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Author ID: bartels.soren Recent zbMATH articles by "Bartels, Sören"
Published as: Bartels, Sören; Bartels, S.
Homepage: http://aam.uni-freiburg.de/abtlg/ls/lsbartels
External Links: MGP

Publications by Year

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 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. Mathematical Models & Methods in Applied Sciences
16 Computational Methods in Applied Mathematics
12 Inverse Problems
9 SIAM Journal on Control and Optimization
9 SIAM Journal on Mathematical Analysis
9 Nonlinear Analysis. Real World Applications
9 Discrete and Continuous Dynamical Systems. Series S
8 Journal of Nonlinear Science
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Mathematical Methods in the Applied Sciences
7 Calculus of Variations and Partial Differential Equations
7 Advances in Computational Mathematics
7 Interfaces and Free Boundaries
7 SIAM Journal on Imaging Sciences
7 Mathematical Control and Related Fields
6 Journal of Mathematical Imaging and Vision
6 Continuum Mechanics and Thermodynamics
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 GAMM-Mitteilungen
5 Applied Mathematics and Computation
5 Computational Mechanics
5 Journal of Numerical Mathematics
5 Oberwolfach Reports
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 BIT
4 International Journal for Numerical Methods in Engineering
4 Journal of Differential Equations
4 Mathematics and Computers in Simulation
4 Applied Mathematics Letters
4 Journal of Elasticity
4 Mathematics and Mechanics of Solids
4 Foundations of Computational Mathematics
4 Communications in Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Meccanica
3 Computational Optimization and Applications
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 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