Towards an efficient meshless computational technique: the method of finite spheres
- 1 February 2001
- journal article
- Published by Emerald Publishing in Engineering Computations
- Vol. 18 (1/2) , 170-192
- https://doi.org/10.1108/02644400110365860
Abstract
Computational efficiency and reliability are clearly the most important requirements for the success of a meshless numerical technique. While the basic ideas of meshless techniques are simple and well understood, an effective meshless method is very difficult to develop. The efficiency depends on the proper choice of the interpolation scheme, numerical integration procedures and techniques of imposing the boundary conditions. These issues in the context of the method of finite spheres are discussed.Keywords
This publication has 16 references indexed in Scilit:
- Displacement/pressure mixed interpolation in the method of finite spheresInternational Journal for Numerical Methods in Engineering, 2001
- A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approachComputational Mechanics, 1998
- A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin methodComputational Mechanics, 1998
- The partition of unity finite element method: Basic theory and applicationsComputer Methods in Applied Mechanics and Engineering, 1996
- Meshless methods: An overview and recent developmentsComputer Methods in Applied Mechanics and Engineering, 1996
- Analysis of thin plates by the element-free Galerkin methodComputational Mechanics, 1995
- Generalizing the finite element method: Diffuse approximation and diffuse elementsComputational Mechanics, 1992
- The finite difference method at arbitrary irregular grids and its application in applied mechanicsComputers & Structures, 1980
- A numerical approach to the testing of the fission hypothesisThe Astronomical Journal, 1977
- Numerical Integration over the Planar AnnulusJournal of the Society for Industrial and Applied Mathematics, 1957