Bartels, Sören

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 Author ID: bartels.soren Published as: Bartels, Sören; Bartels, S. Homepage: http://aam.uni-freiburg.de/abtlg/ls/lsbartels External Links: MGP
 Documents Indexed: 90 Publications since 2000, including 3 Books Co-Authors: 41 Co-Authors with 57 Joint Publications 997 Co-Co-Authors
all top 5

Co-Authors

 30 single-authored 12 Carstensen, Carsten 11 Prohl, Andreas 7 Nochetto, Ricardo Horacio 6 Müller, Rüdiger 5 Milicevic, Marijo 5 Roubíček, Tomáš 3 Dolzmann, Georg 2 Bonito, Andrea 2 Feng, Xiaobing 2 Hackl, Klaus 2 Hoppe, Ulrich 2 Plecháč, Petr 2 Raisch, Alexander Helmut-Wilhelm 2 Salgado, Abner J. 1 Antil, Harbir 1 Baňas, Ľubomír 1 Barrett, John W. 1 Bebendorf, Mario 1 Bratsch, Michael 1 Conti, Sergio 1 Diening, Lars 1 Hecht, Axel 1 Hornung, Peter 1 Jansche, Stefan 1 Jensen, Max 1 Keck, Jakob 1 Klose, Roland 1 Ko, Joy 1 Kružík, Martin 1 Lubich, Christian 1 Mielke, Alexander 1 Muliana, Anastasia Hanifah 1 Orlando, Antonio 1 Ortner, Christoph 1 Riege, Johannes 1 Růžička, Michael 1 Schön, Patrick 1 Schreier, Patrick 1 Thomas, Marita 1 Wachsmuth, Gerd 1 Wang, Zhangxian
all top 5

Serials

 19 SIAM Journal on Numerical Analysis 12 Mathematics of Computation 12 Numerische Mathematik 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 IMA Journal of Numerical Analysis 5 Interfaces and Free Boundaries 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Computational Methods in Applied Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 BIT 1 Journal of Computational and Applied Mathematics 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Elasticity 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Multiscale Modeling & Simulation 1 Springer Series in Computational Mathematics 1 Texts in Applied Mathematics 1 Springer-Lehrbuch
all top 5

Fields

 77 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 32 Mechanics of deformable solids (74-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

82 Publications have been cited 918 times in 588 Documents Cited by Year
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. Zbl 0997.65126
Carstensen, Carsten; Bartels, Sören
2002
A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044
Carstensen, Carsten; Bartels, Sören; Jansche, Stefan
2002
Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088
Bartels, Sören; Prohl, Andreas
2006
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050
Bartels, S.; Carstensen, C.
2004
Numerical methods for nonlinear partial differential equations. Zbl 1314.65003
Bartels, Sören
2015
Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501
Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U.
2004
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113
Bartels, S.; Carstensen, C.; Dolzmann, G.
2004
Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014
Bartels, Sören
2005
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
2011
Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067
Bartels, Sören
2012
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
2012
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089
Bartels, Sören; Prohl, Andreas
2007
Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154
Bartels, Sören; Jensen, Max; Müller, Rüdiger
2009
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2014
A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321
Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas
2008
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043
Bartels, Sören; Ko, Joy; Prohl, Andreas
2008
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. II: Higher order FEM. Zbl 0997.65127
Bartels, Sören; Carstensen, Carsten
2002
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151
Bartels, Sören
2010
Robust a priori and a posteriori error analysis for the approximation of Allen-Cahn and Ginzburg-Landau equations past topological changes. Zbl 1235.65116
Bartels, Sören; Müller, Rüdiger; Ortner, Christoph
2011
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
2017
A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089
Bartels, Sören
2005
Numerical approximation of partial differential equations. Zbl 1353.65089
Bartels, Sören
2016
Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052
Bartels, Sören
2005
A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121
Bartels, Sören
2013
An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Zbl 0999.65117
Carstensen, Carsten; Bartels, Sören; Klose, Roland
2001
Quasi-optimal and robust a posteriori error estimates in $$L^{\infty}(L^{2})$$ for the approximation of Allen-Cahn equations past singularities. Zbl 1215.65149
Bartels, Sören; Müller, Rüdiger
2011
Bilayer plates: model reduction, $$\gamma$$-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029
Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H.
2017
Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098
Bartels, Sören
2013
Thermoviscoplasticity at small strains. Zbl 1153.74011
Bartels, Sören; Roubíček, Tomáš
2008
A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244
Bartels, Sören; Müller, Rüdiger
2010
Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141
Bartels, Sören
2015
Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075
Bartels, Sören; Müller, Rüdiger
2011
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178
Bartels, Sören; Lubich, Christian; Prohl, Andreas
2009
Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058
Bartels, Sören
2004
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2015
A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128
Bartels, Sören; Reiter, Philipp; Riege, Johannes
2018
Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017
Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A.
2004
Bending paper and the Möbius strip. Zbl 1464.74025
Bartels, Sören; Hornung, Peter
2015
Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044
Bartels, Sören; Prohl, Andreas
2004
Linear-programming approach to nonconvex variational problems. Zbl 1063.65051
Bartels, Sören; Roubíček, Tomáš
2004
Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069
Bartels, Sören
2004
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2008
Simulation of $$Q$$-tensor fields with constant orientational order parameter in the theory of uniaxial nematic liquid crystals. Zbl 1321.82034
Bartels, Sören; Raisch, Alexander
2014
Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152
Bartels, Sören; Milicevic, Marijo
2016
Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098
Bartels, Sören; Diening, Lars; Nochetto, Ricardo H.
2018
Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161
Bartels, Sören
2016
Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010
Bartels, Sören
2016
A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038
Bartels, Sören; Carstensen, Carsten
2008
Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100
Bartels, Sören; Schön, Patrick
2017
P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112
Bartels, S.; Carstensen, C.; Hecht, A.
2006
Finite element approximation of large bending isometries. Zbl 1267.74109
Bartels, Sören
2013
Finite element methods for director fields on flexible surfaces. Zbl 1300.35060
Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander
2012
Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264
Bartels, Sören
2009
Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095
Bartels, Sören
2014
Convergence of an implicit, constraint preserving finite element discretization of $$p$$-harmonic heat flow into spheres. Zbl 1155.65068
Bartels, Sören; Prohl, Andreas
2008
A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210
Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.
2010
An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020
Bartels, Sören; Kružík, Martin
2011
Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016
Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H.
2018
Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011
Bartels, Sören; Prohl, Andreas
2007
Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153
Bartels, Sören; Reiter, Philipp
2020
Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255
Bartels, Sören
2020
Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064
Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio
2006
Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221
Bartels, Sören; Schreier, Patrick
2012
Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021
Bartels, Sören; Roubíček, Tomáš
2013
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006
Bartels, Sören
2005
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111
Bartels, Sören; Wang, Zhangxian
2021
Numerical approximation of optimal convex shapes. Zbl 1440.49036
Bartels, Sören; Wachsmuth, Gerd
2020
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161
Bartels, Sören; Reiter, Philipp
2021
Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068
Bartels, Sören; Růžička, Michael
2020
Numerical approach to a model for quasistatic damage with spatial $$BV$$-regularization. Zbl 1407.49048
Bartels, Sören; Milicevic, Marijo; Thomas, Marita
2018
A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099
Bartels, Sören
2016
Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350
Bartels, S.
2002
Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science. Zbl 1015.74056
Bartels, Sören; Carstensen, Carsten; Plecháč, Petr
2000
Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440
Bartels, Sören
2009
A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017
Bartels, Sören; Bebendorf, Mario; Bratsch, Michael
2014
Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358
Bartels, Sören; Buttazzo, Giuseppe
2019
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 07351722
Bartels, Sören
2021
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906
Bartels, Sören; Milicevic, Marijo
2020
Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003
Bartels, Sören
2020
Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178
Bartels, Sören; Milicevic, Marijo
2017
Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097
Bartels, Sören
2017
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111
Bartels, Sören; Wang, Zhangxian
2021
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161
Bartels, Sören; Reiter, Philipp
2021
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 07351722
Bartels, Sören
2021
Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153
Bartels, Sören; Reiter, Philipp
2020
Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255
Bartels, Sören
2020
Numerical approximation of optimal convex shapes. Zbl 1440.49036
Bartels, Sören; Wachsmuth, Gerd
2020
Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068
Bartels, Sören; Růžička, Michael
2020
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906
Bartels, Sören; Milicevic, Marijo
2020
Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003
Bartels, Sören
2020
Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358
Bartels, Sören; Buttazzo, Giuseppe
2019
A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128
Bartels, Sören; Reiter, Philipp; Riege, Johannes
2018
Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098
Bartels, Sören; Diening, Lars; Nochetto, Ricardo H.
2018
Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016
Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H.
2018
Numerical approach to a model for quasistatic damage with spatial $$BV$$-regularization. Zbl 1407.49048
Bartels, Sören; Milicevic, Marijo; Thomas, Marita
2018
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
2017
Bilayer plates: model reduction, $$\gamma$$-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029
Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H.
2017
Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100
Bartels, Sören; Schön, Patrick
2017
Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178
Bartels, Sören; Milicevic, Marijo
2017
Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097
Bartels, Sören
2017
Numerical approximation of partial differential equations. Zbl 1353.65089
Bartels, Sören
2016
Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152
Bartels, Sören; Milicevic, Marijo
2016
Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161
Bartels, Sören
2016
Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010
Bartels, Sören
2016
A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099
Bartels, Sören
2016
Numerical methods for nonlinear partial differential equations. Zbl 1314.65003
Bartels, Sören
2015
Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141
Bartels, Sören
2015
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2015
Bending paper and the Möbius strip. Zbl 1464.74025
Bartels, Sören; Hornung, Peter
2015
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2014
Simulation of $$Q$$-tensor fields with constant orientational order parameter in the theory of uniaxial nematic liquid crystals. Zbl 1321.82034
Bartels, Sören; Raisch, Alexander
2014
Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095
Bartels, Sören
2014
A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017
Bartels, Sören; Bebendorf, Mario; Bratsch, Michael
2014
A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121
Bartels, Sören
2013
Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098
Bartels, Sören
2013
Finite element approximation of large bending isometries. Zbl 1267.74109
Bartels, Sören
2013
Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021
Bartels, Sören; Roubíček, Tomáš
2013
Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067
Bartels, Sören
2012
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
2012
Finite element methods for director fields on flexible surfaces. Zbl 1300.35060
Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander
2012
Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221
Bartels, Sören; Schreier, Patrick
2012
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
2011
Robust a priori and a posteriori error analysis for the approximation of Allen-Cahn and Ginzburg-Landau equations past topological changes. Zbl 1235.65116
Bartels, Sören; Müller, Rüdiger; Ortner, Christoph
2011
Quasi-optimal and robust a posteriori error estimates in $$L^{\infty}(L^{2})$$ for the approximation of Allen-Cahn equations past singularities. Zbl 1215.65149
Bartels, Sören; Müller, Rüdiger
2011
Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075
Bartels, Sören; Müller, Rüdiger
2011
An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020
Bartels, Sören; Kružík, Martin
2011
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151
Bartels, Sören
2010
A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244
Bartels, Sören; Müller, Rüdiger
2010
A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210
Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.
2010
Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154
Bartels, Sören; Jensen, Max; Müller, Rüdiger
2009
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178
Bartels, Sören; Lubich, Christian; Prohl, Andreas
2009
Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264
Bartels, Sören
2009
Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440
Bartels, Sören
2009
A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321
Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas
2008
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043
Bartels, Sören; Ko, Joy; Prohl, Andreas
2008
Thermoviscoplasticity at small strains. Zbl 1153.74011
Bartels, Sören; Roubíček, Tomáš
2008
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2008
A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038
Bartels, Sören; Carstensen, Carsten
2008
Convergence of an implicit, constraint preserving finite element discretization of $$p$$-harmonic heat flow into spheres. Zbl 1155.65068
Bartels, Sören; Prohl, Andreas
2008
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089
Bartels, Sören; Prohl, Andreas
2007
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011
Bartels, Sören; Prohl, Andreas
2007
Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088
Bartels, Sören; Prohl, Andreas
2006
P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112
Bartels, S.; Carstensen, C.; Hecht, A.
2006
Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064
Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio
2006
Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014
Bartels, Sören
2005
A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089
Bartels, Sören
2005
Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052
Bartels, Sören
2005
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006
Bartels, Sören
2005
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050
Bartels, S.; Carstensen, C.
2004
Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501
Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U.
2004
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113
Bartels, S.; Carstensen, C.; Dolzmann, G.
2004
Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058
Bartels, Sören
2004
Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017
Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A.
2004
Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044
Bartels, Sören; Prohl, Andreas
2004
Linear-programming approach to nonconvex variational problems. Zbl 1063.65051
Bartels, Sören; Roubíček, Tomáš
2004
Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069
Bartels, Sören
2004
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. Zbl 0997.65126
Carstensen, Carsten; Bartels, Sören
2002
A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044
Carstensen, Carsten; Bartels, Sören; Jansche, Stefan
2002
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. II: Higher order FEM. Zbl 0997.65127
Bartels, Sören; Carstensen, Carsten
2002
Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350
Bartels, S.
2002
An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Zbl 0999.65117
Carstensen, Carsten; Bartels, Sören; Klose, Roland
2001
Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science. Zbl 1015.74056
Bartels, Sören; Carstensen, Carsten; Plecháč, Petr
2000
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Cited by 803 Authors

 46 Bartels, Sören 41 Carstensen, Carsten 17 Nochetto, Ricardo Horacio 17 Praetorius, Dirk 13 Roubíček, Tomáš 9 Antil, Harbir 9 Huang, Yunqing 9 Mielke, Alexander 9 Walker, Shawn W. 8 Dolzmann, Georg 8 Feischl, Michael 8 Hoppe, Ronald H. W. 8 Hornung, Peter 8 Merdon, Christian 8 Prohl, Andreas 8 Repin, Sergeĭ Igorevich 7 Bonito, Andrea 7 Conti, Sergio 7 Gudi, Thirupathi 7 Hackl, Klaus 7 Shi, Zhongci 6 Kochmann, Dennis M. 6 Meyer, Christian 6 Page, Marcus 6 Ruggeri, Michele 6 Sander, Oliver 6 Schroder, Andreas 6 Tilioua, Mouhcine 6 Yi, Nianyu 5 Baňas, Ľubomír 5 Banz, Lothar 5 Cai, Zhiqiang 5 Eigel, Martin 5 Georgoulis, Emmanuil H. 5 Hintermüller, Michael 5 Hu, Jun 5 Porwal, Kamana 5 Rossi, Riccarda 5 Salgado, Abner J. 5 Veeser, Andreas 4 Chen, Jingrun 4 Du, Qiang 4 Du, Shaohong 4 Dubey, Shruti A. 4 Dwivedi, Sharad 4 Freddi, Lorenzo 4 Führer, Thomas 4 Guo, Hui 4 Hardering, Hanne 4 Herzog, Roland 4 Le, Kim-Ngan 4 Li, Jizhou 4 Milicevic, Marijo 4 Mora, Maria Giovanna 4 Owczarek, Sebastian 4 Paroni, Roberto 4 Rademacher, Andreas 4 Rivière, Beatrice M. 4 Stenberg, Rolf 4 Valdman, Jan 4 van der Zee, Kristoffer George 4 Yang, Wei 4 Yang, Yang 4 Yang, Ying 4 Zhang, Shun 4 Zhang, Zhimin 4 Zhou, Aihui 4 Zou, Qingsong 3 Achchab, Boujemaa 3 Ainsworth, Mark 3 Alouges, François 3 Beirão da Veiga, Lourenço 3 Benešová, Barbora 3 Burger, Martin 3 Cangiani, Andrea 3 Chen, Yaoyao 3 Eleuteri, Michela 3 Gaddam, Sharat 3 Gallistl, Dietmar 3 Gilboa, Guy 3 Guo, Hailong 3 Gutiérrez-Santacreu, Juan Vicente 3 Gwiazda, Piotr 3 Heinemann, Christian 3 Hoppe, Ulrich 3 Jia, Hongen 3 Kaltenbacher, Barbara 3 Klawe, Filip Z. 3 Kornhuber, Ralf 3 Kraus, Christiane 3 Kružík, Martin 3 Lazzaroni, Giuliano 3 Li, Yukun 3 Lubich, Christian 3 Makridakis, Charalambos G. 3 Möller, Michael 3 Nürnberg, Robert 3 Orlando, Antonio 3 Pauly, Dirk 3 Quyen, Tran Nhan Tam ...and 703 more Authors
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Cited in 140 Serials

 51 Numerische Mathematik 32 Mathematics of Computation 28 Computer Methods in Applied Mechanics and Engineering 26 Journal of Scientific Computing 24 Journal of Computational and Applied Mathematics 24 SIAM Journal on Numerical Analysis 20 Journal of Computational Physics 18 Applied Numerical Mathematics 17 Computers & Mathematics with Applications 14 Numerical Methods for Partial Differential Equations 14 SIAM Journal on Scientific Computing 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computational Methods in Applied Mathematics 9 Nonlinear Analysis. Real World Applications 8 Discrete and Continuous Dynamical Systems. Series S 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Inverse Problems 6 SIAM Journal on Control and Optimization 6 SIAM Journal on Mathematical Analysis 6 Advances in Computational Mathematics 5 Computational Mechanics 5 Journal of Mathematical Imaging and Vision 5 Continuum Mechanics and Thermodynamics 5 Calculus of Variations and Partial Differential Equations 5 SIAM Journal on Imaging Sciences 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Journal of Engineering Mathematics 4 Journal of the Mechanics and Physics of Solids 4 Mathematical Methods in the Applied Sciences 4 BIT 4 Applied Mathematics Letters 4 Journal of Elasticity 4 Journal of Nonlinear Science 4 Mathematics and Mechanics of Solids 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Interfaces and Free Boundaries 4 GAMM-Mitteilungen 4 Mathematical Control and Related Fields 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 International Journal for Numerical Methods in Engineering 3 Journal of Differential Equations 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Archives of Computational Methods in Engineering 3 Foundations of Computational Mathematics 3 Journal of Numerical Mathematics 3 Science China. Mathematics 2 Meccanica 2 Quarterly of Applied Mathematics 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Numerical Algorithms 2 SIAM Journal on Optimization 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Journal of Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Boundary Value Problems 2 Communications in Computational Physics 2 Advances in Applied Mathematics and Mechanics 2 Afrika Matematika 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 SIAM/ASA Journal on Uncertainty Quantification 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Plasticity 1 Nonlinearity 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Knot Theory and its Ramifications 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal ...and 40 more Serials
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Cited in 35 Fields

 421 Numerical analysis (65-XX) 294 Partial differential equations (35-XX) 164 Mechanics of deformable solids (74-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 58 Fluid mechanics (76-XX) 46 Optics, electromagnetic theory (78-XX) 39 Statistical mechanics, structure of matter (82-XX) 19 Operations research, mathematical programming (90-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Differential geometry (53-XX) 13 Probability theory and stochastic processes (60-XX) 13 Information and communication theory, circuits (94-XX) 11 Computer science (68-XX) 9 Real functions (26-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Operator theory (47-XX) 8 Biology and other natural sciences (92-XX) 7 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX)