Selected computational aspects of the meshless finite difference method
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Publication:1952299
DOI10.1007/s11075-012-9614-6zbMath1267.65156OpenAlexW2094344624MaRDI QIDQ1952299
Publication date: 30 May 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9614-6
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- Meshless finite difference method with higher order approximation -- applications in mechanics
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- 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))
- Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method
- An interpolation method for an irregular net of nodes
- A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- 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