-1940.
Fulltext not available.
Garcke, Harald and Knopf, Patrik
(2020)
Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach.
SIAM Journal on Mathematical Analysis 52 (1), pp. 340-369.
Fulltext not available.
(2020)
Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach.
SIAM Journal on Mathematical Analysis 52 (1), pp. 340-369.
Fulltext not available.
2019
Rauchecker, Maximilian
(2019)
Evolution of interfaces in two-phase problems with ninety degree contact angle.
PhD, Universität Regensburg.
Gößwein, Michael
(2019)
Surface diffusion flow of triple junction clusters in higher space dimensions.
PhD, Universität Regensburg.
Ebenbeck, Matthias and Garcke, Harald
(2019)
Analysis of a Cahn–Hilliard–Brinkman model for tumour growth with chemotaxis.
Journal of Differential Equations 266 (9), pp. 5998-6036.
Fulltext not available.
(2019)
Analysis of a Cahn–Hilliard–Brinkman model for tumour growth with chemotaxis.
Journal of Differential Equations 266 (9), pp. 5998-6036.
Fulltext not available.
Knopf, Patrik
(2019)
Confined steady states of a Vlasov‐Poisson plasma in an infinitely long cylinder.
Mathematical Methods in the Applied Sciences 42 (18), pp. 6369-6384.
Fulltext not available.
(2019)
Confined steady states of a Vlasov‐Poisson plasma in an infinitely long cylinder.
Mathematical Methods in the Applied Sciences 42 (18), pp. 6369-6384.
Fulltext not available.
Abels, Helmut, Garcke, Harald and Weber, Josef
(2019)
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants.
Communications on Pure & Applied Analysis 18 (1), pp. 195-225.
Fulltext not available.
and Weber, Josef
(2019)
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants.
Communications on Pure & Applied Analysis 18 (1), pp. 195-225.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2019)
Finite element methods for fourth order axisymmetric geometric evolution equations.
Journal of Computational Physics 376, pp. 733-766.
Fulltext not available.
and Nürnberg, Robert
(2019)
Finite element methods for fourth order axisymmetric geometric evolution equations.
Journal of Computational Physics 376, pp. 733-766.
Fulltext not available.
Nürnberg, Robert, Garcke, Harald and Barrett, John W
(2019)
Numerical approximation of curve evolutions in Riemannian manifolds.
IMA Journal of Numerical Analysis 40 (3), pp. 1601-1651.
Fulltext not available.
and Barrett, John W
(2019)
Numerical approximation of curve evolutions in Riemannian manifolds.
IMA Journal of Numerical Analysis 40 (3), pp. 1601-1651.
Fulltext not available.
Ebenbeck, Matthias and Garcke, Harald
(2019)
On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits.
SIAM Journal on Mathematical Analysis 51 (3), pp. 1868-1912.
Fulltext not available.
and Garcke, Harald
(2019)
On a Cahn--Hilliard--Brinkman Model for Tumor Growth and Its Singular Limits.
SIAM Journal on Mathematical Analysis 51 (3), pp. 1868-1912.
Fulltext not available.
Garcke, Harald, Hinze, Michael and Kahle, Christian
(2019)
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model.
ESAIM: Control, Optimisation and Calculus of Variations 25, p. 13.
Fulltext not available.
(2019)
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model.
ESAIM: Control, Optimisation and Calculus of Variations 25, p. 13.
Fulltext not available.
Ebenbeck, Matthias and Knopf, Patrik
(2019)
Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation.
Calculus of Variations and Partial Differential Equations 58 (4).
Fulltext not available.
(2019)
Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation.
Calculus of Variations and Partial Differential Equations 58 (4).
Fulltext not available.
Elliott, Charles M., Fritz, Hans and Hobbs, Graham
(2019)
Second order splitting for a class of fourth order equations.
Mathematics of Computation 88 (320), pp. 2605-2634.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2019)
Stable Discretizations of Elastic Flow in Riemannian Manifolds.
SIAM Journal on Numerical Analysis 57 (4), pp. 1987-2018.
Fulltext not available.
(2019)
Stable Discretizations of Elastic Flow in Riemannian Manifolds.
SIAM Journal on Numerical Analysis 57 (4), pp. 1987-2018.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2019)
Variational discretization of axisymmetric curvature flows.
Numerische Mathematik 141 (3), pp. 791-837.
Fulltext not available.
and Nürnberg, Robert
(2019)
Variational discretization of axisymmetric curvature flows.
Numerische Mathematik 141 (3), pp. 791-837.
Fulltext not available.
2018
Dedè, Luca, Garcke, Harald and Lam, Kei Fong
(2018)
A Hele–Shaw–Cahn–Hilliard Model for Incompressible Two-Phase Flows with Different Densities.
Journal of Mathematical Fluid Mechanics 20 (2), pp. 531-567.
Fulltext not available.
and Lam, Kei Fong
(2018)
A Hele–Shaw–Cahn–Hilliard Model for Incompressible Two-Phase Flows with Different Densities.
Journal of Mathematical Fluid Mechanics 20 (2), pp. 531-567.
Fulltext not available.
Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert and Sitka, Emanuel
(2018)
A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis.
Mathematical Models and Methods in Applied Sciences 28 (03), pp. 525-577.
Fulltext not available.
, Lam, Kei Fong , Nürnberg, Robert and Sitka, Emanuel
(2018)
A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis.
Mathematical Models and Methods in Applied Sciences 28 (03), pp. 525-577.
Fulltext not available.
Garcke, Harald , Hinze, Michael , Kahle, Christian and Lam, Kei Fong
(2018)
A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints.
Advances in Computational Mathematics 44 (5), pp. 1345-1383.
Fulltext not available.
, Hinze, Michael , Kahle, Christian and Lam, Kei Fong
(2018)
A phase field approach to shape optimization in Navier–Stokes flow with integral state constraints.
Advances in Computational Mathematics 44 (5), pp. 1345-1383.
Fulltext not available.
Garcke, Harald , Lam, Kei Fong and Styles, Vanessa
(2018)
Cahn--Hilliard Inpainting with the Double Obstacle Potential.
SIAM Journal on Imaging Sciences 11 (3), pp. 2064-2089.
Fulltext not available.
, Lam, Kei Fong and Styles, Vanessa
(2018)
Cahn--Hilliard Inpainting with the Double Obstacle Potential.
SIAM Journal on Imaging Sciences 11 (3), pp. 2064-2089.
Fulltext not available.
Garcke, Harald , Lam, Kei Fong and Rocca, Elisabetta
(2018)
Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth.
Applied Mathematics & Optimization 78 (3), pp. 495-544.
Fulltext not available.
, Lam, Kei Fong and Rocca, Elisabetta
(2018)
Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth.
Applied Mathematics & Optimization 78 (3), pp. 495-544.
Fulltext not available.
2017
Dedè, Luca, Garcke, Harald and Lam, Kei Fong
(2017)
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities.
Preprintreihe der Fakultät Mathematik 1/2017,
Working Paper.
(Submitted)
Garcke, Harald, Lam, Kei Fong, Nürnberg, Robert and Sitka, Emanuel
(2017)
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis.
Preprintreihe der Fakultät Mathematik 4/2017,
Working Paper.
(Submitted)
Garcke, Harald, Hinze, Michael, Kahle, Christian and Lam, Kei Fong
(2017)
A phase field approach to shape optimization in Navier{Stokes flow with integral state constraints. Preprintreihe der Fakultät Mathematik 5/2017, Working Paper. (Submitted)
Reitzle, M., Kieffer-Roth, C., Garcke, H. and Weigand, B.
(2017)
A volume-of-fluid method for three-dimensional hexagonal solidification processes.
Journal of Computational Physics 339, pp. 356-369.
Fulltext not available.
Garcke, Harald and Fong Lam, Kei
(2017)
Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis.
Discrete & Continuous Dynamical Systems - A 37 (8), pp. 4277-4308.
Fulltext not available.
(2017)
Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis.
Discrete & Continuous Dynamical Systems - A 37 (8), pp. 4277-4308.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2017)
Finite element approximation for the dynamics of fluidic two-phase biomembranes.
ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), pp. 2319-2366.
Fulltext not available.
(2017)
Finite element approximation for the dynamics of fluidic two-phase biomembranes.
ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), pp. 2319-2366.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2017)
Finite element approximation of a sharp interface approach for gradient flow dynamics of two-phase biomembranes.
Preprintreihe der Fakultät Mathematik 6/2017,
Working Paper.
(Submitted)
Benninghoff, Heike and Garcke, Harald
(2017)
Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes.
Journal of Scientific Computing 72 (3), pp. 1333-1367.
Fulltext not available.
Nürnberg, Robert, Garcke, Harald and Barrett, John W.
(2017)
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature.
IMA Journal of Numerical Analysis.
Fulltext not available.
(2017)
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature.
IMA Journal of Numerical Analysis.
Fulltext not available.
Garcke, Harald and Lam, Kei Fong
(2017)
Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport.
European Journal of Applied Mathematics 28 (02), pp. 284-316.
2016
Arab, Nasrin
(2016)
Dynamical Stability in Relation to Variational Stability: Double Bubbles in R².
PhD, Universität Regensburg.
Garcke, Harald, Lam, Kei Fong , Sitka, Emanuel and Styles, Vanessa
(2016)
A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport.
Mathematical Models and Methods in Applied Sciences 26 (06), pp. 1095-1148.
Fulltext not available.
, Sitka, Emanuel and Styles, Vanessa
(2016)
A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport.
Mathematical Models and Methods in Applied Sciences 26 (06), pp. 1095-1148.
Fulltext not available.
Garcke, Harald, Kampmann, Johannes, Rätz, Andreas and Röger, Matthias
(2016)
A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes.
Mathematical Models and Methods in Applied Sciences 26 (06), pp. 1149-1189.
Fulltext not available.
Garcke, Harald, Hinze, Michael and Kahle, Christian
(2016)
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow.
Applied Numerical Mathematics 99, pp. 151-171.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2016)
A stable numerical method for the dynamics of fluidic membranes.
Numerische Mathematik 134 (4), pp. 783-822.
Fulltext not available.
(2016)
A stable numerical method for the dynamics of fluidic membranes.
Numerische Mathematik 134 (4), pp. 783-822.
Fulltext not available.
Garcke, Harald and Hecht, Claudia
(2016)
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow.
ESAIM: Control, Optimisation and Calculus of Variations 22 (2), pp. 309-337.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2016)
Finite element approximation for the dynamics of asymmetric fluidic biomembranes.
Mathematics of Computation 86 (305), pp. 1037-1069.
Fulltext not available.
(2016)
Finite element approximation for the dynamics of asymmetric fluidic biomembranes.
Mathematics of Computation 86 (305), pp. 1037-1069.
Fulltext not available.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2016)
Finite element approximation for the dynamics of fluidic two-phase biomembranes.
Preprintreihe der Fakultät Mathematik 9/2016,
Working Paper.
(Submitted)
Benninghoff, Heike and Garcke, Harald
(2016)
Image Segmentation Using Parametric Contours With Free Endpoints.
IEEE Transactions on Image Processing 25 (4), pp. 1639-1648.
Fulltext not available.
Garcke, Harald and Lam, Kei Fong
(2016)
On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms.
Preprintreihe der Fakultät Mathematik 8/2016,
Working Paper.
(Submitted)
Garcke, Harald, Hinze, Michael and Kahle, Christian
(2016)
Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model.
Preprintreihe der Fakultät Mathematik 10/2016,
Working Paper.
(Submitted)
Benninghoff, Heike and Garcke, Harald
(2016)
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes.
Journal of Mathematical Imaging and Vision 55 (1), pp. 105-124.
Fulltext not available.
Garcke, Harald and Hecht, Claudia
(2016)
Shape and Topology Optimization in Stokes Flow with a Phase Field Approach.
Applied Mathematics & Optimization 73 (1), pp. 23-70.
Fulltext not available.
Garcke, Harald, Hecht, Claudia, Hinze, Michael, Kahle, Christian and Lam, Kei Fong
(2016)
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach.
Interfaces and Free Boundaries 18, pp. 137-159.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2016)
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature.
Preprintreihe der Fakultät Mathematik 1/2016,
Working Paper.
(Submitted)
2015
Benninghoff, Heike
(2015)
Parametric methods for image processing using active contours with topology changes.
PhD, Universität Regensburg.
Garcke, Harald, Lam, Kei Fong, Sitka, Emanuel and Styles, Vanessa
(2015)
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport.
Preprintreihe der Fakultät Mathematik 15/2015,
Working Paper.
Garcke, Harald, Kampmann, Johannes, Rätz, Andreas and Röger, Matthias
(2015)
A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes.
Preprintreihe der Fakultät Mathematik 16/2015,
Working Paper.
Blank, Luise and Rupprecht, Christoph
(2015)
An extension of the projected gradient method to a Banach space setting with application in structural topology optimization.
Preprintreihe der Fakultät Mathematik 04/2015,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2015)
Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects.
Preprintreihe der Fakultät Mathematik 14/2015,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2015)
Finite element approximation for the dynamics of asymmetric fluidic biomembranes.
Preprintreihe der Fakultät Mathematik 03/2015,
Working Paper.
Benninghoff, Heike and Garcke, Harald
(2015)
Image Segmentation and Restoration Using Parametric Contours With Free Endpoints.
Preprintreihe der Fakultät Mathematik 07/2015,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2015)
Numerical computations of the dynamics of fluidic membranes and vesicles.
Preprintreihe der Fakultät Mathematik 05/2015,
Working Paper.
Garcke, Harald and Benninghoff, Heike
(2015)
Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes.
Preprintreihe der Fakultät Mathematik 10/2015,
Working Paper.
Garcke, Harald, Hecht, Claudia, Hinze, Michael, Kahle, Christian and Lam, Kei Fong
(2015)
Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach.
Preprintreihe der Fakultät Mathematik 06/2015,
Working Paper.
Garcke, Harald and Lam, Kei Fong
(2015)
Well-posedness of a Cahn--Hilliard system modelling tumour growth with chemotaxis and active transport.
Preprintreihe der Fakultät Mathematik 17/2015,
Working Paper.
2014
Hecht, Claudia
(2014)
Shape and topology optimization in fluids using a phase field approach and an application in structural optimization.
PhD, Universität Regensburg.
Garcke, Harald and Hecht, Claudia
(2014)
A phase field approach for shape and topology optimization in Stokes flow.
Preprintreihe der Fakultät Mathematik 9/2014,
Working Paper.
Garcke, Harald, Hinze, Michael and Kahle, Christian
(2014)
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow.
Preprintreihe der Fakultät Mathematik 3/2014,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2014)
A stable numerical method for the dynamics of fluidic membranes.
Preprintreihe der Fakultät Mathematik 18/2014,
Working Paper.
Garcke, Harald and Hecht, Claudia
(2014)
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow.
Preprintreihe der Fakultät Mathematik 15/2014,
Working Paper.
Garcke, Harald, Hecht, Claudia, Hinze, Michael and Kahle, Christian
(2014)
Numerical approximation of phase field based shape and topology optimization for fluids.
Preprintreihe der Fakultät Mathematik 8/2014,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2014)
Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?
Communications in Computational Physics (CiCP) 15, pp. 506-555.
Blank, Luise, Garcke, Harald, Farshbaf-Shaker, Hassan and Styles, Vanessa
(2014)
Relating phase field and sharp interface approaches to structural topology optimization.
Control, Optimisation and Calculus of Variations (ESAIM-COCV) 20, pp. 1025-1058.
Garcke, Harald and Hecht, Claudia
(2014)
Shape and topology optimization in Stokes flow with a phase field approach.
Preprintreihe der Fakultät Mathematik 10/2014,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2014)
Stable finite element approximations of two-phase flow with soluble surfactant.
Preprintreihe der Fakultät Mathematik 14/2014,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2014)
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid.
Preprintreihe der Fakultät Mathematik 5/2014,
Working Paper.
2013
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2013)
A stable parametric finite element discretization of two-phase Navier–Stokes flow.
Preprintreihe der Fakultät Mathematik 17/2013,
Working Paper.
Garcke, Harald, Lam, Kei Fong and Stinner, Björn
(2013)
Diffuse interface modelling of soluble surfactants in two-pahse flow.
Preprintreihe der Fakultät Mathematik 03/2013,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2013)
Eliminating spurious velocities with a stable approximation of incompressible two-phase flow.
Preprintreihe der Fakultät Mathematik 12/2013,
Working Paper.
Benninghoff, Heike and Garcke, Harald
(2013)
Fast image segmentation and restoration using parametric curve evolution with junctions and topology changes.
Preprintreihe der Fakultät Mathematik 15/2013,
Working Paper.
Blank, Luise, Farshbaf-Shaker, Hassan, Garcke, Harald, Rupprecht, Christoph and Styles, Vanessa
(2013)
Multi-material phase field approach to structural topology optimization.
Preprintreihe der Fakultät Mathematik 22/2013,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2013)
On the stable numerical approximation of two-phase flow with insoluble surfactant.
Preprintreihe der Fakultät Mathematik 20/2013,
Working Paper.
Blank, Luise, Farshbaf-Shaker, Hassan, Hecht, Claudia, Michl, Josef and Rupprecht, Christoph
(2013)
Optimal control of Allen-Cahn systems.
Preprintreihe der Fakultät Mathematik 21/2013,
Working Paper.
Farshbaf-Shaker, Hassan and Hecht, Claudia
(2013)
Optimal control of elastic vector-valued Allen-Cahn variational inequalities.
Preprintreihe der Fakultät Mathematik 16/2013,
Working Paper.
Blank, Luise, Farshbaf-Shaker, Hassan, Garcke, Harald and Styles, Vanessa
(2013)
Relating phase field and sharp interface approaches to structural topology optimization.
Preprintreihe der Fakultät Mathematik 02/2013,
Working Paper.
2012
Butz, Martin
(2012)
Computational methods for Cahn-Hilliard variational inequalities.
PhD, Universität Regensburg.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2012)
Finite element approximation of one-sided Stefan problems with anisotropic,approximately crystalline, Gibbs-Thomson law. Preprintreihe der Fakultät Mathematik 1/2012, Working Paper.
Depner, Daniel, Garcke, Harald and Kohsaka, Yoshihito
(2012)
Mean curvature flow with triple junctions in higher space dimensions.
Preprintreihe der Fakultät Mathematik 13/2012,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2012)
Numerical computations of facetted pattern formation in snow crystal growth.
Preprintreihe der Fakultät Mathematik 7/2012,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2012)
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth.
Preprintreihe der Fakultät Mathematik 16/2012,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2012)
Phase Field Models versus Parametric Front Tracking Methods:Are they accurate and computationally efficient? Preprintreihe der Fakultät Mathematik 24/2012, Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2012)
Stable phase field approximations of anisotropic solidification.
Preprintreihe der Fakultät Mathematik 19/2012,
Working Paper.
2011
Farshbaf-Shaker, Hassan
(2011)
A penalty approach to optimal control of Allen-Cahn variational inequalities: MPEC-view.
Preprintreihe der Fakultät Mathematik 6/2011,
Working Paper.
(Unpublished)
Farshbaf-Shaker, Hassan
(2011)
A relaxation approach to vector-valued Allen-Cahn MPEC problems.
Preprintreihe der Fakultät Mathematik 27/2011,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2011)
Elastic flow with junctions: Variational approximation and applications to nonlinear splines.
Preprintreihe der Fakultät Mathematik 30/2011,
Working Paper.
Garcke, Harald and Schaubeck, Stefan
(2011)
Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law.
Preprintreihe der Fakultät Mathematik 16/2011,
Working Paper.
(Unpublished)
Farshbaf-Shaker, Hassan
(2011)
Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility.
Preprintreihe der Fakultät Mathematik 24/201,
Working Paper.
Depner, Daniel
(2011)
Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact.
Preprintreihe der Fakultät Mathematik 7/2011,
Working Paper.
(Unpublished)
Depner, Daniel and Garcke, Harald
(2011)
Linearized stability analysis of surface diffusion for hypersurfaces with triple lines.
Preprintreihe der Fakultät Mathematik 15/2011,
Working Paper.
(Unpublished)
Blank, Luise, Garcke, Harald, Sarbu, Lavinia and Styles, Vanessa
(2011)
Non-local Allen-Cahn systems: Analysis and a primal dual active set method.
Preprintreihe der Fakultät Mathematik 2/2011,
Working Paper.
(Unpublished)
Farshbaf-Shaker, Hassan
(2011)
On a nonlocal viscous phase separation model.
Preprintreihe der Fakultät Mathematik 23/201,
Working Paper.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2011)
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves.
Preprintreihe der Fakultät Mathematik 1/2011,
Working Paper.
(Unpublished)
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2011)
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute.
Numer. Methods Partial Differential Equations 27 (1), pp. 1-30.
Farshbaf-Shaker, M. Hassan and Garcke, Harald
(2011)
Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biological membranes.
Discrete Contin. Dyn. Syst. Ser. S 4 (2), pp. 371-389.
2010
Depner, Daniel
(2010)
Stability analysis of geometric evolution equations with triple linesand boundary contact. PhD, Universität Regensburg.
Blank, Luise, Butz, Martin, Garcke, Harald, Sarbu, Lavinia and Styles, Vanessa
(2010)
Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques.
Preprintreihe der Fakultät Mathematik 7/2010,
Working Paper.
(Unpublished)
Garcke, Harald and Kraus, Christiane
(2010)
An inhomogeneous, anisotropic, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model.
PAMM Proc. Appl. Math. Mech. 10, pp. 519-520.
Alfaro, Matthieu, Garcke, Harald, Hilhorst, Danielle, Matano, Hiroshi and Schätzle, Rainer
(2010)
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation.
Proc. Roy. Soc. Edinburgh Sect. A 140 (4), pp. 673-706.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2010)
Numerical approximation of gradient flows for closed curves in Rd.
IMA J. Numer. Anal. 30, pp. 4-60.
Muro, Fernando, Tonks, Andrew and Witte, Malte
(2010)
On determinant functors and K-theory.
Preprintreihe der Fakultät Mathematik 12/2010,
Working Paper.
(Unpublished)
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2010)
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth.
J. Comput. Phys. 229, pp. 6270-6299.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2010)
Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies.
Interfaces and Free Boundaries 12 (2) (2010), 187-234 12 (2), pp. 187-234.
Blank, Luise, Garcke, Harald, Sarbu, Lavinia, Srisupattarawanit, Tarin, Styles, Vanessa and Voigt, Axel
(2010)
Phase-field approaches to structural topology optimization.
Preprintreihe der Fakultät Mathematik 6/2010,
Working Paper.
(Unpublished)
Blank, Luise, Sarbu, Lavinia and Stoll, Martin
(2010)
Preconditioning for Allen-Cahn variational inequalities with non-local constraints.
Preprintreihe der Fakultät Mathematik 11/2010,
Working Paper.
(Unpublished)
Blank, Luise, Butz, Martin and Garcke, Harald
(2010)
Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method.
EASIM: Control, Optimisation and Calculus of Variations, E-first.
Garcke, Harald, Ito, Kazuo and Kohsaka, Yoshihito
(2010)
Surface diffusion with triple junctions: A stability criterion for stationary solutions.
Advances in Differential Equations 15 (5-6), pp. 437-472.
2009
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2009)
Finite Element Approximation of Coupled Surface and Grain Boundary Motion with Applications to Thermal Grooving and Sintering.
Preprintreihe der Fakultät Mathematik 11/2009,
Working Paper, Regensburg.
(Submitted)
Blank, Luise, Garcke, Harald, Sarbu, Lavinia and Styles, Vanessa
(2009)
Primal-dual active set methods for Allen-Cahn variational inequalities with non-local constraints.
Preprintreihe der Fakultät Mathematik 06/2009,
Working Paper, Regensburg.
Garcke, Harald, Ito, Kazuo and Kohsaka, Yoshihito
(2009)
Stability analysis of phase boundary motion by surface diffusion with triple junction.
Banach Center Publications 86, pp. 83-101.
2008
Kwak, David Jung Chul
(2008)
The sharp-interface limit of the Cahn-Hilliard system with elasticity.
PhD, Universität Regensburg.
Nestler, Britta, Wendler, Frank, Selzer, Michael, Stinner, Björn and Garcke, Harald
(2008)
A phase-field model for multiphase systems with preserved volume fractions.
Phys. Rev. E 78 78 (1), 011604.
Garcke, Harald, Nestler, Britta, Stinner, Björn and Wendler, Frank
(2008)
Allen-Cahn systems with volume constraints.
Mathematical Models and Methods in Applied Sciences (M3AS) 18 (8), pp. 1347-1381.
Garcke, Harald, Kohsaka, Yoshihito and Sevcovic, Daniel
(2008)
Nonlinear stability of stationary solutions for curvature flow with triple junction.
Preprintreihe der Fakultät Mathematik 07/2008,
Working Paper, Regensburg.
(Submitted)
Garcke, Harald, Ito, Kazuo and Kohsaka, Yoshihito
(2008)
Nonlinear stability of stationary solutions for surface diffusion with boundary conditions.
SIAM J. Math. Anal. 40 (2), pp. 491-515.
Garcke, Harald
(2008)
The ¡-limit of the Ginzburg-Landau energy in an elastic medium.
Advances in mathematical sciences and applications 18 (2), pp. 345-379.
2007
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2007)
On the parametric finite element approximation of evolving hypersurfaces in R³.
SIAM Journal on Scientific Computing 29 (3), pp. 1006-1041.
Haas, Robert
(2007)
Modeling and analysis for general non-isothermal convective phase field systems.
PhD, Universität Regensburg.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2007)
A Parametric Finite Element Method for Forth Order Geometric Evolution Equations.
Journal of Computational Physics 222 (1), pp. 441-467.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2007)
A Phase Field Model for the Electromigration of Intergranular Voids.
nterfaces and Free Boundaries 9, pp. 171-210.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2007)
Parametric approximation of Willmore flow and related geometric evolution equations.
Preprintreihe der Fakultät Mathematik 22/2007,
Working Paper, Regensburg.
(Submitted)
Stinner, Björn
(2007)
Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification.
Preprintreihe der Fakultät Mathematik 06/2007,
Working Paper, Regensburg.
(Submitted)
2006
Kusche, Tobias
(2006)
Spectral analysis for linearizations of the Allen-Cahn equation around rescaled stationary solutions with triple-junction.
PhD, Universität Regensburg.
Stinner, Björn
(2006)
Derivation and analysis of a phase field model for alloy solidification.
PhD, Universität Regensburg.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2006)
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid.
Mathematics of Computation (MCOM) 75 (253), pp. 7-41.
Garcke, Harald, Lenz, Martin, Niethammer, Barbara, Rumpf, Martin and Weikard, Ulrich
(2006)
Multiple scales in phase separating systems with elastic misfit.
In: Mielke, Alexander, (ed.)
Analysis, Modeling and Simulation of Multiscale Problems.
Springer, Berlin, pp. 153-178.
ISBN 3-540-35656-8; 978-3-540-35656-1.
Eck, Christof, Garcke, Harald and Stinner, Björn
(2006)
Multiscale Problems in Solidification Processes.
In: Mielke, Alexander, (ed.)
Analysis, Modeling and Simulation of Multiscale Problems.
Springer, Berlin, pp. 21-64.
ISBN 3-540-35656-8; 978-3-540-35656-1.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2006)
Numerical Approximation of Anisotropic Geometric Evolution Equations.
IMA Journal of Numerical Analysis.
(In Press)
Garcke, Harald and Kwak, David
(2006)
On asymptotic limits of Cahn-Hilliard systems with elastic misfit.
In: Mielke, Alexander, (ed.)
Analysis, Modeling and Simulation of Multiscale Problems.
Springer, Berlin, pp. 87-112.
ISBN 3-540-35656-8; 978-3-540-35656-1.
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2006)
On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities.
?.
(Submitted)
Barrett, John W., Garcke, Harald and Nürnberg, Robert
(2006)
On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations.
SIAM Journal on Scientific Computing.
(In Press)
Garcke, Harald and Stinner, Björn
(2006)
Second order phase field asymptotics for multi-component systems.
Interfaces and Free Boundaries 8, pp. 131-157.
Garcke, Harald and Wieland, Sandra
(2006)
Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System.
SIAM Journal on Mathematical Analysis 37 (6), pp. 2025-2048.
2005
Blank, Luise
(2005)
Analytical Considerations of State Estimation: Regularization and Error Propagation.
Preprintreihe der Fakultät Mathematik 11/2005,
Working Paper, Regensburg.
Garcke, Harald, Ito, Kazuo and Yoshihito, Kohsaka
(2005)
Linearized stability analysis of stationary solutions for surface diffusion with boundary conditions.
SIAM Journal on Mathematical Analysis 36 (4), pp. 1031-1056.
Garcke, Harald
(2005)
Mechanical Effects in the Cahn-Hilliard Model: A Review on Mathematical Results.
In: Miranville, Alain, (ed.)
Mathematical methods and models in phase transitions.
Nova Science Publishers, New York, pp. 43-77.
ISBN 1-594-54317-8.
Nestler, Britta, Garcke, Harald and Stinner, Björn
(2005)
Multicomponent Alloy Solidification: Phase-Field Modelling and Simulations.
Physical Review E 71 (4), 041609.
Garcke, Harald and Weikard, Ulrich
(2005)
Numerical Approximation of the Cahn-Larché Equation.
Numerische Mathematik 100 (4), pp. 639-662.
Garcke, Harald
(2005)
On a Cahn-Hilliard model for phase separation with elastic misfit.
Annales de l'Institut Henri Poincaré: Analyse non-linéaire = Nonlinear analysis 22 (2), pp. 165-185.
Blank, Luise
(2005)
State Estimation analysed as Inverse Problem.
Preprintreihe der Fakultät Mathematik 17/2005,
Working Paper, Regensburg.
Stinner, Björn
(2005)
Surface energies in multi phase systems with diffuse phase boundaries.
Preprintreihe der Fakultät Mathematik 13/2005,
Working Paper, Regensburg.
Finster, Felix
(2005)
The Principle of the Fermionic Projector: A New Variational Principle in Space-Time.
Preprintreihe der Fakultät Mathematik 16/2005,
Working Paper, Regensburg.
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