Edit Profile (opens in new tab) Bartels, Sören Co-Author Distance Author ID: bartels.soren Published as: Bartels, Sören; Bartels, S. Homepage: http://aam.uni-freiburg.de/abtlg/ls/lsbartels External Links: MGP Documents Indexed: 115 Publications since 2000, including 3 Books and 11 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 62 Co-Authors with 85 Joint Publications 1,404 Co-Co-Authors all top 5 Co-Authors 30 single-authored 12 Carstensen, Carsten 11 Prohl, Andreas 7 Milicevic, Marijo 7 Nochetto, Ricardo Horacio 6 Müller, Rüdiger 6 Palus, Christian 5 Kaltenbach, Alex 5 Roubíček, Tomáš 4 Bonito, Andrea 3 Dolzmann, Georg 3 Feng, Xiaobing 3 Reiter, Philipp 3 Wachsmuth, Gerd 3 Wang, Zhangxian 2 Antil, Harbir 2 Griehl, Max 2 Hackl, Klaus 2 Hoppe, Ulrich 2 Hornung, Peter 2 Keck, Jakob 2 Keller, Hedwig 2 Neukamm, Stefan 2 Plecháč, Petr 2 Raisch, Alexander Helmut-Wilhelm 2 Salgado, Abner J. 2 Thomas, Marita 2 Tscherner, Philipp 2 Weber, Nico 1 Akrivis, Georgios D. 1 Baňas, Ľubomír 1 Barrett, John William 1 Bebendorf, Mario 1 Böhnlein, Klaus 1 Bratsch, Michael 1 Brenner, Susanne Cecelia 1 Conti, Sergio 1 Diening, Lars 1 Hecht, Axel 1 Hertzog, Stephan 1 Jansche, Stefan 1 Jensen, Max 1 Klose, Roland 1 Ko, Joy 1 Kovacs, Balazs A. 1 Kružík, Martin 1 Lubich, Christian 1 Meyer, Frank 1 Mielke, Alexander 1 Muliana, Anastasia Hanifah 1 Neilan, Michael 1 Orlando, Antonio 1 Ortner, Christoph 1 Padilla-Garza, David 1 Riege, Johannes 1 Růžička, Michael 1 Schikorra, Armin 1 Schön, Patrick 1 Schreier, Patrick 1 Tornquist, Sven 1 Tovey, Robert 1 Wassmer, Friedrich 1 Weyer, Pascal all top 5 Serials 20 SIAM Journal on Numerical Analysis 13 Mathematics of Computation 13 Numerische Mathematik 7 IMA Journal of Numerical Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Interfaces and Free Boundaries 3 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 SIAM Journal on Scientific Computing 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 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 Oberwolfach Reports 1 Springer Series in Computational Mathematics 1 Texts in Applied Mathematics 1 Mathematical Control and Related Fields 1 Springer-Lehrbuch 1 Advances in Continuous and Discrete Models all top 5 Fields 98 Numerical analysis (65-XX) 51 Partial differential equations (35-XX) 43 Mechanics of deformable solids (74-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-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 93 Publications have been cited 1,290 times in 778 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 80 2002 Numerical methods for nonlinear partial differential equations. Zbl 1314.65003 Bartels, Sören 71 2015 Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088 Bartels, Sören; Prohl, Andreas 61 2006 A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044 Carstensen, Carsten; Bartels, Sören; Jansche, Stefan 59 2002 Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050 Bartels, S.; Carstensen, C. 45 2004 Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113 Bartels, S.; Carstensen, C.; Dolzmann, G. 43 2004 Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501 Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U. 42 2004 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222 Antil, Harbir; Bartels, Sören 39 2017 Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014 Bartels, Sören 38 2005 Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067 Bartels, Sören 37 2012 Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037 Bartels, Sören; Roubíček, Tomáš 27 2011 Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043 Bartels, Sören; Ko, Joy; Prohl, Andreas 26 2008 Numerical approximation of partial differential equations. Zbl 1353.65089 Bartels, Sören 26 2016 Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089 Bartels, Sören; Prohl, Andreas 25 2007 A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321 Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas 25 2008 Discrete total variation flows without regularization. Zbl 1292.65106 Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 25 2014 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 24 2011 Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105 Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş 24 2012 Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154 Bartels, Sören; Jensen, Max; Müller, Rüdiger 24 2009 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 22 2002 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029 Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 22 2017 Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151 Bartels, Sören 21 2010 Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098 Bartels, Sören 19 2013 A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089 Bartels, Sören 17 2005 Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141 Bartels, Sören 17 2015 Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052 Bartels, Sören 16 2005 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 15 2007 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 15 2011 A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121 Bartels, Sören 15 2013 Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075 Bartels, Sören; Müller, Rüdiger 14 2011 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098 Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 14 2018 A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128 Bartels, Sören; Reiter, Philipp; Riege, Johannes 14 2018 An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Zbl 0999.65117 Carstensen, Carsten; Bartels, Sören; Klose, Roland 13 2001 A total variation diminishing interpolation operator and applications. Zbl 1321.65017 Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 13 2015 Thermoviscoplasticity at small strains. Zbl 1153.74011 Bartels, Sören; Roubíček, Tomáš 12 2008 Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178 Bartels, Sören; Lubich, Christian; Prohl, Andreas 12 2009 A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244 Bartels, Sören; Müller, Rüdiger 11 2010 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058 Bartels, Sören 11 2004 Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 1524.65751 Bartels, Sören 11 2021 Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016 Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H. 10 2018 Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161 Bartels, Sören 9 2016 Bending paper and the Möbius strip. Zbl 1464.74025 Bartels, Sören; Hornung, Peter 9 2015 Finite element approximation of large bending isometries. Zbl 1267.74109 Bartels, Sören 9 2013 Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010 Bartels, Sören 9 2016 Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161 Bartels, Sören; Reiter, Philipp 9 2021 A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038 Bartels, Sören; Carstensen, Carsten 8 2008 Finite element approximations of wave maps into spheres. Zbl 1160.65050 Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 8 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 8 2014 Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152 Bartels, Sören; Milicevic, Marijo 8 2016 Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017 Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A. 7 2004 P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112 Bartels, S.; Carstensen, C.; Hecht, A. 7 2006 Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153 Bartels, Sören; Reiter, Philipp 7 2020 Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255 Bartels, Sören 7 2020 Numerical approximation of optimal convex shapes. Zbl 1440.49036 Bartels, Sören; Wachsmuth, Gerd 7 2020 Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100 Bartels, Sören; Schön, Patrick 6 2017 Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044 Bartels, Sören; Prohl, Andreas 6 2004 Linear-programming approach to nonconvex variational problems. Zbl 1063.65051 Bartels, Sören; Roubíček, Tomáš 6 2004 Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069 Bartels, Sören 6 2004 Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021 Bartels, Sören; Roubíček, Tomáš 6 2013 Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264 Bartels, Sören 6 2009 An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020 Bartels, Sören; Kružík, Martin 5 2011 Finite element methods for director fields on flexible surfaces. Zbl 1300.35060 Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander 5 2012 Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095 Bartels, Sören 5 2014 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 5 2006 A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210 Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. 4 2010 Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178 Bartels, Sören; Milicevic, Marijo 4 2017 Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068 Bartels, Sören; Prohl, Andreas 4 2008 Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068 Bartels, Sören; Růžička, Michael 4 2020 Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011 Bartels, Sören; Prohl, Andreas 3 2007 Fast and accurate finite element approximation of wave maps into spheres. Zbl 1316.65085 Bartels, Sören 3 2015 Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097 Bartels, Sören 3 2017 Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003 Bartels, Sören 3 2020 Approximation of fractional harmonic maps. Zbl 07726034 Antil, Harbir; Bartels, Sören; Schikorra, Armin 3 2023 Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906 Bartels, Sören; Milicevic, Marijo 3 2020 Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111 Bartels, Sören; Wang, Zhangxian 3 2021 Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. Zbl 1491.65124 Bartels, Sören 3 2021 Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints. Zbl 1517.65082 Bartels, Sören; Palus, Christian 3 2022 Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization. Zbl 1407.49048 Bartels, Sören; Milicevic, Marijo; Thomas, Marita 3 2018 Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440 Bartels, Sören 2 2009 Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006 Bartels, Sören 2 2005 Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221 Bartels, Sören; Schreier, Patrick 2 2012 A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044 Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian 2 2023 Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 1502.65187 Bartels, Sören; Tovey, Robert; Wassmer, Friedrich 2 2022 Modeling and simulation of thin sheet folding. Zbl 1515.74047 Bartels, Sören; Bonito, Andrea; Hornung, Peter 2 2022 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358 Bartels, Sören; Buttazzo, Giuseppe 2 2019 Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350 Bartels, S. 1 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 1 2000 A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017 Bartels, Sören; Bebendorf, Mario; Bratsch, Michael 1 2014 Numerics \(3\times 9\). Three topics in nine short chapters respectively. (Numerik \(3\times 9\). Drei Themengebiete in jeweils neun kurzen Kapiteln.) Zbl 1336.65001 Bartels, Sören 1 2016 A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099 Bartels, Sören 1 2016 Efficient iterative solution of finite element discretized nonsmooth minimization problems. Zbl 1447.65127 Bartels, Sören; Milicevic, Marijo 1 2020 Error estimates for total-variation regularized minimization problems with singular dual solutions. Zbl 07621779 Bartels, Sören; Kaltenbach, Alex 1 2022 Explicit and efficient error estimation for convex minimization problems. Zbl 07689730 Bartels, Sören; Kaltenbach, Alex 1 2023 Approximation of fractional harmonic maps. Zbl 07726034 Antil, Harbir; Bartels, Sören; Schikorra, Armin 3 2023 A nonlinear bending theory for nematic LCE plates. Zbl 1519.74044 Bartels, Sören; Griehl, Max; Neukamm, Stefan; Padilla-Garza, David; Palus, Christian 2 2023 Explicit and efficient error estimation for convex minimization problems. Zbl 07689730 Bartels, Sören; Kaltenbach, Alex 1 2023 Stable gradient flow discretizations for simulating bilayer plate bending with isometry and obstacle constraints. Zbl 1517.65082 Bartels, Sören; Palus, Christian 3 2022 Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 1502.65187 Bartels, Sören; Tovey, Robert; Wassmer, Friedrich 2 2022 Modeling and simulation of thin sheet folding. Zbl 1515.74047 Bartels, Sören; Bonito, Andrea; Hornung, Peter 2 2022 Error estimates for total-variation regularized minimization problems with singular dual solutions. Zbl 07621779 Bartels, Sören; Kaltenbach, Alex 1 2022 Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 1524.65751 Bartels, Sören 11 2021 Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Zbl 1476.65161 Bartels, Sören; Reiter, Philipp 9 2021 Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111 Bartels, Sören; Wang, Zhangxian 3 2021 Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. Zbl 1491.65124 Bartels, Sören 3 2021 Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153 Bartels, Sören; Reiter, Philipp 7 2020 Finite element simulation of nonlinear bending models for thin elastic rods and plates. Zbl 1455.35255 Bartels, Sören 7 2020 Numerical approximation of optimal convex shapes. Zbl 1440.49036 Bartels, Sören; Wachsmuth, Gerd 7 2020 Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068 Bartels, Sören; Růžička, Michael 4 2020 Numerical simulation of inextensible elastic ribbons. Zbl 1453.74003 Bartels, Sören 3 2020 Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906 Bartels, Sören; Milicevic, Marijo 3 2020 Efficient iterative solution of finite element discretized nonsmooth minimization problems. Zbl 1447.65127 Bartels, Sören; Milicevic, Marijo 1 2020 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358 Bartels, Sören; Buttazzo, Giuseppe 2 2019 Unconditional stability of semi-implicit discretizations of singular flows. Zbl 1394.65098 Bartels, Sören; Diening, Lars; Nochetto, Ricardo H. 14 2018 A simple scheme for the approximation of self-avoiding inextensible curves. Zbl 1403.65128 Bartels, Sören; Reiter, Philipp; Riege, Johannes 14 2018 Modeling and simulation of thermally actuated bilayer plates. Zbl 1380.74016 Bartels, Sören; Bonito, Andrea; Muliana, Anastasia H.; Nochetto, Ricardo H. 10 2018 Numerical approach to a model for quasistatic damage with spatial \(BV\)-regularization. Zbl 1407.49048 Bartels, Sören; Milicevic, Marijo; Thomas, Marita 3 2018 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222 Antil, Harbir; Bartels, Sören 39 2017 Bilayer plates: model reduction, \(\gamma\)-convergent finite element approximation, and discrete gradient flow. Zbl 1357.74029 Bartels, Sören; Bonito, Andrea; Nochetto, Ricardo H. 22 2017 Adaptive approximation of the Monge-Kantorovich problem via primal-dual gap estimates. Zbl 1396.65100 Bartels, Sören; Schön, Patrick 6 2017 Iterative finite element solution of a constrained total variation regularized model problem. Zbl 1365.65178 Bartels, Sören; Milicevic, Marijo 4 2017 Numerical solution of a Föppl-von Kármán model. Zbl 1403.74097 Bartels, Sören 3 2017 Numerical approximation of partial differential equations. Zbl 1353.65089 Bartels, Sören 26 2016 Projection-free approximation of geometrically constrained partial differential equations. Zbl 1332.65161 Bartels, Sören 9 2016 Broken Sobolev space iteration for total variation regularized minimization problems. Zbl 1433.94010 Bartels, Sören 9 2016 Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. Zbl 1342.65152 Bartels, Sören; Milicevic, Marijo 8 2016 Numerics \(3\times 9\). Three topics in nine short chapters respectively. (Numerik \(3\times 9\). Drei Themengebiete in jeweils neun kurzen Kapiteln.) Zbl 1336.65001 Bartels, Sören 1 2016 A simple scheme for the approximation of elastic vibrations of inextensible curves. Zbl 1433.74099 Bartels, Sören 1 2016 Numerical methods for nonlinear partial differential equations. Zbl 1314.65003 Bartels, Sören 71 2015 Error control and adaptivity for a variational model problem defined on functions of bounded variation. Zbl 1311.65141 Bartels, Sören 17 2015 A total variation diminishing interpolation operator and applications. Zbl 1321.65017 Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 13 2015 Bending paper and the Möbius strip. Zbl 1464.74025 Bartels, Sören; Hornung, Peter 9 2015 Fast and accurate finite element approximation of wave maps into spheres. Zbl 1316.65085 Bartels, Sören 3 2015 Discrete total variation flows without regularization. Zbl 1292.65106 Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. 25 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 8 2014 Quasi-optimal error estimates for implicit discretizations of rate-independent evolutions. Zbl 1457.65095 Bartels, Sören 5 2014 A fast and accurate numerical method for the computation of unstable micromagnetic configurations. Zbl 1321.78017 Bartels, Sören; Bebendorf, Mario; Bratsch, Michael 1 2014 Approximation of large bending isometries with discrete Kirchhoff triangles. Zbl 1338.74098 Bartels, Sören 19 2013 A simple scheme for the approximation of the elastic flow of inextensible curves. Zbl 1298.65121 Bartels, Sören 15 2013 Finite element approximation of large bending isometries. Zbl 1267.74109 Bartels, Sören 9 2013 Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021 Bartels, Sören; Roubíček, Tomáš 6 2013 Total variation minimization with finite elements: convergence and iterative solution. Zbl 1257.65067 Bartels, Sören 37 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 24 2012 Finite element methods for director fields on flexible surfaces. Zbl 1300.35060 Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H.; Raisch, Alexander 5 2012 Local coarsening of simplicial finite element meshes generated by bisections. Zbl 1255.65221 Bartels, Sören; Schreier, Patrick 2 2012 Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037 Bartels, Sören; Roubíček, Tomáš 27 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 24 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 15 2011 Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Zbl 1241.65075 Bartels, Sören; Müller, Rüdiger 14 2011 An efficient approach to the numerical solution of rate-independent problems with nonconvex energies. Zbl 1246.49020 Bartels, Sören; Kružík, Martin 5 2011 Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Zbl 1211.65151 Bartels, Sören 21 2010 A posteriori error controlled local resolution of evolving interfaces for generalized Cahn-Hilliard equations. Zbl 1404.65244 Bartels, Sören; Müller, Rüdiger 11 2010 A finite element scheme for the evolution of orientational order in fluid membranes. Zbl 1423.76210 Bartels, Sören; Dolzmann, Georg; Nochetto, Ricardo H. 4 2010 Discontinuous Galerkin finite element convergence for incompressible miscible displacement problems of low regularity. Zbl 1410.76154 Bartels, Sören; Jensen, Max; Müller, Rüdiger 24 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 12 2009 Semi-implicit approximation of wave maps into smooth or convex surfaces. Zbl 1205.65264 Bartels, Sören 6 2009 Combination of global and local approximation schemes for harmonic maps into spheres. Zbl 1212.65440 Bartels, Sören 2 2009 Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043 Bartels, Sören; Ko, Joy; Prohl, Andreas 26 2008 A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321 Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas 25 2008 Thermoviscoplasticity at small strains. Zbl 1153.74011 Bartels, Sören; Roubíček, Tomáš 12 2008 A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038 Bartels, Sören; Carstensen, Carsten 8 2008 Finite element approximations of wave maps into spheres. Zbl 1160.65050 Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 8 2008 Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068 Bartels, Sören; Prohl, Andreas 4 2008 Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089 Bartels, Sören; Prohl, Andreas 25 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 15 2007 Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011 Bartels, Sören; Prohl, Andreas 3 2007 Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088 Bartels, Sören; Prohl, Andreas 61 2006 P2Q2Iso2D=2D isoparametric FEM in Matlab. Zbl 1091.65112 Bartels, S.; Carstensen, C.; Hecht, A. 7 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 5 2006 Stability and convergence of finite-element approximation schemes for harmonic maps. Zbl 1090.35014 Bartels, Sören 38 2005 A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Zbl 1073.65089 Bartels, Sören 17 2005 Reliable and efficient approximation of polyconvex envelopes. Zbl 1089.65052 Bartels, Sören 16 2005 Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices. Zbl 1078.35006 Bartels, Sören 2 2005 Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050 Bartels, S.; Carstensen, C. 45 2004 Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113 Bartels, S.; Carstensen, C.; Dolzmann, G. 43 2004 Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501 Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U. 42 2004 Linear convergence in the approximation of rank-one convex envelopes. Zbl 1083.65058 Bartels, Sören 11 2004 Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017 Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A. 7 2004 Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044 Bartels, Sören; Prohl, Andreas 6 2004 Linear-programming approach to nonconvex variational problems. Zbl 1063.65051 Bartels, Sören; Roubíček, Tomáš 6 2004 Adaptive approximation of Young measure solutions in scalar nonconvex variational problems. Zbl 1077.65069 Bartels, 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 0997.65126 Carstensen, Carsten; Bartels, Sören 80 2002 A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044 Carstensen, Carsten; Bartels, Sören; Jansche, Stefan 59 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 22 2002 Error estimates for the adaptive computation of a scalar three well problem. Zbl 1422.65350 Bartels, S. 1 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 13 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 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 1,046 Authors 60 Bartels, Sören 48 Carstensen, Carsten 23 Praetorius, Dirk 21 Nochetto, Ricardo Horacio 18 Antil, Harbir 14 Roubíček, Tomáš 12 Hoppe, Ronald H. W. 11 Hornung, Peter 11 Huang, Yunqing 11 Ruggeri, Michele 10 Dolzmann, Georg 10 Hackl, Klaus 10 Walker, Shawn W. 9 Bonito, Andrea 9 Feischl, Michael 9 Merdon, Christian 9 Mielke, Alexander 8 Baňas, Ľubomír 8 Chen, Jingrun 8 Herzog, Roland 8 Kaltenbach, Alex 8 Kochmann, Dennis M. 8 Porwal, Kamana 8 Prohl, Andreas 8 Repin, Sergeĭ Igorevich 8 Růžička, Michael 8 Sander, Oliver 7 Conti, Sergio 7 Gudi, Thirupathi 7 Hu, Jun 7 Kovacs, Balazs A. 7 Meyer, Christian 7 Shi, Zhongci 7 Yi, Nianyu 6 Cai, Zhiqiang 6 Georgoulis, Emmanuil H. 6 Page, Marcus 6 Reiter, Philipp 6 Rossi, Riccarda 6 Schroder, Andreas 6 Tilioua, Mouhcine 6 Warma, Mahamadi 6 Zhang, Shun 5 Banz, Lothar 5 Du, Qiang 5 Du, Shaohong 5 Dubey, Shruti A. 5 Dwivedi, Sharad 5 Eigel, Martin 5 Freddi, Lorenzo 5 Garcke, Harald 5 Guo, Hui 5 Hintermüller, Michael 5 Milicevic, Marijo 5 Mora, Maria Giovanna 5 Owczarek, Sebastian 5 Paroni, Roberto 5 Pfeiler, Carl-Martin 5 Salgado, Abner J. 5 Valdman, Jan 5 Veeser, Andreas 5 Wang, Cheng 5 Yang, Yang 4 Cangiani, Andrea 4 Chen, Yaoyao 4 Davoli, Elisa 4 Di Fratta, Giovanni 4 Du, Rui 4 Führer, Thomas 4 Guo, Hailong 4 Hardering, Hanne 4 Kružík, Martin 4 Le, Kim-Ngan 4 Li, Buyang 4 Li, Jizhou 4 Neff, Patrizio 4 Rademacher, Andreas 4 Rautenberg, Carlos N. 4 Rivière, Beatrice M. 4 Schmidt, Stephan 4 Stenberg, Rolf 4 Stiftner, Bernhard 4 Thomas, Marita 4 van der Zee, Kristoffer George 4 Wachsmuth, Gerd 4 Xie, Changjian 4 Yang, Wei 4 Yang, Ying 4 Zhang, Zhimin 4 Zhou, Aihui 4 Zou, Qingsong 3 Achchab, Boujemaa 3 Agostiniani, Virginia 3 Ainsworth, Mark 3 Alouges, François 3 An, Rong 3 Bartel, Thorsten 3 Beirão da Veiga, Lourenço 3 Benešová, Barbora 3 Borthagaray, Juan Pablo ...and 946 more Authors all top 5 Cited in 169 Serials 60 Numerische Mathematik 36 SIAM Journal on Numerical Analysis 35 Mathematics of Computation 33 Computer Methods in Applied Mechanics and Engineering 30 Journal of Scientific Computing 27 Computers & Mathematics with Applications 26 Journal of Computational Physics 26 Journal of Computational and Applied Mathematics 20 Applied Numerical Mathematics 20 SIAM Journal on Scientific Computing 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Numerical Methods for Partial Differential Equations 18 M\(^3\)AS. 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ESAIM, European Series in Applied and Industrial Mathematics 3 Archives of Computational Methods in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 Science China. Mathematics 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Numerical Algorithms 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 SIAM Journal on Optimization 2 Computational and Applied Mathematics 2 Journal of Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Boundary Value Problems 2 Advances in Applied Mathematics and Mechanics 2 Afrika Matematika 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Evolution Equations and Control Theory 2 SIAM/ASA Journal on Uncertainty Quantification 2 AIMS Mathematics 2 Advances in Continuous and Discrete Models 1 Acta Mechanica 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Plasticity 1 Journal of Mathematical Biology 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Canadian Journal of Mathematics 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 Mathematische Annalen 1 Mathematische Nachrichten 1 Mechanics Research Communications ...and 69 more Serials all top 5 Cited in 38 Fields 545 Numerical analysis (65-XX) 407 Partial differential equations (35-XX) 209 Mechanics of deformable solids (74-XX) 153 Calculus of variations and optimal control; optimization (49-XX) 72 Fluid mechanics (76-XX) 58 Optics, electromagnetic theory (78-XX) 52 Statistical mechanics, structure of matter (82-XX) 24 Differential geometry (53-XX) 23 Information and communication theory, circuits (94-XX) 22 Operations research, mathematical programming (90-XX) 18 Probability theory and stochastic processes (60-XX) 18 Computer science (68-XX) 17 Real functions (26-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 9 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 5 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) Citations by Year