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07/08/2023
Explicit a posteriori error representation for variational problems and application to TV-minimization
In this paper, we propose a general approach for explicit a posteriori e...
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02/03/2023
Error analysis for a Crouzeix-Raviart approximation of the obstacle problem
In the present paper, we study a Crouzeix-Raviart approximation of the o...
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09/27/2022
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere
We numerically benchmark methods for computing harmonic maps into the un...
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09/24/2022
Quasi-optimal error estimates for the approximation of stable harmonic maps
Based on a quantitative version of the inverse function theorem and an a...
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08/17/2022
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints
An error estimate for a canonical discretization of the harmonic map hea...
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05/30/2022
Modeling and simulation of nematic LCE rods
We introduce a nonlinear, one-dimensional bending-twisting model for an ...
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05/11/2022
Error Estimates For A Linear Folding Model
An interior penalty discontinuous Galerkin method is devised to approxim...
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04/22/2022
Explicit and efficient error estimation for convex minimization problems
We combine a systematic approach for deriving general a posteriori error...
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03/17/2022
Computing confined elasticae
A numerical scheme for computing arc-length parametrized curves of low b...
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03/08/2022
A nonlinear bending theory for nematic LCE plates
In this paper, we study an elastic bilayer plate composed of a nematic l...
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01/11/2022
Error estimates for total-variation regularized minimization problems with singular dual solutions
Recent quasi-optimal error estimates for the finite element approximatio...
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11/05/2021
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation
We are interested in the optimization of convex domains under a PDE cons...
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08/10/2021
Simulating Self-Avoiding Isometric Plate Bending
Inspired by recent results on self-avoiding inextensible curves, we prop...
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08/02/2021
Modeling and simulation of thin sheet folding
The article addresses the mathematical modeling of the folding of a thin...
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06/25/2021
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems
Recent quasi-optimal error estimates for the finite element approximatio...
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04/20/2021
Approximation of fractional harmonic maps
This paper addresses the approximation of fractional harmonic maps. Besi...
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05/06/2020
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces
Identities that relate projections of Raviart-Thomas finite element vect...
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04/23/2020
Simulation of constrained elastic curves and application to a conical sheet indentation problem
We consider variational problems that model the bending behavior of curv...
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04/20/2020
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations
We devise and analyze a class of interior penalty discontinuous Galerkin...
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04/01/2020
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints
Bilayer plates are compound materials that exhibit large bending deforma...
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02/06/2020
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
This article discusses nonconforming finite element methods for convex m...
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01/10/2020
Parameter learning and fractional differential operators: application in image regularization and decomposition
In this paper, we focus on learning optimal parameters for PDE-based ima...
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11/19/2019
Numerical simulation of inextensible elastic ribbons
Using dimensionally reduced models for the numerical simulation of thin ...
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11/16/2019