Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions

DOI10.2478/s11533-013-0251-7zbMath1273.65190OpenAlexW2131014346MaRDI QIDQ360346

Csaba Gáspár

Publication date: 26 August 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0251-7

zbMATH Keywords

regularizationnumerical examplesLaplace equationmixed boundary value problemsmethod of fundamental solutionsmeshlessfourth-order equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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

An implicit method of fundamental solutions using twofold domains, Continuous approximation models in freight distribution management, Application of Quadtrees in the Method of Fundamental Solutions Using Multi-Level Tools, Non-singular method of fundamental solutions for anisotropic elasticity, The singular boundary method: mathematical background and application in orthotropic elastic problems, Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters, Modified method of regularized sources for potential flow, A multi-level technique for the method of fundamental solutions without regularization and desingularization, Fast Meshless Techniques Based on the Regularized Method of Fundamental Solutions

Cites Work

• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• A method of fundamental solutions without fictitious boundary
• Symmetric boundary knot method
• Boundary knot method for Poisson equations
• Novel meshless method for solving the potential problems with arbitrary domain
• Investigation on near-boundary solutions by singular boundary method
• A meshless polyharmonic-type boundary interpolation method for solving boundary integral equations
• Several Meshless Solution Techniques for the Stokes Flow Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item