Sören Bartels

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 49

Top Topics

Error Estimates

Experimental Comparison

Rotationally Symmetric

Top Venues

SIAM J. Numer. Anal.

Comput. Math. Appl.

Publications

Sören Bartels, Philipp Tscherner
Necessary and Sufficient Conditions for Avoiding Babuska's Paradox on Simplicial Meshes. CoRR (2024)
Sören Bartels, Thirupathi Gudi, Alex Kaltenbach
A priori and a posteriori error identities for the scalar Signorini problem. CoRR (2024)
Sören Bartels, Alex Kaltenbach
Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction. CoRR (2024)
Sören Bartels, Hedwig Keller, Gerd Wachsmuth
. CoRR (2023)
Sören Bartels, Alex Kaltenbach
Explicit and efficient error estimation for convex minimization problems. Math. Comput. 92 (343) (2023)
Sören Bartels, Alex Kaltenbach
Explicit a posteriori error representation for variational problems and application to TV-minimization. CoRR (2023)
Sören Bartels, Alex Kaltenbach
Error analysis for a Crouzeix-Raviart approximation of the obstacle problem. CoRR (2023)
Sören Bartels, Christian Palus, Zhangxian Wang
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints. SIAM J. Numer. Anal. 61 (4) (2023)
Georgios Akrivis, Sören Bartels, Christian Palus
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. CoRR (2023)
Sören Bartels, Hedwig Keller, Gerd Wachsmuth
Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. Comput. Math. Appl. 119 (2022)
Sören Bartels, Klaus Böhnlein, Christian Palus, Oliver Sander
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere. CoRR (2022)
Sören Bartels, Alex Kaltenbach
Explicit and efficient error estimation for convex minimization problems. CoRR (2022)
Sören Bartels, Balázs Kovács, Zhangxian Wang
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. CoRR (2022)
Sören Bartels, Pascal Weyer
Computing confined elasticae. CoRR (2022)
Sören Bartels, Frank Meyer, Christian Palus
Simulating Self-Avoiding Isometric Plate Bending. SIAM J. Sci. Comput. 44 (3) (2022)
Alex Kaltenbach, Sören Bartels
Error estimates for total-variation regularized minimization problems with singular dual solutions. CoRR (2022)
Sören Bartels, Andrea Bonito, Philipp Tscherner
Error Estimates For A Linear Folding Model. CoRR (2022)
Sören Bartels, Christian Palus, Zhangxian Wang
Quasi-optimal error estimates for the approximation of stable harmonic maps. CoRR (2022)
Sören Bartels, Alex Kaltenbach
Error estimates for total-variation regularized minimization problems with singular dual solutions. Numerische Mathematik 152 (4) (2022)
Sören Bartels, Max Griehl, Jakob Keck, Stefan Neukamm
Modeling and simulation of nematic LCE rods. CoRR (2022)
Sören Bartels, Max Griehl, Stefan Neukamm, David Padilla-Garza, Christian Palus
A nonlinear bending theory for nematic LCE plates. CoRR (2022)
Sören Bartels, Philipp Reiter
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Math. Comput. 90 (330) (2021)
Sören Bartels, Robert Tovey, Friedrich Wassmer
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. CoRR (2021)
Sören Bartels
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. Math. Comput. 90 (332) (2021)
Sören Bartels
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Comput. Math. Appl. 93 (2021)
Sören Bartels, Zhangxian Wang
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Numerische Mathematik 148 (1) (2021)
Hedwig Keller, Sören Bartels, Gerd Wachsmuth
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation. CoRR (2021)
Sören Bartels, Frank Meyer, Christian Palus
Simulating Self-Avoiding Isometric Plate Bending. CoRR (2021)
Harbir Antil, Sören Bartels, Armin Schikorra
Approximation of fractional harmonic maps. CoRR (2021)
Sören Bartels, Andrea Bonito, Peter Hornung
Modeling and simulation of thin sheet folding. CoRR (2021)
Sören Bartels
Simulation of constrained elastic curves and application to a conical sheet indentation problem. CoRR (2020)
Sören Bartels
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. CoRR (2020)
Sören Bartels, Christian Palus
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints. CoRR (2020)
Sören Bartels, Marijo Milicevic
Efficient iterative solution of finite element discretized nonsmooth minimization problems. Comput. Math. Appl. 80 (5) (2020)
Sören Bartels, Nico Weber
Parameter learning and fractional differential operators: application in image regularization and decomposition. CoRR (2020)
Sören Bartels, Zhangxian Wang
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. CoRR (2020)
Sören Bartels
Numerical Simulation of Inextensible Elastic Ribbons. SIAM J. Numer. Anal. 58 (6) (2020)
Sören Bartels
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. CoRR (2020)
Sören Bartels, Philipp Reiter
Numerical solution of a bending-torsion model for elastic rods. Numerische Mathematik 146 (4) (2020)
Sören Bartels, Gerd Wachsmuth
Numerical Approximation of Optimal Convex Shapes. SIAM J. Sci. Comput. 42 (2) (2020)
Sören Bartels, Michael Ruzicka
Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations. SIAM J. Numer. Anal. 58 (1) (2020)
Sören Bartels
Numerical simulation of inextensible elastic ribbons. CoRR (2019)
Sören Bartels, Philipp Reiter
Numerical solution of a bending-torsion model for elastic rods. CoRR (2019)
Sören Bartels, Andrea Bonito, Anastasia H. Muliana, Ricardo H. Nochetto
Modeling and simulation of thermally actuated bilayer plates. J. Comput. Phys. 354 (2018)
Sören Bartels, Lars Diening, Ricardo H. Nochetto
Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM J. Numer. Anal. 56 (3) (2018)
Harbir Antil, Sören Bartels
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling. Comput. Methods Appl. Math. 17 (4) (2017)
Sören Bartels
Numerical Solution of a Föppl-von Kármán Model. SIAM J. Numer. Anal. 55 (3) (2017)
Sören Bartels
Projection-free approximation of geometrically constrained partial differential equations. Math. Comput. 85 (299) (2016)
Sören Bartels, Marijo Milicevic
Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems. Comput. Methods Appl. Math. 16 (3) (2016)
Sören Bartels
Error control and adaptivity for a variational model problem defined on functions of bounded variation. Math. Comput. 84 (293) (2015)
Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
A total variation diminishing interpolation operator and applications. Math. Comput. 84 (296) (2015)
Sören Bartels
Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions. SIAM J. Numer. Anal. 52 (2) (2014)
Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. 52 (1) (2014)
Sören Bartels
Finite element approximation of large bending isometries. Numerische Mathematik 124 (3) (2013)
Sören Bartels
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles. SIAM J. Numer. Anal. 51 (1) (2013)
Sören Bartels, Alexander Mielke, Tomás Roubícek
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation. SIAM J. Numer. Anal. 50 (2) (2012)
Sören Bartels
Total Variation Minimization with Finite Elements: Convergence and Iterative Solution. SIAM J. Numer. Anal. 50 (3) (2012)
Sören Bartels, Martin Kruzík
An Efficient Approach to the Numerical Solution of Rate-Independent Problems with Nonconvex Energies. Multiscale Model. Simul. 9 (3) (2011)
Sören Bartels, Rüdiger Müller, Christoph Ortner
Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes. SIAM J. Numer. Anal. 49 (1) (2011)
Sören Bartels, Rüdiger Müller
Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Numerische Mathematik 119 (3) (2011)
Sören Bartels, Rüdiger Müller
) for the approximation of Allen-Cahn equations past singularities. Math. Comput. 80 (274) (2011)
Sören Bartels
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Math. Comput. 79 (271) (2010)
Sören Bartels
Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces. SIAM J. Numer. Anal. 47 (5) (2009)
Sören Bartels, Max Jensen, Rüdiger Müller
Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity. SIAM J. Numer. Anal. 47 (5) (2009)
Sören Bartels, Christian Lubich, Andreas Prohl
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Math. Comput. 78 (267) (2009)
Sören Bartels, Andreas Prohl
-harmonic heat flow into spheres. Numerische Mathematik 109 (4) (2008)
Sören Bartels, Joy Ko, Andreas Prohl
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Math. Comput. 77 (262) (2008)
Lubomír Bañas, Sören Bartels, Andreas Prohl
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 46 (3) (2008)
Sören Bartels, Carsten Carstensen
A convergent adaptive finite element method for an optimal design problem. Numerische Mathematik 108 (3) (2008)
Sören Bartels, Andreas Prohl
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Math. Comput. 76 (260) (2007)
John W. Barrett, Sören Bartels, Xiaobing Feng, Andreas Prohl
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. SIAM J. Numer. Anal. 45 (3) (2007)
Sören Bartels, Xiaobing Feng, Andreas Prohl
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46 (1) (2007)
Sören Bartels, Andreas Prohl
Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 44 (4) (2006)
Sören Bartels
Reliable and Efficient Approximation of Polyconvex Envelopes. SIAM J. Numer. Anal. 43 (1) (2005)
Sören Bartels
A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Numerische Mathematik 99 (4) (2005)
Sören Bartels
Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps. SIAM J. Numer. Anal. 43 (1) (2005)
Sören Bartels, Andreas Prohl
Multiscale resolution in the computation of crystalline microstructure. Numerische Mathematik 96 (4) (2004)
Sören Bartels, Carsten Carstensen
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Numerische Mathematik 99 (2) (2004)
Sören Bartels, Carsten Carstensen, Georg Dolzmann
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Numerische Mathematik 99 (1) (2004)
Sören Bartels, Tomás Roubícek
Linear-programming approach to nonconvex variational problems. Numerische Mathematik 99 (2) (2004)
Sören Bartels
Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems. SIAM J. Numer. Anal. 42 (2) (2004)
Sören Bartels, Carsten Carstensen
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. Math. Comput. 71 (239) (2002)
Carsten Carstensen, Sören Bartels
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. Math. Comput. 71 (239) (2002)
Carsten Carstensen, Sören Bartels, Stefan Jansche
A posteriori error estimates for nonconforming finite element methods. Numerische Mathematik 92 (2) (2002)
Carsten Carstensen, Sören Bartels, Roland Klose
An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Adv. Comput. Math. 15 (1-4) (2001)