4 citations · 6 across the 5 of their papers we have counts for
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Robust Multigrid on Adaptive Meshes for the Integral Fractional Laplacian
Markus Faustmann, Paula Hilbert, Ani Miraçi +1
We analyze a geometric multigrid method on locally refined mesh hierarchies for non-local variational problems, focusing on the integral fractional Laplacian. For newest-vertex-bis…
Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
Thomas Führer, Paula Hilbert, Ani Miraçi +1
We analyze optimal complexity of adaptive finite element methods (AFEMs) for general second-order linear elliptic partial differential equations (PDEs) in the Lax-Milgram setting.…
Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity
Paula Hilbert, Ani Miraçi, Dirk Praetorius
We consider adaptive finite element methods (AFEMs) with inexact algebraic solvers for second-order symmetric linear elliptic diffusion problems. Optimal complexity of AFEM, i.e.,…