An exact bounded PML for the Helmholtz equation

Bermúdez A.; Hervella-Nieto, L; Prieto, A; Rodriguez, R

Abstract

We study the Helmholtz equation with a Sommerfeld radiation condition in an unbounded domain. We prove the existence of an exact bounded perfectly matched layer (PML) for this problem, in the sense that we recover the exact solution in the physical domain by choosing a singular PML function in a bounded domain. We approximate the solution for the PML problem using a standard finite element method and assess its performance through numerical tests. © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

Más información

Título según WOS: An exact bounded PML for the Helmholtz equation
Título según SCOPUS: An exact bounded PML for the Helmholtz equation [Une PML exacte et bornée pour l'équation de Helmholtz]
Título de la Revista: COMPTES RENDUS MATHEMATIQUE
Volumen: 339
Número: 11
Editorial: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Fecha de publicación: 2004
Página de inicio: 803
Página final: 808
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S1631073X04004613
DOI:

10.1016/j.crma.2004.10.006

Notas: ISI, SCOPUS