Martin Averseng

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20172026

most citedBoundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner

1 citations · 1 across the 10 of their papers we have counts for

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math.NA2022

Fractured Meshes

Martin Averseng, Xavier Claeys, Ralf Hiptmair

This work introduces ``generalized meshes", a type of meshes suited for the discretization of partial differential equations in non-regular geometries. Generalized meshes extend re…

math.NA2022

Jump-preserving polynomial interpolation in non-manifold polyhedra

Martin Averseng

We construct a piecewise-polynomial interpolant $u \mapsto Π u$ for functions $u : Ω ∖ Γ \to R$ , where $Ω \subset R^{d}$ is a Lipschitz polyhedron and $Γ\subset Ω…