Edit Profile (opens in new tab) Bartels, Sören Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0997.65126Carstensen, Carsten; Bartels, Sören 75 2002 A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044Carstensen, Carsten; Bartels, Sören; Jansche, Stefan 49 2002 Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088Bartels, Sören; Prohl, Andreas 46 2006 Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050Bartels, S.; Carstensen, C. 40 2004 Numerical methods for nonlinear partial differential equations. Zbl 1314.65003Bartels, Sören 37 2015 Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U. 35 2004 Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113Bartels, S.; Carstensen, C.; Dolzmann, G. 34 2004 Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014Bartels, Sören 32 2005 Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037Bartels, Sören; Roubíček, Tomáš 25 2011 Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067Bartels, Sören 25 2012 Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş 23 2012 Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089Bartels, Sören; Prohl, Andreas 23 2007 Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154Bartels, Sören; Jensen, Max; Müller, Rüdiger 22 2009 Discrete total variation flows without regularization. Zbl 1292.65106Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 20 2014 A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas 20 2008 Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043Bartels, Sören; Ko, Joy; Prohl, Andreas 20 2008 Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. II: Higher order FEM. Zbl 0997.65127Bartels, Sören; Carstensen, Carsten 19 2002 Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151Bartels, Sören 17 2010 Robust a priori and a posteriori error analysis for the approximation of Allen-Cahn and Ginzburg-Landau equations past topological changes. Zbl 1235.65116Bartels, Sören; Müller, Rüdiger; Ortner, Christoph 16 2011 A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 15 2007 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222Antil, Harbir; Bartels, Sören 15 2017 A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089Bartels, Sören 14 2005 Numerical approximation of partial differential equations. Zbl 1353.65089Bartels, Sören 13 2016 Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052Bartels, Sören 13 2005 A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121Bartels, Sören 11 2013 An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Zbl 0999.65117Carstensen, Carsten; Bartels, Sören; Klose, Roland 11 2001 Quasi-optimal and robust a posteriori error estimates in \(L^{\infty}(L^{2})\) for the approximation of Allen-Cahn equations past singularities. Zbl 1215.65149Bartels, Sören; Müller, Rüdiger 10 2011 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 10 2017 Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098Bartels, Sören 10 2013 Thermoviscoplasticity at small strains. Zbl 1153.74011Bartels, Sören; Roubíček, Tomáš 10 2008 A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244Bartels, Sören; Müller, Rüdiger 10 2010 Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141Bartels, Sören 9 2015 Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075Bartels, Sören; Müller, Rüdiger 9 2011 Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178Bartels, Sören; Lubich, Christian; Prohl, Andreas 8 2009 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058Bartels, Sören 8 2004 A total variation diminishing interpolation operator and applications. Zbl 1321.65017Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 8 2015 A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128Bartels, Sören; Reiter, Philipp; Riege, Johannes 7 2018 Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A. 7 2004 Bending paper and the Möbius strip. Zbl 1464.74025Bartels, Sören; Hornung, Peter 7 2015 Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044Bartels, Sören; Prohl, Andreas 6 2004 Linear-programming approach to nonconvex variational problems. Zbl 1063.65051Bartels, Sören; Roubíček, Tomáš 6 2004 Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069Bartels, Sören 6 2004 Finite element approximations of wave maps into spheres. Zbl 1160.65050Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 6 2008 Simulation of \(Q\)-tensor fields with constant orientational order parameter in the theory of uniaxial nematic liquid crystals. Zbl 1321.82034Bartels, Sören; Raisch, Alexander 6 2014 Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152Bartels, Sören; Milicevic, Marijo 6 2016 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 5 2018 Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161Bartels, Sören 5 2016 Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010Bartels, Sören 5 2016 A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038Bartels, Sören; Carstensen, Carsten 5 2008 Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100Bartels, Sören; Schön, Patrick 5 2017 P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112Bartels, S.; Carstensen, C.; Hecht, A. 4 2006 Finite element approximation of large bending isometries. Zbl 1267.74109Bartels, Sören 4 2013 Finite element methods for director fields on flexible surfaces. Zbl 1300.35060Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander 4 2012 Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264Bartels, Sören 4 2009 Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095Bartels, Sören 4 2014 Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068Bartels, Sören; Prohl, Andreas 4 2008 A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. 4 2010 An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020Bartels, Sören; Kružík, Martin 4 2011 Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H. 4 2018 Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011Bartels, Sören; Prohl, Andreas 3 2007 Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153Bartels, Sören; Reiter, Philipp 3 2020 Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255Bartels, Sören 3 2020 Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio 3 2006 Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221Bartels, Sören; Schreier, Patrick 2 2012 Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021Bartels, Sören; Roubíček, Tomáš 2 2013 Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006Bartels, Sören 2 2005 Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111Bartels, Sören; Wang, Zhangxian 2 2021 Numerical approximation of optimal convex shapes. Zbl 1440.49036Bartels, Sören; Wachsmuth, Gerd 2 2020 Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161Bartels, Sören; Reiter, Philipp 2 2021 Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068Bartels, Sören; Růžička, Michael 2 2020 Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization. Zbl 1407.49048Bartels, Sören; Milicevic, Marijo; Thomas, Marita 1 2018 A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099Bartels, Sören 1 2016 Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350Bartels, S. 1 2002 Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science. Zbl 1015.74056Bartels, Sören; Carstensen, Carsten; Plecháč, Petr 1 2000 Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440Bartels, Sören 1 2009 A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017Bartels, Sören; Bebendorf, Mario; Bratsch, Michael 1 2014 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358Bartels, Sören; Buttazzo, Giuseppe 1 2019 Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 07351722Bartels, Sören 1 2021 Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906Bartels, Sören; Milicevic, Marijo 1 2020 Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003Bartels, Sören 1 2020 Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178Bartels, Sören; Milicevic, Marijo 1 2017 Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097Bartels, Sören 1 2017 Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111Bartels, Sören; Wang, Zhangxian 2 2021 Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161Bartels, Sören; Reiter, Philipp 2 2021 Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 07351722Bartels, Sören 1 2021 Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153Bartels, Sören; Reiter, Philipp 3 2020 Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255Bartels, Sören 3 2020 Numerical approximation of optimal convex shapes. Zbl 1440.49036Bartels, Sören; Wachsmuth, Gerd 2 2020 Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068Bartels, Sören; Růžička, Michael 2 2020 Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906Bartels, Sören; Milicevic, Marijo 1 2020 Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003Bartels, Sören 1 2020 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358Bartels, Sören; Buttazzo, Giuseppe 1 2019 A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128Bartels, Sören; Reiter, Philipp; Riege, Johannes 7 2018 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 5 2018 Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H. 4 2018 Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization. Zbl 1407.49048Bartels, Sören; Milicevic, Marijo; Thomas, Marita 1 2018 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222Antil, Harbir; Bartels, Sören 15 2017 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 10 2017 Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100Bartels, Sören; Schön, Patrick 5 2017 Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178Bartels, Sören; Milicevic, Marijo 1 2017 Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097Bartels, Sören 1 2017 Numerical approximation of partial differential equations. Zbl 1353.65089Bartels, Sören 13 2016 Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152Bartels, Sören; Milicevic, Marijo 6 2016 Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161Bartels, Sören 5 2016 Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010Bartels, Sören 5 2016 A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099Bartels, Sören 1 2016 Numerical methods for nonlinear partial differential equations. Zbl 1314.65003Bartels, Sören 37 2015 Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141Bartels, Sören 9 2015 A total variation diminishing interpolation operator and applications. Zbl 1321.65017Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 8 2015 Bending paper and the Möbius strip. Zbl 1464.74025Bartels, Sören; Hornung, Peter 7 2015 Discrete total variation flows without regularization. Zbl 1292.65106Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 20 2014 Simulation of \(Q\)-tensor fields with constant orientational order parameter in the theory of uniaxial nematic liquid crystals. Zbl 1321.82034Bartels, Sören; Raisch, Alexander 6 2014 Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095Bartels, Sören 4 2014 A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017Bartels, Sören; Bebendorf, Mario; Bratsch, Michael 1 2014 A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121Bartels, Sören 11 2013 Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098Bartels, Sören 10 2013 Finite element approximation of large bending isometries. Zbl 1267.74109Bartels, Sören 4 2013 Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021Bartels, Sören; Roubíček, Tomáš 2 2013 Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067Bartels, Sören 25 2012 Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş 23 2012 Finite element methods for director fields on flexible surfaces. Zbl 1300.35060Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander 4 2012 Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221Bartels, Sören; Schreier, Patrick 2 2012 Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037Bartels, Sören; Roubíček, Tomáš 25 2011 Robust a priori and a posteriori error analysis for the approximation of Allen-Cahn and Ginzburg-Landau equations past topological changes. Zbl 1235.65116Bartels, Sören; Müller, Rüdiger; Ortner, Christoph 16 2011 Quasi-optimal and robust a posteriori error estimates in \(L^{\infty}(L^{2})\) for the approximation of Allen-Cahn equations past singularities. Zbl 1215.65149Bartels, Sören; Müller, Rüdiger 10 2011 Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075Bartels, Sören; Müller, Rüdiger 9 2011 An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020Bartels, Sören; Kružík, Martin 4 2011 Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151Bartels, Sören 17 2010 A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244Bartels, Sören; Müller, Rüdiger 10 2010 A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. 4 2010 Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154Bartels, Sören; Jensen, Max; Müller, Rüdiger 22 2009 Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178Bartels, Sören; Lubich, Christian; Prohl, Andreas 8 2009 Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264Bartels, Sören 4 2009 Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440Bartels, Sören 1 2009 A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas 20 2008 Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043Bartels, Sören; Ko, Joy; Prohl, Andreas 20 2008 Thermoviscoplasticity at small strains. Zbl 1153.74011Bartels, Sören; Roubíček, Tomáš 10 2008 Finite element approximations of wave maps into spheres. Zbl 1160.65050Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 6 2008 A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038Bartels, Sören; Carstensen, Carsten 5 2008 Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068Bartels, Sören; Prohl, Andreas 4 2008 Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089Bartels, Sören; Prohl, Andreas 23 2007 A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 15 2007 Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011Bartels, Sören; Prohl, Andreas 3 2007 Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088Bartels, Sören; Prohl, Andreas 46 2006 P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112Bartels, S.; Carstensen, C.; Hecht, A. 4 2006 Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio 3 2006 Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014Bartels, Sören 32 2005 A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089Bartels, Sören 14 2005 Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052Bartels, Sören 13 2005 Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006Bartels, Sören 2 2005 Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050Bartels, S.; Carstensen, C. 40 2004 Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U. 35 2004 Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113Bartels, S.; Carstensen, C.; Dolzmann, G. 34 2004 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058Bartels, Sören 8 2004 Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A. 7 2004 Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044Bartels, Sören; Prohl, Andreas 6 2004 Linear-programming approach to nonconvex variational problems. Zbl 1063.65051Bartels, Sören; Roubíček, Tomáš 6 2004 Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069Bartels, Sören 6 2004 Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. Zbl 0997.65126Carstensen, Carsten; Bartels, Sören 75 2002 A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044Carstensen, Carsten; Bartels, Sören; Jansche, Stefan 49 2002 Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. II: Higher order FEM. Zbl 0997.65127Bartels, Sören; Carstensen, Carsten 19 2002 Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350Bartels, S. 1 2002 An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Zbl 0999.65117Carstensen, Carsten; Bartels, Sören; Klose, Roland 11 2001 Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science. Zbl 1015.74056Bartels, Sören; Carstensen, Carsten; Plecháč, Petr 1 2000 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year