A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition

DOI10.1016/j.cam.2021.113544zbMath1475.65166arXiv1908.07403OpenAlexW2969895917MaRDI QIDQ2029421

Wenyuan Liao, Hatef Dastour

Publication date: 3 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07403

zbMATH Keywords

PMLHelmholtz equationnumerical dispersionoptimal finite difference scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Seismology (including tsunami modeling), earthquakes (86A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Scattering of shallow asymmetric V-shaped canyon under cylindrical SH waves ⋮ Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems

Uses Software

• UMFPACK

Cites Work

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