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Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces
Identities that relate projections of Raviart-Thomas finite element vect...
05/06/2020 ∙ by Sören Bartels, et al. ∙
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Simulation of constrained elastic curves and application to a conical sheet indentation problem
We consider variational problems that model the bending behavior of curv...
04/23/2020 ∙ by Sören Bartels, et al. ∙
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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...
04/20/2020 ∙ by Sören Bartels, et al. ∙
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Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints
Bilayer plates are compound materials that exhibit large bending deforma...
04/01/2020 ∙ by Sören Bartels, et al. ∙
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Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
This article discusses nonconforming finite element methods for convex m...
02/06/2020 ∙ by Sören Bartels, et al. ∙
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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...
01/10/2020 ∙ by Sören Bartels, et al. ∙
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Numerical simulation of inextensible elastic ribbons
Using dimensionally reduced models for the numerical simulation of thin ...
11/19/2019 ∙ by Sören Bartels, et al. ∙
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Numerical solution of a bending-torsion model for elastic rods
Aiming at simulating elastic rods, we discretize a rod model based on a ...
11/16/2019 ∙ by Sören Bartels, et al. ∙
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