A meshless method for nonhomogeneous polyharmonic problems using method of fundamental solution coupled with quasi-interpolation technique

DOI10.1016/j.apm.2011.01.042zbMath1221.65311OpenAlexW1978209705MaRDI QIDQ639132

Shuling Li, Xiao-Lin Li

Publication date: 18 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.apm.2011.01.042

zbMATH Keywords

biharmonic equationerror estimatequasi-interpolationmethod of fundamental solutionsmeshlessnonhomogeneous

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (6)

Meshless singular boundary methods for biharmonic problems ⋮ Application of the method of fundamental solutions to 2D and 3D Signorini problems ⋮ Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions ⋮ Elastodynamic problems by meshless local integral method: analytical formulation ⋮ Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations ⋮ Radial basis functions and level set method for image segmentation using partial differential equation

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