161 citations · 380 across the 23 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018★ 3 cited
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
Jose Pablo Lucero Lorca, Guido Kanschat
We present robust and highly parallel multilevel non-overlapping Schwarz preconditioners, to solve an interior penalty discontinuous Galerkin finite element discretization of a sys…
math.NA2018★ 4 cited
A C1-mapping based on finite elements on quadrilateral and hexahedral meshes
Daniel Arndt, Guido Kanschat
Finite elements of higher continuity, say conforming in instead of , require a mapping from reference cells to mesh cells which is continuously differentiable across cel…
math.NA2018★ 2 cited
A Contraction Property of an Adaptive Divergence-Conforming Discontinuous Galerkin Method for the Stokes Problem
Natasha Sharma, Guido Kanschat
We prove the contraction property for two successive loops of the adaptive algorithm for the Stokes problem reducing the error of the velocity. The problem is discretized by a dive…