Comparison of three meshless methods for 2D harmonic and biharmonic problems
type: Item
instance of: scholarly article
title: Comparison of three meshless methods for 2D harmonic and biharmonic problems
zbMATH Open document ID: 1464.65212
author: Magdalena Mierzwiczak
author: Jan A. Kołodziej
published in: Engineering Analysis with Boundary Elements
publication date: 2020-08-05T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N80
zbMATH DE Number: 7228812
zbMATH Keywords: meshless methods
zbMATH Keywords: Trefftz method
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: collocation technique
MaRDI profile type: Publication
full work available at URL: j.enganabound.2020.04.003
OpenAlex ID: W3036164835
cites work: Connectivity as an alternative to boundary integral equations: Construction of bases
cites work: Boundary methods, c-complete systems for Stokes problems
cites work: The method of functional equations for the approximate solution of certain boundary value problems
cites work: Many names of the Trefftz method
cites work: On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
cites work: Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
cites work: Comparisons of fundamental solutions and particular solutions for Trefftz methods
cites work: The MFS versus the Trefftz method for the Laplace equation in 3D
cites work: Q3758366
cites work: Q4487221
cites work: Q5192771
cites work: Determination of the slip constant in the Beavers-Joseph experiment for laminar fluid flow through porous media using a meshless method
cites work: The method of fundamental solutions for the numerical solution of the biharmonic equation
cites work: Comparison of different methods for choosing the collocation points in the boundary collocation method for 2D-harmonic problems with special purpose Trefftz functions
cites work: An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
cites work: A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
cites work: A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
cites work: Q4355440
cites work: Q5722857
cites work: Q5810374
DOI: 10.1016/J.ENGANABOUND.2020.04.003
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description: scientific article; zbMATH DE number 7228812