Robert Nürnberg

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 42

Top Topics

Riemannian Manifolds

Structure Preserving

Top Venues

Numerische Mathematik

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Harald Garcke, Robert Nürnberg, Dennis Trautwein
Parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. CoRR (2024)
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. Numerische Mathematik 156 (4) (2024)
Harald Garcke, Robert Nürnberg, Quan Zhao
A variational front-tracking method for multiphase flow with triple junctions. CoRR (2024)
Harald Garcke, Robert Nürnberg
A finite element method for anisotropic crystal growth on surfaces. CoRR (2024)
Harald Garcke, Robert Nürnberg, Quan Zhao
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. Comput. Math. Appl. 155 (2024)
Klaus Deckelnick, Robert Nürnberg
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. CoRR (2024)
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions. CoRR (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow. CoRR (2023)
Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies. J. Nonlinear Sci. 33 (2) (2023)
Klaus Deckelnick, Robert Nürnberg
Discrete Hyperbolic Curvature Flow in the Plane. SIAM J. Numer. Anal. 61 (4) (2023)
Klaus Deckelnick, Robert Nürnberg
Discrete anisotropic curve shortening flow in higher codimension. CoRR (2023)
Robert Nürnberg
A structure preserving front tracking finite element method for the Mullins-Sekerka problem. J. Num. Math. 31 (2) (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. J. Comput. Phys. 489 (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Unfitted finite element methods for axisymmetric two-phase flow. CoRR (2023)
Harald Garcke, Robert Nürnberg, Quan Zhao
Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow. J. Sci. Comput. 97 (1) (2023)
Laura Carini, Max Jensen, Robert Nürnberg
Deep learning for gradient flows using the Brezis-Ekeland principle. CoRR (2022)
Klaus Deckelnick, Robert Nürnberg
An unconditionally stable finite element scheme for anisotropic curve shortening flow. CoRR (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. CoRR (2022)
Harald Garcke, Robert Nürnberg, Quan Zhao
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. CoRR (2022)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. J. Comput. Phys. 460 (2022)
Harald Garcke, Patrik Knopf, Robert Nürnberg, Quan Zhao
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. CoRR (2022)
Klaus Deckelnick, Robert Nürnberg
Discrete hyperbolic curvature flow in the plane. CoRR (2022)
Klaus Deckelnick, Robert Nürnberg
Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces. SIAM J. Numer. Anal. 59 (5) (2021)
Robert Nürnberg
A structure preserving front tracking finite element method for the Mullins-Sekerka problem. CoRR (2021)
Weizhu Bao, Harald Garcke, Robert Nürnberg, Quan Zhao
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. CoRR (2021)
Klaus Deckelnick, Robert Nürnberg
A novel finite element approximation of anisotropic curve shortening flow. CoRR (2021)
Harald Garcke, Robert Nürnberg
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Numerische Mathematik 149 (2) (2021)
Dimitra Antonopoulou, Lubomír Bañas, Robert Nürnberg, Andreas Prohl
Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Numerische Mathematik 147 (3) (2021)
Joe Eyles, Robert Nürnberg, Vanessa Styles
Finite element approximation of a phase field model for tumour growth. CoRR (2020)
Klaus Deckelnick, Robert Nürnberg
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. CoRR (2020)
Harald Garcke, Robert Nürnberg
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. CoRR (2020)
Harald Garcke, Robert Nürnberg
Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes. CoRR (2020)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable Discretizations of Elastic Flow in Riemannian Manifolds. SIAM J. Numer. Anal. 57 (4) (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. CoRR (2019)
John W. Barrett, Klaus Deckelnick, Robert Nürnberg
A finite element error analysis for axisymmetric mean curvature flow. CoRR (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element methods for fourth order axisymmetric geometric evolution equations. J. Comput. Phys. 376 (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Variational discretization of axisymmetric curvature flows. Numerische Mathematik 141 (3) (2019)
Marco Agnese, Robert Nürnberg
Fitted front tracking methods for two-phase incompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. CoRR (2019)
Willy Dörfler, Robert Nürnberg
Discrete Gradient Flows for General Curvature Energies. SIAM J. Sci. Comput. 41 (3) (2019)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Math. Comput. 86 (305) (2017)
John W. Barrett, Harald Garcke, Robert Nürnberg
A stable numerical method for the dynamics of fluidic membranes. Numerische Mathematik 134 (4) (2016)
John W. Barrett, Harald Garcke, Robert Nürnberg
Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects. SIAM J. Numer. Anal. 54 (3) (2016)
John W. Barrett, Harald Garcke, Robert Nürnberg
A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow. J. Sci. Comput. 63 (1) (2015)
John W. Barrett, Harald Garcke, Robert Nürnberg
Stable finite element approximations of two-phase flow with soluble surfactant. J. Comput. Phys. 297 (2015)
Robert Nürnberg, Andrea Sacconi
An unfitted finite element method for the numerical approximation of void electromigration. J. Comput. Appl. Math. 270 (2014)
Lubomír Bañas, Amy Novick-Cohen, Robert Nürnberg
The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison. Networks Heterog. Media 8 (1) (2013)
John W. Barrett, Harald Garcke, Robert Nürnberg
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Numerische Mathematik 120 (3) (2012)
John W. Barrett, Harald Garcke, Robert Nürnberg
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. J. Comput. Phys. 229 (18) (2010)
Lubomír Bañas, Robert Nürnberg
A multigrid method for the Cahn-Hilliard equation with obstacle potential. Appl. Math. Comput. 213 (2) (2009)
John W. Barrett, Harald Garcke, Robert Nürnberg
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Numerische Mathematik 109 (1) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. SIAM J. Sci. Comput. 31 (1) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
. J. Comput. Phys. 227 (9) (2008)
Lubomír Bañas, Robert Nürnberg
Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration. J. Sci. Comput. 37 (2) (2008)
John W. Barrett, Harald Garcke, Robert Nürnberg
A parametric finite element method for fourth order geometric evolution equations. J. Comput. Phys. 222 (1) (2007)
John W. Barrett, Harald Garcke, Robert Nürnberg
On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations. SIAM J. Sci. Comput. 29 (3) (2007)
John W. Barrett, Robert Nürnberg, Mark R. E. Warner
Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film. SIAM J. Numer. Anal. 44 (3) (2006)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Math. Comput. 75 (253) (2006)
John W. Barrett, Stephen Langdon, Robert Nürnberg
Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Numerische Mathematik 96 (3) (2004)
John W. Barrett, Robert Nürnberg, Vanessa Styles
Finite Element Approximation of a Phase Field Model for Void Electromigration. SIAM J. Numer. Anal. 42 (2) (2004)
John W. Barrett, Harald Garcke, Robert Nürnberg
Finite Element Approximation of Surfactant Spreading on a Thin Film. SIAM J. Numer. Anal. 41 (4) (2003)