Boundary Element Methods for Helmholtz Problems With Weakly Imposed Boundary Conditions

Autor:	Timo Betcke, Erik Burman, Matthew W. Scroggs
Rok vydání:	2022
Předmět:	Computational Mathematics Applied Mathematics FOS: Mathematics Mathematics - Numerical Analysis Numerical Analysis (math.NA)
Zdroj:	SIAM Journal on Scientific Computing. 44:A2895-A2917
ISSN:	1095-7197 1064-8275
Popis:	We consider boundary element methods where the Calder\'on projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary operator designed using techniques from augmented Lagrangian methods. Regardless of the boundary conditions, both the primal trace variable and the flux are approximated. We focus on the imposition of Dirichlet conditions on the Helmholtz equation, and extend the analysis of the Laplace problem from \emph{Boundary element methods with weakly imposed boundary conditions} to this case. The theory is illustrated by a series of numerical examples. Comment: 24 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02760bff23ec5a17e3321c4f1c7bb8ed https://doi.org/10.1137/20m1334802 Zobrazit plný text záznamu