Meshless techniques for anisotropic diffusion

DOI10.1016/j.amc.2014.03.032zbMath1337.65155OpenAlexW1998740123WikidataQ62925298 ScholiaQ62925298MaRDI QIDQ273240

Giorgio Pini, Flavio Sartoretto, Annamaria Mazzia

Publication date: 21 April 2016

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

Full work available at URL: http://www.siam.org/meetings/gs13

zbMATH Keywords

lockingmeshless methodsanisotropic diffusiongeneralized moving least squaresMLPG

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Direct meshless local Petrov-Galerkin method for elastodynamic analysis ⋮ Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov-Galerkin method ⋮ DMLPG solution of the fractional advection-diffusion problem ⋮ Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation ⋮ Error analysis in Sobolev spaces for the improved moving least-square approximation and the improved element-free Galerkin method ⋮ A numerical study of the virtual element method in anisotropic diffusion problems

Uses Software

• Matlab

Cites Work

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• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
• Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations
• Meshless methods: An overview and recent developments
• A new implementation of the element free Galerkin method
• Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
• On generalized moving least squares and diffuse derivatives
• Numerical Investigation on Direct MLPG for 2D and 3D Potential Problems
• Meshless Solution of Potential Problems by Combining Radial Basis Functions and Tensor Product ones
• Accurate MLPG solution for 3D potential problems
• Surfaces Generated by Moving Least Squares Methods
• On Locking and Robustness in the Finite Element Method
• Uniformly distributed sequences with an additional uniform property
• The approximation power of moving least-squares
• An analysis of finite element locking in a parameter dependent model problem

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