Sören Bartels

According to our database1, Sören Bartels authored at least 76 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
A priori and a posteriori error identities for the scalar Signorini problem.
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

Explicit and efficient error estimation for convex minimization problems.
Math. Comput., April, 2023

Numerical Approximation of Optimal Convex Shapes in R<sup>3</sup>.
CoRR, 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

Error analysis for a Crouzeix-Raviart approximation of the obstacle problem.
CoRR, 2023

2022
Simulating Self-Avoiding Isometric Plate Bending.
SIAM J. Sci. Comput., 2022

Error estimates for total-variation regularized minimization problems with singular dual solutions.
Numerische Mathematik, 2022

Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere.
CoRR, 2022

Quasi-optimal error estimates for the approximation of stable harmonic maps.
CoRR, 2022

Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints.
CoRR, 2022

Modeling and simulation of nematic LCE rods.
CoRR, 2022

Error Estimates For A Linear Folding Model.
CoRR, 2022

Computing confined elasticae.
CoRR, 2022

A nonlinear bending theory for nematic LCE plates.
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

Modeling and simulation of thin sheet folding.
CoRR, 2021

Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems.
CoRR, 2021

Approximation of fractional harmonic maps.
CoRR, 2021

Nonconforming discretizations of convex minimization problems and precise relations to mixed methods.
Comput. Math. Appl., 2021

2020
Numerical Approximation of Optimal Convex Shapes.
SIAM J. Sci. Comput., 2020

Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations.
SIAM J. Numer. Anal., 2020

Numerical Simulation of Inextensible Elastic Ribbons.
SIAM J. Numer. Anal., 2020

Numerical solution of a bending-torsion model for elastic rods.
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
Unconditional Stability of Semi-Implicit Discretizations of Singular Flows.
SIAM J. Numer. Anal., 2018

Modeling and simulation of thermally actuated bilayer plates.
J. Comput. Phys., 2018

2017
Numerical Solution of a Föppl-von Kármán Model.
SIAM J. Numer. Anal., 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
A total variation diminishing interpolation operator and applications.
Math. Comput., 2015

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

2014
Discrete Total Variation Flows without Regularization.
SIAM J. Numer. Anal., 2014

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

2013
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles.
SIAM J. Numer. Anal., 2013

Finite element approximation of large bending isometries.
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

Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces.
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

A convergent adaptive finite element method for an optimal design problem.
Numerische Mathematik, 2008

Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation.
Math. Comput., 2008

2007
Finite Element Approximations of Wave Maps into Spheres.
SIAM J. Numer. Anal., 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
Reliable and Efficient Approximation of Polyconvex Envelopes.
SIAM J. Numer. Anal., 2005

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

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

2004
Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems.
SIAM J. Numer. Anal., 2004

Linear-programming approach to nonconvex variational problems.
Numerische Mathematik, 2004

Multiscale resolution in the computation of crystalline microstructure.
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
A posteriori error estimates for nonconforming finite element methods.
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


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