Entries of Nürnberg, Robert on the publication server

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 156, pp. 1479-1509.

Garcke, Harald , Nürnberg, Robert and Zhao, Quan (2023) Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. Journal of Scientific Computing 97, Artikel Nr 14. Fulltext not available.

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.

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert and Signori, Andrea (2023) Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies. Applied Mathematics & Optimization 87 (3). Fulltext not available.

Garcke, Harald , Lam, Kei Fong , Nürnberg, Robert and Signori, Andrea (2023) Phase field topology optimisation for 4D printing. ESAIM: Control, Optimisation and Calculus of Variations 29, p. 24. Fulltext not available.

Garcke, Harald , Nürnberg, Robert and Zhao, Quan (2023) Structure-preserving discretizations of two-phase Navier–Stokes flow using fitted and unfitted approaches. Journal of Computational Physics 489, p. 112276. Fulltext not available.

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.

Bao, Weizhu, Garcke, Harald, Nürnberg, Robert and Zhao, Quan (2022) Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. Journal of Computational Physics 460, p. 111180. Fulltext not available.

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, 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.

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.

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.

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.

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.

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.

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.

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.

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)

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.

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)

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.

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.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2016) Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects. SIAM Journal on Numerical Analysis 54 (3), pp. 1732-1762. 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.

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)

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)

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2015) A Stable Parametric Finite Element Discretization of Two-Phase Navier–Stokes Flow. Journal of Scientific Computing 63 (1), pp. 78-117. Fulltext not available.

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.

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.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2015) Numerical computations of the dynamics of fluidic membranes and vesicles. Physical Review E 92 (5). Fulltext not available.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2015) Stable finite element approximations of two-phase flow with soluble surfactant. Journal of Computational Physics 297, pp. 530-564. Fulltext not available.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2015) Stable numerical approximation of two-phase flow with a Boussinesq–Scriven surface fluid. Communications in Mathematical Sciences 13 (7), pp. 1829-1874. Fulltext not available.

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.

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.

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.

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.

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.

Barrett, John W., Garcke, Harald and 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, pp. 511-530. Fulltext not available.

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.

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.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2012) Numerical computations of faceted pattern formation in snow crystal growth. Physical Review E 86 (1). Fulltext not available.

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) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik 120 (3), pp. 489-542. Fulltext not available.

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.

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.

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.

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.

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) 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), pp. 6270-6299. Fulltext not available.

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.

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, Mathematical Analysis, Computation and Applications 12 (2), pp. 187-234. Fulltext not available.

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)

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2008) A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik 109 (1), pp. 1-44. Fulltext not available.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2008) On the parametric finite element approximation of evolving hypersurfaces in R3. Journal of Computational Physics 227 (9), pp. 4281-4307. Fulltext not available.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2008) Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM Journal on Scientific Computing 31 (1), pp. 225-253. Fulltext not available.

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.

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) A parametric finite element method for fourth order geometric evolution equations. Journal of Computational Physics 222 (1), pp. 441-467. Fulltext not available.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2007) A phase field model for the electromigration of intergranular voids. Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications 9 (2), pp. 171-210. Fulltext not available.

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)

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.

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

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)