collaborators

5 papers

math.NA2026

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…

math.OC2025

A 5D concept for space-time optimal control problems with application to simplified Carreau flow

S. Beuchler, B. Endtmayer, U. Langer +2

This work presents a 5D concept to optimizing non-Newtonian fluid flows through a simplified Carreau flow model. We solve the optimization problem by approximating the solution of…

math.NA2025

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,φ) = L(…

math.NA2025

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.…

math.NA2025

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…