100 citations · 334 across the 42 of their papers we have counts for
4 papers · 1 filter
Hierarchical DWR Error Estimates for the Navier Stokes Equation: and Enrichment
B. Endtmayer, U. Langer, J. P. Thiele +1
In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our p…
Multigoal-oriented optimal control problems with nonlinear PDE constraints
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel +2
In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized -Laplace equation. To this end, a reduced unconstraine…
Space-Time Finite Element Methods for Parabolic Evolution Problems with Non-smooth Solutions
Ulrich Langer, Andreas Schafelner
We propose consistent locally stabilized, conforming finite element schemes on completely unstructured simplicial space-time meshes for the numerical solution of non-autonomous par…
Matrix-free multigrid solvers for phase-field fracture problems
Daniel Jodlbauer, Ulrich Langer, Thomas Wick
In this work, we present a framework for the matrix-free solution to a monolithic quasi-static phase-field fracture model with geometric multigrid methods. Using a standard matrix…