Work

A Nitsche-based domain decomposition method for hypersingular integral equations

Year: 2011

Type: preprint

Abstract: We introduce and analyze a Nitsche-based domain decomposition method for the solution of hypersingular integral equations. This method allows for discretizations with non-matching grids without the necessity of a Lagrangian multiplier, as opposed to the traditional mortar method. We prove its almost quasi-optimal convergence and underline the theory by a numerical experiment.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1102.0202

Authors: Chouly, Franz, Heuer, Norbert

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, Pontificia Universidad Católica de Chile

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949972083

Cites: 16

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Related to: 20