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math.NA2022★ 9 cited

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs

Maximilian Brunner, Pascal Heid, Michael Innerberger +3

We consider a general nonsymmetric second-order linear elliptic PDE in the framework of the Lax-Milgram lemma. We formulate and analyze an adaptive finite element algorithm with ar…

math.NA2022

Combined methods for solving time-varying semilinear differential-algebraic equations with the use of spectral projectors and applications

Maria Filipkovska

Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-vary…

math.NA2022★ 5 cited

A scale-coupled numerical method for transient close-contact melting

Leonardo Boledi, Fabian Key, Benjamin Terschanski +2

We introduce a numerical workflow to model and simulate transient close-contact melting processes based on the space-time finite element method. That is, we aim at computing the ve…

math.NA2022★ 13 cited

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

Roland Becker, Maximilian Brunner, Michael Innerberger +2

We consider scalar semilinear elliptic PDEs where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. We formulate an adaptive iterative linearized finite…

math.NA2022★ 7 cited

-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs

Michael Innerberger, Ani Miraçi, Dirk Praetorius +1

In this work, we formulate and analyze a geometric multigrid method for the iterative solution of the discrete systems arising from the finite element discretization of symmetric s…

math.NA2022★ 11 cited

Curing spurious magneto-mechanical coupling in soft non-magnetic materials

Matthias Rambausek, Joachim Schöberl

The present work is concerned with the issue of spurious coupling effects that are pervasive in fully coupled magneto-mechanical finite element simulations involving very soft non-…