Solution of two-dimensional Poisson problems in quadrilateral domains using transfinite Coons interpolation

DOI10.1002/cnm.690zbMath1048.65115OpenAlexW2121840469MaRDI QIDQ4736805

Christopher G. Provatidis

Publication date: 6 August 2004

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.690

zbMATH Keywords

finite elementsnumerical examplesglobal approximationPoisson problemsmacro elementstransfinite Coons interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Analysis of box-like structures using 3-D Coons' interpolation ⋮ High order transition elements: the \(x\mathbf{N}y\)-element concept. II: Dynamics ⋮ A local multivariate Lagrange interpolation method for constructing shape functions ⋮ Coons-patch macroelements in two-dimensional parabolic problems ⋮ Integration-free Coons macroelements for the solution of 2D Poisson problems

Uses Software

• Mfree2D

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Further research on the performance of consistent mass matrices using BEM for symmetric/nonsymmetric formulations
• Coons-patch macroelements in two-dimensional parabolic problems
• Boundary solution of Poisson's equation using radial basis function collocated on Gaussian quadrature nodes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item