Comparison of local weak and strong form meshless methods for 2-D diffusion equation

DOI10.1016/j.enganabound.2011.08.009zbMath1245.76085OpenAlexW2095868599MaRDI QIDQ444840

Božidar Šarler, Gregor Kosec, Marjan Šterk, Roman Trobec

Publication date: 24 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.08.009

zbMATH Keywords

diffusion equationmeshless methodsMLPGweak formerror comparisonDAMnon-regular node arrangementregular node arrangementstrong form

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Performance analyses of mesh-based local finite element method and meshless global RBF collocation method for solving Poisson and Stokes equations, Simulation of semiconductor devices with a local numerical approach, Meshless analysis of soil-structure interaction using an MFS-MLPG coupled approach, A meshless solution of two dimensional multiphase flow in porous media, A parametric study of the MLPG method for thermo-mechanical solidification analysis, The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data, On the meshfree particle methods for fluid-structure interaction problems, Numerical solution to the deflection of thin plates using the two-dimensional Berger equation with a meshless method based on multiple-scale Pascal polynomials, Piece-wise moving least squares approximation, An adapted plane waves method for heat conduction problems, Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions

Uses Software

• Matlab
• COMSOL
• FEAPpv
• Mfree2D

Cites Work

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