Some new finite difference methods for Helmholtz equations on irregular domains or with interfaces

DOI10.3934/dcdsb.2012.17.1155zbMath1243.65129OpenAlexW1964965271WikidataQ42193821 ScholiaQ42193821MaRDI QIDQ423827

Xiaohai Wan, Zhilin Li

Publication date: 30 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1155

zbMATH Keywords

finite difference methodnumerical examplesHelmholtz equationdiscrete maximum principleimmersed interface methodirregular domainembedding methodlevel set functionaugmented immersed interface methodelliptic interface problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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