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20192025
most citedA phase-field model for fractures in incompressible solids

32 citations · 138 across the 19 of their papers we have counts for

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Showing 2019 · math.NAShow all

5 papers · 2 filters

math.NA2019★ 14 cited

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…

math.NA2019★ 29 cited

Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator

Katrin Mang, Mirjam Walloth, Thomas Wick +1

In this work, we consider adaptive mesh refinement for a monolithic phase-field description for fractures in brittle materials. Our approach is based on an a posteriori error estim…

math.NA2019★ 10 cited

Quasi-best approximation in optimization with PDE constraints

Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1

We consider finite element solutions to quadratic optimization problems, where the state depends on the control via a well-posed linear partial differential equation. Exploiting th…

math.NA2019★ 9 cited

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…

math.NA2019★ 32 cited

A phase-field model for fractures in incompressible solids

Katrin Mang, Thomas Wick, Winnifried Wollner

Within this work, we develop a phase-field description for simulating fractures in incompressible materials. Standard formulations are subject to volume-locking when the solid is (…