7 papers · 1 filter
Anisotropic hp space-time adaptivity and goal-oriented error control for convection-dominated problems
Nils Margenberg, Marius Paul Bruchhäuser, Bernhard Endtmayer
We present an anisotropic goal-oriented error estimator based on the Dual Weighted Residual (DWR) method for time-dependent convection-dominated problems. Using elementwise p-aniso…
A Note on the Reliability of Goal-Oriented Error Estimates for Galerkin Finite Element Methods with Nonlinear Functionals
Brian N. Granzow, Stephen D. Bond, D. Thomas Seidl +1
We consider estimating the discretization error in a nonlinear functional in the setting of an abstract variational problem: find such that $B(u,Ï) = L(…
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer +3
In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations.…
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations
M. Bause, M. Bruchhäuser, B. Endtmayer +3
We present an anisotropic goal-oriented error estimator based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. Using ani…
A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations
Bernhard Endtmayer, Ulrich Langer, Thomas Richter +2
This work reviews goal-oriented a posteriori error control, adaptivity and solver control for finite element approximations to boundary and initial-boundary value problems for stat…
Locally different models in a checkerboard pattern with mesh adaptation and error control for multiple quantities of interest
Bernhard Endtmayer
In this work, we apply multi-goal oriented error estimation to the finite element method. In particular, we use the dual weighted residual method and apply it to a model problem. T…