Meshless thin plate spline methods for the modified Helmholtz equation

DOI10.1016/j.cma.2008.02.029zbMath1197.65198OpenAlexW2032731477MaRDI QIDQ995331

Khalide Jbilou, Abderrahman Bouhamidi

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.02.029

zbMATH Keywords

numerical examplesHelmholtz equationthin plate splinesTikhonov regularizationKrylov subspace methodgeneralized minimal residual (GMRES) methodfundamental solution methodsleast-square (LSQR) methodsmeshless radial basis function method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

Meshfree Method in Geophysical Electromagnetic Prospecting: The 2D Magnetotelluric Example, Meshless global radial point collocation method for three-dimensional partial differential equations, A boundary meshless method with shape functions computed from the PDE, Approximation of surfaces by modified Helmholtz splines, A meshless method for the numerical computation of the solution of steady Burgers-type equations, Finite subdomain radial basis collocation method

Uses Software

• LSQR
• CRAIG

Cites Work

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