1 citations · 2 across the 4 of their papers we have counts for
7 papers
Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
Ulrich Langer, Marco Zank
We consider a space-time variational formulation of parabolic initial-boundary value problems in anisotropic Sobolev spaces in combination with a Hilbert-type transformation. This…
Parallel matrix-free higher-order finite element solvers for phase-field fracture problems
Daniel Jodlbauer, Ulrich Langer, Thomas Wick
Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with…
Unstructured space-time finite element methods for optimal control of parabolic equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of parabolic optimal control problem…
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
We consider a space-time finite element method on fully unstructured simplicial meshes for optimal sparse control of semilinear parabolic equations. The objective is a combination…
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources
Ulrich Langer, Andreas Schafelner
We consider locally stabilized, conforming finite element schemes on completely unstructured simplicial space-time meshes for the numerical solution of parabolic initial-boundary v…
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
Bernhard Endtmayer, Ulrich Langer, Thomas Wick
We derive efficient and reliable goal-oriented error estimations, and devise adaptive mesh procedures for the finite element method that are based on the localization of a posterio…