An experimental survey of a posteriori Courant finite element error control for the Poisson equation. - Carsten Carstensen; Sören Bartels; Roland Klose (Adv. Comput. Math., 2001)

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. - Sören Bartels; Carsten Carstensen (Math. Comput., 2002)

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. - Carsten Carstensen; Sören Bartels (Math. Comput., 2002)

A posteriori error estimates for nonconforming finite element methods. - Carsten Carstensen; Sören Bartels; Stefan Jansche (Numerische Mathematik, 2002)

Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. - Sören Bartels; Carsten Carstensen (Numerische Mathematik, 2004)

Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. - Sören Bartels; Carsten Carstensen; Georg Dolzmann (Numerische Mathematik, 2004)

Multiscale resolution in the computation of crystalline microstructure. - Sören Bartels; Andreas Prohl (Numerische Mathematik, 2004)

Linear-programming approach to nonconvex variational problems. - Sören Bartels; Tomás Roubícek (Numerische Mathematik, 2004)

Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems. - Sören Bartels (SIAM J. Numer. Anal., 2004)

A posteriori error analysis for time-dependent Ginzburg-Landau type equations. - Sören Bartels (Numerische Mathematik, 2005)

Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps. - Sören Bartels (SIAM J. Numer. Anal., 2005)

Reliable and Efficient Approximation of Polyconvex Envelopes. - Sören Bartels (SIAM J. Numer. Anal., 2005)

Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. - Sören Bartels; Andreas Prohl (SIAM J. Numer. Anal., 2006)

Constraint preserving implicit finite element discretization of harmonic map flow into spheres. - Sören Bartels; Andreas Prohl (Math. Comput., 2007)

A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. - John W. Barrett 001; Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Finite Element Approximations of Wave Maps into Spheres. - Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. - Sören Bartels; Joy Ko; Andreas Prohl (Math. Comput., 2008)

A convergent adaptive finite element method for an optimal design problem. - Sören Bartels; Carsten Carstensen (Numerische Mathematik, 2008)

Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres. - Sören Bartels; Andreas Prohl (Numerische Mathematik, 2008)

A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. - Lubomír Bañas; Sören Bartels; Andreas Prohl (SIAM J. Numer. Anal., 2008)

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. - Sören Bartels; Christian Lubich; Andreas Prohl (Math. Comput., 2009)

Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces. - Sören Bartels (SIAM J. Numer. Anal., 2009)

Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity. - Sören Bartels; Max Jensen; Rüdiger Müller (SIAM J. Numer. Anal., 2009)

Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. - Sören Bartels (Math. Comput., 2010)

An Efficient Approach to the Numerical Solution of Rate-Independent Problems with Nonconvex Energies. - Sören Bartels; Martin Kruzík (Multiscale Model. Simul., 2011)

Quasi-optimal and robust a posteriori error estimates in L∞(L2) for the approximation of Allen-Cahn equations past singularities. - Sören Bartels; Rüdiger Müller (Math. Comput., 2011)

Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. - Sören Bartels; Rüdiger Müller (Numerische Mathematik, 2011)

Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes. - Sören Bartels; Rüdiger Müller; Christoph Ortner (SIAM J. Numer. Anal., 2011)

Total Variation Minimization with Finite Elements: Convergence and Iterative Solution. - Sören Bartels (SIAM J. Numer. Anal., 2012)

Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation. - Sören Bartels; Alexander Mielke; Tomás Roubícek (SIAM J. Numer. Anal., 2012)

Finite element approximation of large bending isometries. - Sören Bartels (Numerische Mathematik, 2013)

Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles. - Sören Bartels (SIAM J. Numer. Anal., 2013)

Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions. - Sören Bartels (SIAM J. Numer. Anal., 2014)

Discrete Total Variation Flows without Regularization. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (SIAM J. Numer. Anal., 2014)

Error control and adaptivity for a variational model problem defined on functions of bounded variation. - Sören Bartels (Math. Comput., 2015)

A total variation diminishing interpolation operator and applications. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (Math. Comput., 2015)

Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems. - Sören Bartels; Marijo Milicevic (Comput. Methods Appl. Math., 2016)

Projection-free approximation of geometrically constrained partial differential equations. - Sören Bartels (Math. Comput., 2016)

Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling. - Harbir Antil; Sören Bartels (Comput. Methods Appl. Math., 2017)

Numerical Solution of a Föppl-von Kármán Model. - Sören Bartels (SIAM J. Numer. Anal., 2017)

Modeling and simulation of thermally actuated bilayer plates. - Sören Bartels; Andrea Bonito; Anastasia Hanifah Muliana; Ricardo H. Nochetto (J. Comput. Phys., 2018)

Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. - Sören Bartels; Lars Diening; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2018)

Efficient iterative solution of finite element discretized nonsmooth minimization problems. - Sören Bartels; Marijo Milicevic (Comput. Math. Appl., 2020)

Parameter learning and fractional differential operators: application in image regularization and decomposition. - Sören Bartels; Nico Weber (CoRR, 2020)

Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints. - Sören Bartels; Christian Palus (CoRR, 2020)

Simulation of constrained elastic curves and application to a conical sheet indentation problem. - Sören Bartels (CoRR, 2020)

Numerical solution of a bending-torsion model for elastic rods. - Sören Bartels; Philipp Reiter (Numerische Mathematik, 2020)

Numerical Simulation of Inextensible Elastic Ribbons. - Sören Bartels (SIAM J. Numer. Anal., 2020)

Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations. - Sören Bartels; Michael Ruzicka (SIAM J. Numer. Anal., 2020)

Numerical Approximation of Optimal Convex Shapes. - Sören Bartels; Gerd Wachsmuth (SIAM J. Sci. Comput., 2020)

Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. - Sören Bartels (Comput. Math. Appl., 2021)

Approximation of fractional harmonic maps. - Harbir Antil; Sören Bartels; Armin Schikorra (CoRR, 2021)

Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. - Sören Bartels; Robert Tovey; Friedrich Wassmer (CoRR, 2021)

Modeling and simulation of thin sheet folding. - Sören Bartels; Andrea Bonito; Peter Hornung (CoRR, 2021)

Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. - Sören Bartels (Math. Comput., 2021)

Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. - Sören Bartels; Philipp Reiter (Math. Comput., 2021)

Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. - Sören Bartels; Zhangxian Wang (Numerische Mathematik, 2021)

Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. - Sören Bartels; Hedwig Keller; Gerd Wachsmuth (Comput. Math. Appl., 2022)

A nonlinear bending theory for nematic LCE plates. - Sören Bartels; Max Griehl; Stefan Neukamm; David Padilla-Garza; Christian Palus (CoRR, 2022)

Computing confined elasticae. - Sören Bartels; Pascal Weyer (CoRR, 2022)

Error Estimates For A Linear Folding Model. - Sören Bartels; Andrea Bonito; Philipp Tscherner (CoRR, 2022)

Modeling and simulation of nematic LCE rods. - Sören Bartels; Max Griehl; Jakob Keck; Stefan Neukamm (CoRR, 2022)

Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. - Sören Bartels; Balázs Kovács; Zhangxian Wang (CoRR, 2022)

Quasi-optimal error estimates for the approximation of stable harmonic maps. - Sören Bartels; Christian Palus; Zhangxian Wang (CoRR, 2022)

Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere. - Sören Bartels; Klaus Böhnlein; Christian Palus; Oliver Sander (CoRR, 2022)

Error estimates for total-variation regularized minimization problems with singular dual solutions. - Sören Bartels; Alex Kaltenbach (Numerische Mathematik, 2022)

Simulating Self-Avoiding Isometric Plate Bending. - Sören Bartels; Frank Meyer; Christian Palus (SIAM J. Sci. Comput., 2022)

Error analysis for a Crouzeix-Raviart approximation of the obstacle problem. - Sören Bartels; Alex Kaltenbach (CoRR, 2023)

Explicit a posteriori error representation for variational problems and application to TV-minimization. - Sören Bartels; Alex Kaltenbach (CoRR, 2023)

Numerical Approximation of Optimal Convex Shapes in R3. - Sören Bartels; Hedwig Keller; Gerd Wachsmuth (CoRR, 2023)

Explicit and efficient error estimation for convex minimization problems. - Sören Bartels; Alex Kaltenbach (Math. Comput., 2023)

Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints. - Sören Bartels; Christian Palus; Zhangxian Wang (SIAM J. Numer. Anal., 2023)

Necessary and Sufficient Conditions for Avoiding Babuska's Paradox on Simplicial Meshes. - Sören Bartels; Philipp Tscherner (CoRR, 2024)

Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction. - Sören Bartels; Alex Kaltenbach (CoRR, 2024)

A priori and a posteriori error identities for the scalar Signorini problem. - Sören Bartels; Thirupathi Gudi; Alex Kaltenbach (CoRR, 2024)

Optimization of an eigenvalue arising in optimal insulation with a lower bound. - Sören Bartels; Giuseppe Buttazzo; Hedwig Keller (CoRR, 2024)

Variational problems with gradient constraints: A priori and a posteriori error identities. - Harbir Antil; Sören Bartels; Alex Kaltenbach; Rohit Khandelwal (CoRR, 2024)

Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. - Georgios Akrivis; Sören Bartels; Christian Palus (Math. Comput., 2024)

Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates. - Sören Bartels; Bernd Schmidt 003; Philipp Tscherner (CoRR, 2025)

Babuška's paradox in a nonlinear bending model. - Sören Bartels; Andrea Bonito; Peter Hornung; Michael Neunteufel (CoRR, 2025)

Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves. - Sören Bartels; Klaus Deckelnick; Dominik Schneider (CoRR, 2025)

Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes. - Georgios Akrivis; Sören Bartels; Michele Ruggeri; Jilu Wang (CoRR, 2025)