Inverse estimates for elliptic boundary integral operators and their\n application to the adaptive coupling of FEM and BEM

2012/11/19 by Markus Aurada, Michael Feischl, Aurada, Markus +9
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1211.4360

openalex publication_date 2012/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove inverse-type estimates for the four classical boundary integral\noperators associated with the Laplace operator. These estimates are used to\nshow convergence of an h-adaptive algorithm for the coupling of a finite\nelement method with a boundary element method which is driven by a weighted\nresidual error estimator.\n

Citations

• Polynomial approximation of functions in Sobolev spaces

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