Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

DOI10.4208/JCM.1604-M2015-0290zbMath1374.65186OpenAlexW2521444336WikidataQ57433735 ScholiaQ57433735MaRDI QIDQ5276757

Xiaolu Su, Zhilin Li, Xiufang Feng

Publication date: 14 July 2017

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

Full work available at URL: https://doi.org/10.4208/jcm.1604-m2015-0290

zbMATH Keywords

numerical experimentsHelmholtz equationimmersed interface methodhigh order methodcompact finite difference schemespolar coordinatepiecewise wave numbers

Mathematics Subject Classification ID

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

Related Items (4)

A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces ⋮ Fourth order orthogonal spline collocation methods for two-point boundary value problems with interfaces ⋮ High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces ⋮ Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers

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