A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method

DOI10.1007/978-3-540-79994-8_12zbMath1158.65343OpenAlexW136428371MaRDI QIDQ3601906

Sławomir Milewski, Janusz Orkisz

Publication date: 12 February 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79994-8_12

zbMATH Keywords

numerical examplesLaplace equationcorrection termsa posteriori error estimationmeshless finite difference methodhigher order approximation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ Higher order meshless schemes applied to the finite element method in elliptic problems ⋮ Selected computational aspects of the meshless finite difference method ⋮ Global-local Petrov-Galerkin formulations in 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 ⋮ A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method ⋮ A Matlab software for approximate solution of 2D elliptic problems by means of the meshless Monte Carlo random walk method ⋮ Combination of the meshless finite difference approach with the Monte Carlo random walk technique for solution of elliptic problems

Cites Work

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• A posteriori error estimation in finite element analysis
• Meshless methods: An overview and recent developments
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Surfaces Generated by Moving Least Squares Methods
• Multi-Level Adaptive Solutions to Boundary-Value Problems

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