Evaluation of high order versions of the diffuse approximate meshless method

DOI10.1016/j.amc.2006.08.059zbMath1117.65156OpenAlexW2152841598MaRDI QIDQ884548

E. Dabboura, Christian Prax, Hamou Sadat

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.059

zbMATH Keywords

numerical examplesdiffusion equationPoisson equationmeshless methodconvection diffusion equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• \(hp\)-meshless cloud method
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• An \(h\)-adaptive method in the generalized finite differences
• An extended finite element method with higher-order elements for curved cracks
• High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems.
• To mesh or not to mesh. That is the question\(\dots \)
• Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
• The generalized finite element method

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