Analysis on the method of fundamental solutions for biharmonic equations

DOI10.1016/j.amc.2018.07.016zbMath1429.65293OpenAlexW2887929553MaRDI QIDQ2007534

Fang-Fang Dou, Zi Cai Li, Zhao Lu Tian, Ching-Shyang Chen

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.016

zbMATH Keywords

stability analysiserror analysismethod of fundamental solutionsbiharmonic equationsTrefftz methods

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (6)

A Mathematical Analysis Method for Bending Problem of Clamped Shallow Spherical Shell on Elastic Foundation ⋮ Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries ⋮ Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ The quasi-optimal radial basis function collocation method: a technical note ⋮ Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries

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