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12/01/2022
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs
We consider a general nonsymmetric second-order linear elliptic PDE in t...
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11/08/2022
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs
We consider scalar semilinear elliptic PDEs where the nonlinearity is st...
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10/19/2022
Optimal computational costs of AFEM with optimal local hp-robust multigrid solver
In this work, an adaptive finite element algorithm for symmetric second-...
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08/22/2022
Plain convergence of goal-oriented adaptive FEM
We discuss goal-oriented adaptivity in the frame of conforming finite el...
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03/03/2022
MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs
We present an easily accessible, object oriented code (written exclusive...
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12/13/2021
Goal-oriented adaptive finite element method for semilinear elliptic PDEs
We formulate and analyze a goal-oriented adaptive finite element method ...
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11/05/2021
Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems
We consider an elliptic linear-quadratic parameter estimation problem wi...
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01/27/2021
Goal-oriented adaptive finite element methods with optimal computational complexity
We consider a linear symmetric and elliptic PDE and a linear goal functi...
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03/30/2020
Optimal convergence rates for goal-oriented FEM with quadratic goal functional
We consider a linear elliptic PDE and a quadratic goal functional. The g...
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10/10/2019
Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
We consider the time-dependent Landau-Lifshitz-Gilbert equation. We prov...
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07/30/2019