most citedHierarchical DWR Error Estimates for the Navier Stokes Equation: and Enrichment

1 citations · 1 across the 4 of their papers we have counts for

collaborators

8 papers

math.NA2020

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…

math.NA2020

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…

math.NA2020

A global-local approach for hydraulic phase-field fracture in poroelastic media

Fadi Aldakheel, Nima Noii, Thomas Wick +1

In this work, phase-field modeling of hydraulic fractures in porous media is extended towards a global-local approach. Therein, the failure behavior is solely analyzed in a (small)…

math.NA2019

Dynamic and weighted stabilizations of the -scheme applied to a phase-field model for fracture propagation

Christian Engwer, Iuliu Sorin Pop, Thomas Wick

We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolut…

math.NA20191 cited

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…

math.NA2019

Optimization with nonstationary, nonlinear monolithic fluid-structure interaction

Thomas Wick, Winnifried Wollner

Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction. The problem is formulated in a monolithic fashion using the arbitrary…