Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method

DOI10.1007/978-3-642-16229-9_1zbMath1218.65077OpenAlexW35627090MaRDI QIDQ3001284

Sławomir Milewski, Janusz Orkisz

Publication date: 31 May 2011

Published in: Meshfree Methods for Partial Differential Equations V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-16229-9_1

zbMATH Keywords

numerical exampleserror boundsPoisson equationmeshless finite difference methodhigher order approximationmeshless local Petrov Galerkin methodmoving weighted least squares approximation

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Higher order meshless schemes applied to the finite element method in elliptic problems, Selected computational aspects of the meshless finite difference method, Higher order schemes introduced to the meshless FDM in elliptic problems, Meshless finite difference method with higher order approximation -- applications in mechanics

Cites Work

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