Sören Bartels
According to our database1,
Sören Bartels
authored at least 76 papers
between 2001 and 2024.
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Bibliography
2024
CoRR, 2024
Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction.
CoRR, 2024
Necessary and Sufficient Conditions for Avoiding Babuska's Paradox on Simplicial Meshes.
CoRR, 2024
2023
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints.
SIAM J. Numer. Anal., August, 2023
Math. Comput., April, 2023
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries.
CoRR, 2023
Explicit a posteriori error representation for variational problems and application to TV-minimization.
CoRR, 2023
CoRR, 2023
2022
Error estimates for total-variation regularized minimization problems with singular dual solutions.
Numerische Mathematik, 2022
CoRR, 2022
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints.
CoRR, 2022
Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation.
Comput. Math. Appl., 2022
2021
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces.
Numerische Mathematik, 2021
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves.
Math. Comput., 2021
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations.
Math. Comput., 2021
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems.
CoRR, 2021
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods.
Comput. Math. Appl., 2021
2020
Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations.
SIAM J. Numer. Anal., 2020
Numerische Mathematik, 2020
Simulation of constrained elastic curves and application to a conical sheet indentation problem.
CoRR, 2020
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints.
CoRR, 2020
Parameter learning and fractional differential operators: application in image regularization and decomposition.
CoRR, 2020
Efficient iterative solution of finite element discretized nonsmooth minimization problems.
Comput. Math. Appl., 2020
2018
SIAM J. Numer. Anal., 2018
2017
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling.
Comput. Methods Appl. Math., 2017
2016
Projection-free approximation of geometrically constrained partial differential equations.
Math. Comput., 2016
Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems.
Comput. Methods Appl. Math., 2016
2015
Math. Comput., 2015
Error control and adaptivity for a variational model problem defined on functions of bounded variation.
Math. Comput., 2015
2014
Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions.
SIAM J. Numer. Anal., 2014
2013
SIAM J. Numer. Anal., 2013
Numerische Mathematik, 2013
2012
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation.
SIAM J. Numer. Anal., 2012
Total Variation Minimization with Finite Elements: Convergence and Iterative Solution.
SIAM J. Numer. Anal., 2012
2011
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., 2011
Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential.
Numerische Mathematik, 2011
Quasi-optimal and robust a posteriori error estimates in L<sup>∞</sup>(L<sup>2</sup>) for the approximation of Allen-Cahn equations past singularities.
Math. Comput., 2011
An Efficient Approach to the Numerical Solution of Rate-Independent Problems with Nonconvex Energies.
Multiscale Model. Simul., 2011
2010
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces.
Math. Comput., 2010
2009
Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity.
SIAM J. Numer. Anal., 2009
SIAM J. Numer. Anal., 2009
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers.
Math. Comput., 2009
2008
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation.
SIAM J. Numer. Anal., 2008
Convergence of an implicit, constraint preserving finite element discretization of <i>p</i>-harmonic heat flow into spheres.
Numerische Mathematik, 2008
Numerische Mathematik, 2008
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation.
Math. Comput., 2008
2007
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres.
SIAM J. Numer. Anal., 2007
Constraint preserving implicit finite element discretization of harmonic map flow into spheres.
Math. Comput., 2007
2006
Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation.
SIAM J. Numer. Anal., 2006
2005
SIAM J. Numer. Anal., 2005
SIAM J. Numer. Anal., 2005
Numerische Mathematik, 2005
2004
Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems.
SIAM J. Numer. Anal., 2004
Numerische Mathematik, 2004
Numerische Mathematik, 2004
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis.
Numerische Mathematik, 2004
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems.
Numerische Mathematik, 2004
2002
Numerische Mathematik, 2002
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., 2002
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM.
Math. Comput., 2002
2001
An experimental survey of a posteriori Courant finite element error control for the Poisson equation.
Adv. Comput. Math., 2001