A high-order compact scheme for the one-dimensional Helmholtz equation with a discontinuous coefficient

DOI10.1080/00207160.2011.648184zbMath1255.65191OpenAlexW2032916961MaRDI QIDQ4903562

Xiufang Feng

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.648184

zbMATH Keywords

Helmholtz equationcompact finite difference schemediscontinuous coefficientthe immersed interface method

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Multidomain Legendre-Galerkin Chebyshev collocation least squares method for one-dimensional problems with two nonhomogeneous jump conditions ⋮ Unnamed Item ⋮ A fourth-order orthogonal spline collocation solution to 1D-Helmholtz equation with discontinuity ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ Fourth order orthogonal spline collocation methods for two-point boundary value problems with interfaces ⋮ Higher-order compact finite difference for certain PDEs in arbitrary dimensions ⋮ 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

Cites Work

• A domain decomposition solver for acoustic scattering by elastic objects in layered media
• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Unnamed Item

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