Journal ArticleDOI
A General Finite Difference Method for Arbitrary Meshes
Nicholas Perrone,Robert Kao +1 more
TLDR
In this paper, a two-dimensional finite-difference technique for irregular meshes is formulated for derivatives up to the second order, where the domain in the vicinity of a given central point is broken into eight 45 degree pie shaped segments and the closest finite difference point in each segment to the center point is noted.About:
This article is published in Computers & Structures.The article was published on 1975-04-01. It has received 257 citations till now. The article focuses on the topics: Finite difference coefficient & Finite difference.read more
Citations
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Journal ArticleDOI
Meshless methods: An overview and recent developments
TL;DR: Meshless approximations based on moving least-squares, kernels, and partitions of unity are examined and it is shown that the three methods are in most cases identical except for the important fact that partitions ofunity enable p-adaptivity to be achieved.
Journal ArticleDOI
A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering
TL;DR: In this paper, the authors present the techniques, advances, problems and likely future developments in numerical modelling for rock mechanics and discuss the value that is obtained from the modelling, especially the enhanced understanding of those mechanisms initiated by engineering perturbations.
Journal ArticleDOI
A finite point method in computational mechanics. applications to convective transport and fluid flow
TL;DR: In this article, the finite point method (FPM) is proposed for solving partial differential equations, which is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals.
Journal ArticleDOI
The finite difference method at arbitrary irregular grids and its application in applied mechanics
T. Liszka,J. Orkisz +1 more
TL;DR: The FIDAM code as discussed by the authors is a system of computer programs designed for the solution of two-dimensional, linear and nonlinear, elliptic problems and three-dimensional parabolic problems.
Journal ArticleDOI
A stabilized finite point method for analysis of fluid mechanics problems
TL;DR: In this paper, a meshless finite point method for convection-diffusion and fluid flow type problems is presented, which is based on the use of a weighted least-square interpolation procedure together with point collocation for evaluating the approximation integrals.
References
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Book
Matrix iterative analysis
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.