Discontinuous Galerkin hp-BEM with quasi-uniform meshes

2012/06/27 by Norbert Heuer, Heuer, Norbert, Salim Meddahi +1
Computer Science · Engineering · #65N12 #65N15 #65N30 #65N38 #65N55 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1206.6351

openalex publication_date 2012/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present and analyze a discontinuous variant of the hp-version of the boundary element Galerkin method with quasi-uniform meshes. The model problem is that of the hypersingular integral operator on an (open or closed) polyhedral surface. We prove a quasi-optimal error estimate and conclude convergence orders which are quasi-optimal for the h-version with arbitrary degree and almost quasi-optimal for the p-version. Numerical results underline the theory.

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