14 citations · 24 across the 5 of their papers we have counts for
9 papers
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…
Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density
Sven Beuchler, Ayhan Demircan, Bernhard Endtmayer +2
In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted resi…
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…
Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation
Denis Khimin, Johannes Lankeit, Marc C. Steinbach +1
The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimiza…
Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers
T. Knoke, S. Kinnewig, S. Beuchler +3
In this work, we consider the time-harmonic Maxwell's equations and their numerical solution with a domain decomposition method. As an innovative feature, we propose a feedforward…
Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model
S. Beuchler, B. Endtmayer, J. Lankeit +1
In this work, we develop a posteriori error control for a generalized Boussinesq model in which thermal conductivity and viscosity are temperature-dependent. Therein, the stationar…
Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems
Denis Khimin, Marc C. Steinbach, Thomas Wick
The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. Specifically in the optimal control minimization problem,…
Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction
K. Ahuja, B. Endtmayer, M. C. Steinbach +1
In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using ar…