Localized boundary knot method for 3D inhomogeneous acoustic problems with complicated geometry

DOI10.1016/j.apm.2020.11.022zbMath1481.65247OpenAlexW3106998997MaRDI QIDQ823306

Fajie Wang, Xingxing Yue, Hongxing Zhang, Chuan-Zeng Zhang

Publication date: 24 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.11.022

zbMATH Keywords

Chebyshev interpolationmeshless methodinhomogeneous Helmholtz-type equationslocalized boundary knot methodnon-singular general solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical radial basis function approximation (65D12)

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On the supporting nodes in the localized method of fundamental solutions for 2D potential problems with Dirichlet boundary condition ⋮ Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material ⋮ Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method ⋮ A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations ⋮ An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems ⋮ An improved stabilized element-free Galerkin method for solving steady Stokes flow problems ⋮ Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two‐ and three‐dimensional domains ⋮ Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains ⋮ Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains ⋮ 2.5D singular boundary method for exterior acoustic radiation and scattering problems

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