Publikationen von Garcke, Harald
(ORCID: 0000-0001-5235-2073)

Abels, Helmut , Garcke, Harald und Wittmann, Julia (2025) Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions. Journal of Mathematical Fluid Mechanics 28 (7).

Abels, Helmut , Garcke, Harald und Haselböck, Jonas (2024) Existence of weak solutions to a Cahn–Hilliard–Biot system. Nonlinear Analysis: Real World Applications 81, S. 104194.

Eto, Tokuhiro, Garcke, Harald und Nürnberg, Robert (2024) A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions. Numerische Mathematik 156, S. 1479-1509.

Garcke, Harald , Hüttl, Paul , Kahle, Christian und Knopf, Patrik (2024) Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures. Applied Mathematics & Optimization 89 (24).

Nöldner, Philipp, Burger, Martin und 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.

Garcke, Harald , Nürnberg, Robert und Zhao, Quan (2023) Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. Journal of Scientific Computing 97, Artikel Nr 14. Volltext nicht vorhanden.

Garcke, Harald , Knopf, Patrik , Nürnberg, Robert und 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 und Garcke, Harald (2023) Short time existence for coupling of scaled mean curvature flow and diffusion. Journal of Evolution Equations 23 (14).

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert und Signori, Andrea (2023) Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies. Applied Mathematics & Optimization 87 (3). Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert und Signori, Andrea (2023) Phase field topology optimisation for 4D printing. ESAIM: Control, Optimisation and Calculus of Variations 29, S. 24. Volltext nicht vorhanden.

Garcke, Harald , Hüttl, Paul, Kahle, Christian , Knopf, Patrik und Laux, Tim (2023) Phase-field methods for spectral shape and topology optimization. ESAIM: Control, Optimisation and Calculus of Variations 29, S. 10. Volltext nicht vorhanden.

Abels, Helmut, Bürger, Felicitas und Garcke, Harald (2023) Qualitative properties for a system coupling scaled mean curvature flow and diffusion. Journal of Differential Equations 349, S. 236-268. Volltext nicht vorhanden.

Garcke, Harald , Nürnberg, Robert und Zhao, Quan (2023) Structure-preserving discretizations of two-phase Navier–Stokes flow using fitted and unfitted approaches. Journal of Computational Physics 489, S. 112276. Volltext nicht vorhanden.

Bao, Weizhu, Garcke, Harald , Nürnberg, Robert und 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), S. 759-794.

Garcke, Harald , Knopf, Patrik , Mitra, Sourav und 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).

Garcke, Harald , Knopf, Patrik und Yayla, Sema (2022) Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions. Nonlinear Analysis 215, S. 112619. Volltext nicht vorhanden.

Dedè, Luca, Garcke, Harald und 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), S. 531-567. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert und Sitka, Emanuel (2018) A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis. Mathematical Models and Methods in Applied Sciences 28 (03), S. 525-577. Volltext nicht vorhanden.

Garcke, Harald , Hinze, Michael , Kahle, Christian und 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), S. 1345-1383. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong und Styles, Vanessa (2018) Cahn--Hilliard Inpainting with the Double Obstacle Potential. SIAM Journal on Imaging Sciences 11 (3), S. 2064-2089. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong und Rocca, Elisabetta (2018) Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth. Applied Mathematics & Optimization 78 (3), S. 495-544. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) A Stable Parametric Finite Element Discretization of Two-Phase Navier–Stokes Flow. Journal of Scientific Computing 63 (1), S. 78-117. Volltext nicht vorhanden.

Garcke, Harald , Hecht, Claudia, Hinze, Michael und Kahle, Christian (2015) Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids. SIAM Journal on Scientific Computing 37 (4), A1846-A1871. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Numerical computations of the dynamics of fluidic membranes and vesicles. Physical Review E 92 (5). Volltext nicht vorhanden.

Abels, Helmut, Arab, Nasrin und Garcke, Harald (2015) On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Journal of Evolution Equations 15 (4), S. 913-959. Volltext nicht vorhanden.

Abels, Helmut, Garcke, Harald und Müller, Lars (2015) Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Nonlinear Analysis: Theory, Methods & Applications 117, S. 8-37. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Stable finite element approximations of two-phase flow with soluble surfactant. Journal of Computational Physics 297, S. 530-564. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2015) Stable numerical approximation of two-phase flow with a Boussinesq–Scriven surface fluid. Communications in Mathematical Sciences 13 (7), S. 1829-1874. Volltext nicht vorhanden.

Ben Said, Marouen, Selzer, Michael, Nestler, Britta, Braun, Daniel, Greiner, Christian und Garcke, Harald (2014) A Phase-Field Approach for Wetting Phenomena of Multiphase Droplets on Solid Surfaces. Langmuir 30 (14), S. 4033-4039. Volltext nicht vorhanden.

Garcke, Harald , Lam, Kei Fong und Stinner, Björn (2014) Diffuse interface modelling of soluble surfactants in two-phase flow. Communications in Mathematical Sciences 12 (8), S. 1475-1522. Volltext nicht vorhanden.

Benninghoff, Heike und Garcke, Harald (2014) Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes. SIAM Journal on Imaging Sciences 7 (3), S. 1451-1483. Volltext nicht vorhanden.

Depner, Daniel, Garcke, Harald und Kohsaka, Yoshihito (2014) Mean Curvature Flow with Triple Junctions in Higher Space Dimensions. Archive for Rational Mechanics and Analysis 211 (1), S. 301-334. Volltext nicht vorhanden.

John W.Barrett, , Harald Garcke, und Nurnberg, Robert (2014) On the stable numerical approximation of two-phase flow with insoluble surfactant. ESAIM: Mathematical Modelling and Numerical Analysis. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2014) Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient? Communications in Computational Physics (CiCP) 15, S. 506-555.

Blank, Luise, Garcke, Harald , Farshbaf-Shaker, Hassan und Styles, Vanessa (2014) Relating phase field and sharp interface approaches to structural topology optimization. Control, Optimisation and Calculus of Variations (ESAIM-COCV) 20, S. 1025-1058.

Barrett, J. W., Garcke, H. und Nurnberg, R. (2014) Stable phase field approximations of anisotropic solidification. IMA Journal of Numerical Analysis 34 (4), S. 1289-1327. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2013) Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Computer Methods in Applied Mechanics and Engineering 267, S. 511-530. Volltext nicht vorhanden.

Abels, Helmut, Depner, Daniel und Garcke, Harald (2013) Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities. Journal of Mathematical Fluid Mechanics 15 (3), S. 453-480. Volltext nicht vorhanden.

Blank, L., Garcke, H. , Sarbu, L. und Styles, V. (2013) Nonlocal Allen-Cahn systems: analysis and a primal-dual active set method. IMA Journal of Numerical Analysis 33 (4), S. 1126-1155. Volltext nicht vorhanden.

Abels, Helmut, Depner, Daniel und Garcke, Harald (2013) On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (6), S. 1175-1190. Volltext nicht vorhanden.

Barrett, J.W., Garcke, H. und Nürnberg, R. (2013) On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 93 (10-11), S. 719-732. Volltext nicht vorhanden.

Blank, Luise, Garcke, Harald , Sarbu, Lavinia und Styles, Vanessa (2013) Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints. Numerical Methods for Partial Differential Equations 29 (3), S. 999-1030. Volltext nicht vorhanden.

BARRETT, JOHN W., GARCKE, HARALD und NÜRNBERG, ROBERT (2012) ELASTIC FLOW WITH JUNCTIONS: VARIATIONAL APPROXIMATION AND APPLICATIONS TO NONLINEAR SPLINES. Mathematical Models and Methods in Applied Sciences 22 (11). Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2012) Numerical computations of faceted pattern formation in snow crystal growth. Physical Review E 86 (1). Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2012) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik 120 (3), S. 489-542. Volltext nicht vorhanden.

ABELS, HELMUT, GARCKE, HARALD und GRÜN, GÜNTHER (2012) THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES. Mathematical Models and Methods in Applied Sciences 22 (03). Volltext nicht vorhanden.

BARRETT, JOHN W., GARCKE, HARALD und NÜRNBERG, ROBERT (2010) Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. European Journal of Applied Mathematics 21 (6), S. 519-556. Volltext nicht vorhanden.

Alfaro, Matthieu, Garcke, Harald , Hilhorst, Danielle, Matano, Hiroshi und Schätzle, Reiner (2010) Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140 (4), S. 673-706. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2010) Numerical approximation of gradient flows for closed curves in Rd. IMA J. Numer. Anal. 30, S. 4-60.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2010) On stable parametric finite element methods for the Stefan problem and the Mullins–Sekerka problem with applications to dendritic growth. Journal of Computational Physics 229 (18), S. 6270-6299. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2010) Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications 12 (2), S. 187-234. Volltext nicht vorhanden.

Blank, Luise, Butz, Martin und 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 , KOHSAKA, Yoshihito und ŠEVČOVIČ, Daniel (2009) Nonlinear stability of stationary solutions for curvature flow with triple junction. Hokkaido Mathematical Journal 38 (4). Volltext nicht vorhanden.

Nestler, Britta, Wendler, Frank, Selzer, Michael, Stinner, Björn und Garcke, Harald (2008) A phase-field model for multiphase systems with preserved volume fractions. Phys. Rev. E 78 78 (1), 011604.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2008) A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik 109 (1), S. 1-44. Volltext nicht vorhanden.

Garcke, Harald , Nestler, Britta, Stinner, Björn und Wendler, Frank (2008) Allen-Cahn systems with volume constraints. Mathematical Models and Methods in Applied Sciences (M3AS) 18 (8), S. 1347-1381.

Garcke, Harald , Ito, Kazuo und Kohsaka, Yoshihito (2008) Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM Journal on Mathematical Analysis 40 (2), S. 491-515. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2008) On the parametric finite element approximation of evolving hypersurfaces in R3. Journal of Computational Physics 227 (9), S. 4281-4307. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2008) Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM Journal on Scientific Computing 31 (1), S. 225-253. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2007) On the parametric finite element approximation of evolving hypersurfaces in R³. SIAM Journal on Scientific Computing 29 (3), S. 1006-1041.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2007) A parametric finite element method for fourth order geometric evolution equations. Journal of Computational Physics 222 (1), S. 441-467. Volltext nicht vorhanden.

Barrett, John W., Garcke, Harald und Nürnberg, Robert (2007) A phase field model for the electromigration of intergranular voids. Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications 9 (2), S. 171-210. Volltext nicht vorhanden.

Barrett, J. W., Garcke, H. und Nurnberg, R. (2007) Numerical approximation of anisotropic geometric evolution equations in the plane. IMA Journal of Numerical Analysis 28 (2), S. 292-330. Volltext nicht vorhanden.

GARCKE, HARALD , NÜRNBERG, ROBERT und STYLES, VANESSA (2007) Stress- and diffusion-induced interface motion: Modelling and numerical simulations. European Journal of Applied Mathematics 18 (6), S. 631-657. Volltext nicht vorhanden.

Garcke, Harald und Wieland, Sandra (2006) Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System. SIAM Journal on Mathematical Analysis 37 (6), S. 2025-2048. Volltext nicht vorhanden.

Garcke, Harald , Ito, Kazuo und Kohsaka, Yoshihito (2005) Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions. SIAM Journal on Mathematical Analysis 36 (4), S. 1031-1056. Volltext nicht vorhanden.

Nestler, Britta, Garcke, Harald und Stinner, Björn (2005) Multicomponent Alloy Solidification: Phase-Field Modelling and Simulations. Physical Review E 71 (4), 041609.

Garcke, Harald und Weikard, Ulrich (2005) Numerical Approximation of the Cahn-Larché Equation. Numerische Mathematik 100 (4), S. 639-662.

Garcke, Harald (2005) On a Cahn–Hilliard model for phase separation with elastic misfit. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 22 (2), S. 165-185. Volltext nicht vorhanden.

Stinner, Bjorn , Nestler, Britta und Garcke, Harald (2004) A Diffuse Interface Model for Alloys with Multiple Components and Phases. SIAM Journal on Applied Mathematics 64 (3), S. 775-799. Volltext nicht vorhanden.

Escher, Joachim, Garcke, Harald und Ito, Kazuo (2003) Exponential stability for a mirror–symmetric three phase boundary motion by surface diffusion. Mathematische Nachrichten 257 (1), S. 3-15. Volltext nicht vorhanden.

Garcke, Harald (2003) On Cahn—Hilliard systems with elasticity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133 (2), S. 307-331. Volltext nicht vorhanden.

Garcke, Harald , Niethammer, Barbara, Rumpf, Martin und Weikard, Ulrich (2003) Transient coarsening behaviour in the Cahn–Hilliard model. Acta Materialia 51 (10), S. 2823-2830. Volltext nicht vorhanden.