Edit Profile (opens in new tab) Nürnberg, Robert Co-Author Distance Author ID: nurnberg.robert Published as: Nürnberg, Robert; Nürnberg, R. Homepage: https://nurnberg.maths.unitn.it/ External Links: MGP · ORCID · arXiv · dblp Documents Indexed: 86 Publications since 2002, including 3 Additional arXiv Preprints Co-Authors: 32 Co-Authors with 84 Joint Publications 618 Co-Co-Authors all top 5 Co-Authors 2 single-authored 52 Garcke, Harald 45 Barrett, John William 8 Baňas, Ľubomír 7 Deckelnick, Klaus 6 Zhao, Quan 3 Lam, Kei Fong 3 Styles, Vanessa 2 Bao, Weizhu 2 Römisch, Werner 2 Sacconi, Andrea 2 Signori, Andrea 2 Tucker, Edward J. W. 1 Agnese, Marco 1 Aland, Sebastian 1 Antonopoulou, Dimitra C. 1 Carini, Laura 1 Dorfler, Willy 1 Ebenbeck, Matthias 1 Eto, Tokuhiro 1 Eyles, Joe 1 Hahn, Andreas 1 Jensen, Max 1 Kahle, Christian 1 Knopf, Patrik 1 Langdon, Stephen 1 Novick-Cohen, Amy 1 Nowak, Matthias Peter 1 Prohl, Andreas 1 Schultz, Rüdiger 1 Sitka, Emanuel 1 Warner, Mark R. E. 1 Westphalen, Markus all top 5 Serials 8 IMA Journal of Numerical Analysis 7 Journal of Computational Physics 7 Numerische Mathematik 7 SIAM Journal on Numerical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Interfaces and Free Boundaries 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 SIAM Journal on Scientific Computing 2 Mathematics of Computation 2 Archivum Mathematicum 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Discrete and Continuous Dynamical Systems. Series S 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Nonlinear Science 1 Advances in Differential Equations 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering 1 Portugaliae Mathematica. Nova Série 1 Journal of Numerical Mathematics 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 SMAI Journal of Computational Mathematics all top 5 Fields 70 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 21 Differential geometry (53-XX) 13 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 1,044 times in 489 Documents Cited by ▼ Year ▼ A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 79 2007 A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel 63 2018 On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\). Zbl 1145.65068 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 62 2008 Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 53 2008 On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 45 2007 Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012 Barrett, John W.; Nürnberg, Robert; Styles, Vanessa 38 2004 Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 36 2020 The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 35 2011 Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 29 2008 A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 29 2016 Numerical approximation of gradient flows for closed curves in \(\mathbb R^{d}\). Zbl 1185.65027 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 24 2010 A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 23 2008 A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 23 2015 Adaptive finite element methods for Cahn-Hilliard equations. Zbl 1143.65076 Baňas, Ľubomír; Nürnberg, Robert 22 2008 Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 21 2012 On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 21 2015 Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 20 2003 A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty. Zbl 1079.90540 Nürnberg, Robert; Römisch, Werner 19 2002 Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076 Barrett, John W.; Langdon, Stephen; Nürnberg, Robert 19 2004 On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 19 2010 Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 18 2010 Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 17 2013 Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473 Barrett, J. W.; Nürnberg, R. 16 2004 Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 14 2012 Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2010 A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy. Zbl 1190.65137 Baňas, Ľubomír; Nürnberg, Robert 13 2009 Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2006 Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2015 Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 12 2019 A phase field model for the electromigration of intergranular voids. Zbl 1132.35082 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 11 2007 A multigrid method for the Cahn-Hilliard equation with obstacle potential. Zbl 1168.65386 Baňas, Ľubomír; Nürnberg, Robert 11 2009 Stable phase field approximations of anisotropic solidification. Zbl 1310.65120 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 11 2014 On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161 Barrett, John. W.; Garcke, Harald; Nürnberg, Robert 11 2013 Finite element approximation of a three dimensional phase field model for void electromigration. Zbl 1203.65175 Baňas, Ľubomír; Nürnberg, Robert 10 2008 Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076 Barrett, John W.; Nürnberg, Robert 10 2002 Variational discretization of axisymmetric curvature flows. Zbl 1419.65051 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 10 2019 Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 9 2017 Stochastic programming for power production and trading under uncertainty. Zbl 1161.90451 Schultz, Rüdiger; Nowak, Matthias P.; Nürnberg, Robert; Römisch, Werner; Westphalen, Markus 8 2003 Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 8 2015 Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. Zbl 07525159 Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan 8 2022 A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290 Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert 8 2021 Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 8 2013 Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044 Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E. 7 2006 Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. Zbl 1391.76769 Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert 7 2017 Numerical simulations of immiscible fluid clusters. Zbl 1162.76030 Nürnberg, Robert 6 2009 Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. Zbl 1371.35212 Baňas, Ľubomír; Nürnberg, Robert 6 2017 Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 6 2017 Cahn-Hilliard-Brinkman systems for tumour growth. Zbl 1480.35411 Ebenbeck, Matthias; Garcke, Harald; Nürnberg, Robert 6 2021 Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 6 2017 Stress- and diffusion-induced interface motion: modelling and numerical simulations. Zbl 1128.74004 Garcke, Harald; Nürnberg, Robert; Styles, Vanessa 5 2007 On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. Zbl 1165.35406 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 5 2008 Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 5 2021 Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010 Barrett, John W.; Nürnberg, Robert 4 2004 Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 4 2016 Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 4 2020 Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133 Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas 4 2021 Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. Zbl 1471.76084 Agnese, Marco; Nürnberg, Robert 4 2020 Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Zbl 1478.65084 Garcke, Harald; Nürnberg, Robert 3 2021 Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. Zbl 1511.49002 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea 3 2023 Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 3 2018 Discrete gradient flows for General curvature energies. Zbl 1434.65178 Dörfler, Willy; Nürnberg, Robert 3 2019 Stable discretizations of elastic flow in Riemannian manifolds. Zbl 1422.65249 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 3 2019 Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 2 2014 The degenerate and non-degenerate deep quench obstacle problem: a numerical comparison. Zbl 1270.35288 Baňas, Ľubomír; Novick-Cohen, Amy; Nürnberg, Robert 2 2013 Finite element approximation of a phase field model arising in nanostructure patterning. Zbl 1339.65179 Nürnberg, Robert; Tucker, Edward J. W. 2 2015 A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 07779730 Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan 2 2023 Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. Zbl 07705917 Garcke, Harald; Nürnberg, Robert; Zhao, Quan 2 2023 Phase field computations for surface diffusion and void electromigration in \({\mathbb{R}^3}\). Zbl 1259.78038 Baňas, Ľubomír; Nürnberg, Robert 2 2009 An unfitted finite element method for the numerical approximation of void electromigration. Zbl 1331.78027 Nürnberg, Robert; Sacconi, Andrea 1 2014 Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003 Deckelnick, Klaus; Nürnberg, Robert 1 2021 Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes. Zbl 1516.65128 Garcke, Harald; Nürnberg, Robert 1 2021 A structure preserving front tracking finite element method for the Mullins-Sekerka problem. Zbl 07711459 Nürnberg, Robert 1 2023 A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. Zbl 1510.35163 Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan 1 2023 Phase field topology optimisation for 4D printing. Zbl 1512.49007 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea 1 2023 Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. Zbl 1511.49002 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea 3 2023 A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 07779730 Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan 2 2023 Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. Zbl 07705917 Garcke, Harald; Nürnberg, Robert; Zhao, Quan 2 2023 A structure preserving front tracking finite element method for the Mullins-Sekerka problem. Zbl 07711459 Nürnberg, Robert 1 2023 A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. Zbl 1510.35163 Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan 1 2023 Phase field topology optimisation for 4D printing. Zbl 1512.49007 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Signori, Andrea 1 2023 Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. Zbl 07525159 Bao, Weizhu; Garcke, Harald; Nürnberg, Robert; Zhao, Quan 8 2022 A finite element error analysis for axisymmetric mean curvature flow. Zbl 07528290 Barrett, John W.; Deckelnick, Klaus; Nürnberg, Robert 8 2021 Cahn-Hilliard-Brinkman systems for tumour growth. Zbl 1480.35411 Ebenbeck, Matthias; Garcke, Harald; Nürnberg, Robert 6 2021 Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 5 2021 Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133 Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas 4 2021 Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Zbl 1478.65084 Garcke, Harald; Nürnberg, Robert 3 2021 Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. Zbl 1479.65003 Deckelnick, Klaus; Nürnberg, Robert 1 2021 Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes. Zbl 1516.65128 Garcke, Harald; Nürnberg, Robert 1 2021 Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 36 2020 Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 4 2020 Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. Zbl 1471.76084 Agnese, Marco; Nürnberg, Robert 4 2020 Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 12 2019 Variational discretization of axisymmetric curvature flows. Zbl 1419.65051 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 10 2019 Discrete gradient flows for General curvature energies. Zbl 1434.65178 Dörfler, Willy; Nürnberg, Robert 3 2019 Stable discretizations of elastic flow in Riemannian manifolds. Zbl 1422.65249 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 3 2019 A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029 Garcke, Harald; Lam, Kei Fong; Nürnberg, Robert; Sitka, Emanuel 63 2018 Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 3 2018 Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 9 2017 Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. Zbl 1391.76769 Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert 7 2017 Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. Zbl 1371.35212 Baňas, Ľubomír; Nürnberg, Robert 6 2017 Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 6 2017 Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 6 2017 A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 29 2016 Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 4 2016 A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 23 2015 On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 21 2015 Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2015 Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 8 2015 Finite element approximation of a phase field model arising in nanostructure patterning. Zbl 1339.65179 Nürnberg, Robert; Tucker, Edward J. W. 2 2015 Stable phase field approximations of anisotropic solidification. Zbl 1310.65120 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 11 2014 Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 2 2014 An unfitted finite element method for the numerical approximation of void electromigration. Zbl 1331.78027 Nürnberg, Robert; Sacconi, Andrea 1 2014 Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 17 2013 On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161 Barrett, John. W.; Garcke, Harald; Nürnberg, Robert 11 2013 Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 8 2013 The degenerate and non-degenerate deep quench obstacle problem: a numerical comparison. Zbl 1270.35288 Baňas, Ľubomír; Novick-Cohen, Amy; Nürnberg, Robert 2 2013 Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 21 2012 Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 14 2012 The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 35 2011 Numerical approximation of gradient flows for closed curves in \(\mathbb R^{d}\). Zbl 1185.65027 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 24 2010 On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 19 2010 Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 18 2010 Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2010 A posteriori estimates for the Cahn-Hilliard equation with obstacle free energy. Zbl 1190.65137 Baňas, Ľubomír; Nürnberg, Robert 13 2009 A multigrid method for the Cahn-Hilliard equation with obstacle potential. Zbl 1168.65386 Baňas, Ľubomír; Nürnberg, Robert 11 2009 Numerical simulations of immiscible fluid clusters. Zbl 1162.76030 Nürnberg, Robert 6 2009 Phase field computations for surface diffusion and void electromigration in \({\mathbb{R}^3}\). Zbl 1259.78038 Baňas, Ľubomír; Nürnberg, Robert 2 2009 On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\). Zbl 1145.65068 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 62 2008 Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 53 2008 Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 29 2008 A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 23 2008 Adaptive finite element methods for Cahn-Hilliard equations. Zbl 1143.65076 Baňas, Ľubomír; Nürnberg, Robert 22 2008 Finite element approximation of a three dimensional phase field model for void electromigration. Zbl 1203.65175 Baňas, Ľubomír; Nürnberg, Robert 10 2008 On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. Zbl 1165.35406 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 5 2008 A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 79 2007 On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 45 2007 A phase field model for the electromigration of intergranular voids. Zbl 1132.35082 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 11 2007 Stress- and diffusion-induced interface motion: modelling and numerical simulations. Zbl 1128.74004 Garcke, Harald; Nürnberg, Robert; Styles, Vanessa 5 2007 Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 13 2006 Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044 Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E. 7 2006 Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012 Barrett, John W.; Nürnberg, Robert; Styles, Vanessa 38 2004 Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076 Barrett, John W.; Langdon, Stephen; Nürnberg, Robert 19 2004 Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473 Barrett, J. W.; Nürnberg, R. 16 2004 Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010 Barrett, John W.; Nürnberg, Robert 4 2004 Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361 Barrett, John W.; Garcke, Harald; Nürnberg, Robert 20 2003 Stochastic programming for power production and trading under uncertainty. Zbl 1161.90451 Schultz, Rüdiger; Nowak, Matthias P.; Nürnberg, Robert; Römisch, Werner; Westphalen, Markus 8 2003 A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty. Zbl 1079.90540 Nürnberg, Robert; Römisch, Werner 19 2002 Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076 Barrett, John W.; Nürnberg, Robert 10 2002 all cited Publications top 5 cited Publications all top 5 Cited by 680 Authors 62 Garcke, Harald 53 Nürnberg, Robert 27 Barrett, John William 16 Zhao, Quan 15 Signori, Andrea 13 Styles, Vanessa 12 Lam, Kei Fong 12 Li, Buyang 10 Deckelnick, Klaus 10 Olshanskii, Maxim A. 10 Voigt, Axel 9 Elliott, Charles M. 9 Jiang, Wei 9 Kahle, Christian 9 Kovacs, Balazs A. 8 Bao, Weizhu 8 Pozzi, Paola 8 Rocca, Elisabetta 7 Baňas, Ľubomír 7 Bartels, Sören 7 Blank, Luise 7 Reusken, Arnold 7 Sprekels, Jürgen 6 Harfash, Akil Jassim 6 Knopf, Patrik 6 Mikula, Karol 6 Miranville, Alain M. 6 Stinner, Bjorn 5 Beneš, Michal 5 Colli, Pierluigi 5 Kim, Junseok 5 Li, Yifei 5 Lubich, Christian 5 Pluda, Alessandra 5 Ren, Weiqing 4 Aland, Sebastian 4 Bretin, Elie 4 Escudero, Laureano Fernando 4 Fritz, Marvin 4 Hassan, Sattar M. 4 Hintermüller, Michael 4 Hinze, Michael 4 Lai, Mingchih 4 Laurain, Antoine 4 Liu, Changchun 4 Lowengrub, John Samuel 4 Nitschke, Ingo 4 Nochetto, Ricardo Horacio 4 Reuther, Sebastian 4 Scarpa, Luca 4 Ševčovič, Daniel 4 Van Ackooij, Wim 4 Walker, Shawn W. 3 Abels, Helmut 3 Bonito, Andrea 3 Dai, Shibin 3 Dall’Acqua, Anna 3 Denis, Roland 3 Duan, Beiping 3 Ebenbeck, Matthias 3 Giorgini, Andrea 3 Guillén González, Francisco M. 3 Jankuhn, Thomas 3 Li, Lu 3 Li, Yibao 3 Lin, Chun-Chi 3 Masnou, Simon 3 Münch, Andreas 3 Oden, John Tinsley 3 Pan, Zhenguo 3 Quaini, Annalisa 3 Rätz, Andreas 3 Röger, Matthias 3 Sarbu, Lavinia 3 Schimperna, Giulio 3 Schultz, Rüdiger 3 Seol, Yunchang 3 Wise, Steven M. 3 Wohlmuth, Barbara I. 3 Xu, Jinchao 3 Yang, Xiaofeng 3 Yushutin, Vladimir 3 Zahedi, Sara 3 Zhang, Zhen 2 Anderson, Patrick D. 2 Antonietti, Paola Francesca 2 Araceli Garín, María 2 Bartezzaghi, Andrea 2 Benninghoff, Heike 2 Bonart, Henning 2 Brandner, Philip 2 Burger, Martin 2 Buscaglia, Gustavo Carlos 2 Butz, Martin V. 2 Chen, Wenbin 2 Cherfils, Laurence 2 Dede’, Luca 2 Demlow, Alan 2 Depner, Daniel 2 Dong, Suchuan ...and 580 more Authors all top 5 Cited in 138 Serials 53 Journal of Computational Physics 24 Numerische Mathematik 18 Computer Methods in Applied Mechanics and Engineering 17 SIAM Journal on Numerical Analysis 15 Mathematics of Computation 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Applied Mathematics and Optimization 12 SIAM Journal on Scientific Computing 11 Journal of Scientific Computing 9 Computers & Mathematics with Applications 9 Journal of Differential Equations 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Mathematical Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Interfaces and Free Boundaries 7 Journal of Fluid Mechanics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Numerical Methods for Partial Differential Equations 7 European Journal of Applied Mathematics 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Applied Numerical Mathematics 5 SIAM Journal on Applied Mathematics 5 Advances in Computational Mathematics 5 Nonlinear Analysis. Real World Applications 4 Archive for Rational Mechanics and Analysis 4 Calculus of Variations and Partial Differential Equations 4 Communications in Computational Physics 3 Applicable Analysis 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Mathematische Nachrichten 3 SIAM Journal on Control and Optimization 3 Physica D 3 Asymptotic Analysis 3 Annals of Operations Research 3 Applied Mathematical Modelling 3 European Journal of Operational Research 3 Mathematical Programming. Series A. Series B 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 3 Optimization and Engineering 3 Computational Methods in Applied Mathematics 3 Milan Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Geometric Flows 2 Computers and Fluids 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 BIT 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Journal für die Reine und Angewandte Mathematik 2 Quarterly of Applied Mathematics 2 Computational Mechanics 2 Applied Mathematics Letters 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 Journal of Nonlinear Science 2 Computational and Applied Mathematics 2 Top 2 Computing and Visualization in Science 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Evolution Equations 2 Archives of Computational Methods in Engineering 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Numerical Mathematics 2 Communications on Pure and Applied Analysis 2 Computational Management Science 2 Oberwolfach Reports 2 SIAM Journal on Imaging Sciences 2 Journal of Theoretical Biology 2 SMAI Journal of Computational Mathematics 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Mathematica Numerica Sinica 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Optimization 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics ...and 38 more Serials all top 5 Cited in 32 Fields 291 Partial differential equations (35-XX) 274 Numerical analysis (65-XX) 146 Fluid mechanics (76-XX) 86 Mechanics of deformable solids (74-XX) 79 Biology and other natural sciences (92-XX) 71 Differential geometry (53-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 31 Operations research, mathematical programming (90-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Classical thermodynamics, heat transfer (80-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year