Numerical Error of 2D-Laplace Equation in Stretching Coordinate Transformation.

Accession number;99A0182290
Title;Numerical Error of 2D-Laplace Equation in Stretching Coordinate Transformation.
Author; HIRATSU SHINOBU (Ibaraki Univ., Grad. Sch.) TSUBOI KAZUHIRO (Ibaraki Univ., Fac. of Eng.) ISHIGURO MISAKO (Ibaraki Univ., Fac. of Eng.)
Journal Title;Joho Shori Gakkai Kenkyu Hokoku
Journal Code:Z0031B
ISSN:0919-6072
VOL.98;NO.115(HPC-74);PAGE.19-24(1998)
Figure&Table&Reference;FIG.7, TBL.1, REF.3
Pub. Country;Japan
Language;Japanese
Abstract;We consider to solve the problem with finite difference method, in which physical values vary drastically toward the boundary. In this case, it is important to obtain the accurate solutions without increasing the number of grids in space. For a problem in such phenomena, so called as "stretching coordinate transformation" is used to concentrate the grids toward the boundary with the drastic increase or decrease of values. And we investigate the numerical error between approximate solution and exact solution of 2D-Laplace equation, and make clear the relationship between the error and the coordinate stretching parameter for the grid concentration. (author abst.)