The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number

DOI10.4208/aamm.13-13S04zbMath1279.35013OpenAlexW4247841829MaRDI QIDQ2870217

Ji Lin, Wen Chen, Ching-Shyang Chen

Publication date: 17 January 2014

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.13-13s04

zbMATH Keywords

fast Fourier transformcirculant matrixmethod of fundamental solutionsaxisymmetric domainexterior Helmholtz problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Complexity and performance of numerical algorithms (65Y20) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (13)

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions ⋮ The p-norm of circulant matrices ⋮ The MFS and MAFS for solving Laplace and biharmonic equations ⋮ On the norms and eigenvalues of \(r\)-circulant matrices with \(k\)-Mersenne and \(k\)-Mersenne-Lucas numbers ⋮ An improved localized boundary knot method for 3D acoustic problems ⋮ Fast algorithms for solving FLS \(R\)-factor block circulant linear systems and inverse problem of \(\mathcal{A} X = b\) ⋮ Determinants, norms, and the spread of circulant matrices with Tribonacci and generalized Lucas numbers ⋮ Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method ⋮ A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation ⋮ Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions ⋮ Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains ⋮ The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions

This page was built for publication: The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number