NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS IN IRREGULAR PLANE REGIONS USING QUALITY STRUCTURED CONVEX GRIDS-Reference-Cited by-同舟云学术

NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS IN IRREGULAR PLANE REGIONS USING QUALITY STRUCTURED CONVEX GRIDS

Published:2013-06 Issue:02 Volume:04 Page:1350004
ISSN:1793-9623
Container-title:International Journal of Modeling, Simulation, and Scientific Computing
language:en
Short-container-title:Int. J. Model. Simul. Sci. Comput.

Author:

DOMÍNGUEZ-MOTA F.¹,FERNÁNDEZ-VALDEZ P.¹,MENDOZA-ARMENTA S.¹,TINOCO-GUERRERO G.¹,TINOCO-RUIZ J. G.¹

Affiliation:

1. Facultad de Ciencias Físico Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio "B", Ciudad Universitaria, C.P. 58040, Morelia, Mexico

Abstract

The variational grid generation method is a powerful tool for generating structured convex grids on irregular simply connected domains whose boundary is a polygonal Jordan curve. Several examples that show the accuracy of a finite difference approximation to the solution of a Poisson equation using this kind of structured grids have been recently reported. In this paper, we compare the accuracy of the numerical solution calculated using those structured grids and finite differences against the solution obtained with Delaunay-like triangulations on irregular regions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793962313500049

Reference15 articles.

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