9 citations · 16 across the 3 of their papers we have counts for
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Iterative solvers in adaptive FEM
Philipp Bringmann, Ani Miraçi, Dirk Praetorius
This chapter provides an overview of state-of-the-art adaptive finite element methods (AFEMs) for the numerical solution of second-order elliptic partial differential equations (PD…
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…
-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…