๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Two-dimensional numerical integration using a square mesh

โœ Scribed by P. Luchini

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
617 KB
Volume
31
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

โœฆ Synopsis

A method is presented to compute a surface integral over an arbitrary domain using only the values of the integrand function at the vertices of a square mesh. The method provides suitable weights to be given only to the points of the mesh close to the boundary of the integration domain, and can be embodied in algorithms of any order n, with an error decreasing as h + with the spacing h of the mesh. Because of the square mesh employed, this method can be used to improve the precision of integral transform algorithms like the Fast Fourier Transform with an insignificant overhead in computation time.

๐Ÿ“œ SIMILAR VOLUMES

Two-dimensional boundary element kernel
Two-dimensional boundary element kernel integration using series expansions
โœ M.H. Aliabadi; W.S. Hall ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

Series expansions are applied to integrations arising in the two dimensional Boundary Element Method. It is shown that, for the derivative kernel, exact integrals can be obtained for quadratic and higher order shape functions. It is proved incidentally that the derivative kernel contains no singular

Computational Solution of Two-Dimensiona
Computational Solution of Two-Dimensional Unsteady PDEs Using Moving Mesh Methods
โœ G. Beckett; J.A. Mackenzie; A. Ramage; D.M. Sloan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

Numerical experiments are described which illustrate some important features of the performance of moving mesh methods for solving two-dimensional partial differential equations (PDEs). Here we are concerned with algorithms based on moving mesh methods proposed by W. Huang and R. D. Russell [SIAM J.

Numerical solution of the two-dimensiona
Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function
โœ Amjad Alipanah; Shahrokh Esmaeili ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

## a b s t r a c t In this paper, we introduce a numerical method for the solution of two-dimensional Fredholm integral equations. The method is based on interpolation by Gaussian radial basis function based on Legendre-Gauss-Lobatto nodes and weights. Numerical examples are presented and results