The plane waves method for axisymmetric Helmholtz problems

DOI10.1016/j.enganabound.2016.04.011zbMath1403.65161OpenAlexW2345989045MaRDI QIDQ1655101

Andreas Karageorghis

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.04.011

zbMATH Keywords

fast Fourier transformsHelmholtz equationcollocationmatrix decomposition algorithmplane waves method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

A meshfree method with plane waves for elastic wave propagation problems ⋮ Solving boundary value problems on manifolds with a plane waves method ⋮ The Plane Waves Method for Numerical Boundary Identification

Uses Software

• Matlab

Cites Work

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• Numerical comparison of two meshfree methods for acoustic wave scattering
• A matrix decomposition MFS algorithm for axisymmetric potential problems
• On solving boundary value problems of modified Helmholtz equations by plane wave functions
• Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains
• Using the Method of Fundamental Solutions for Obtaining Exponentially Convergent Helmholtz Eigensolutions
• Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions
• The method of fundamental solutions for eigenproblems in domains with and without interior holes

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