5 citations · 12 across the 15 of their papers we have counts for
6 papers · 1 filter
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces
Sören Bartels, Zhangxian Wang
Identities that relate projections of Raviart-Thomas finite element vector fields to discrete gradients of Crouzeix-Raviart finite element functions are derived under general condi…
Simulation of constrained elastic curves and application to a conical sheet indentation problem
Sören Bartels
We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding fu…
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations
Sören Bartels
We devise and analyze a class of interior penalty discontinuous Galerkin methods for nonlinear and nonsmooth variational problems. Discrete duality relations are derived that lead…
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints
Sören Bartels, Christian Palus
Bilayer plates are compound materials that exhibit large bending deformations when exposed to environmental changes that lead to different mechanical responses in the involved mate…
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods
Sören Bartels
This article discusses nonconforming finite element methods for convex minimization problems and systematically derives dual mixed formulations. Duality relations lead to simple er…
Parameter learning and fractional differential operators: application in image regularization and decomposition
Sören Bartels, Nico Weber
In this paper, we focus on learning optimal parameters for PDE-based image regularization and decomposition. First we learn the regularization parameter and the differential operat…