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20142023
most citedAspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver

105 citations · 358 across the 18 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.NA2014

Discrete Extension Operators for Mixed finite element spaces on locally refined meshes

Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas

The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and Nédélec discretisations of and on locally refine…

math.NA2014★ 26 cited

Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension

Mark Ainsworth, Tomáš Vejchodský

We present a fully computable a posteriori error estimator for piecewise linear finite element approximations of reaction-diffusion problems with mixed boundary conditions and piec…