97 citations · 734 across the 50 of their papers we have counts for
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math.NA2014★ 8 cited
Optimal additive Schwarz methods for the -BEM: the hypersingular integral operator in 3D on locally refined meshes
Thomas Führer, Jens Markus Melenk, Dirk Praetorius +1
We propose and analyze an overlapping Schwarz preconditioner for the and boundary element method for the hypersingular integral equation in 3D. We consider surface triangu…
math.NA2014★ 97 cited
Local high-order regularization and applications to hp-methods
Michael Karkulik, Jens Markus Melenk
We develop a regularization operator based on smoothing on a locally defined length scale. This operator is defined on and has approximation properties that are given by the…
math.NA2014★ 3 cited
A Posteriori Error Analysis of -FEM for singularly perturbed problems
Jens M. Melenk, Thomas P. Wihler
We consider the approximation of singularly perturbed linear second-order boundary value problems by -finite element methods. In particular, we include the case where the assoc…