Title :
Tailored finite point methods for solving Poisson and biharmonic problems
Author :
Shih, Yin-Tzer ; Chou, Chau-Yi
Author_Institution :
Dept. of Appl. Math., Nat. Chung Hsing Univ., Taichung, Taiwan
Abstract :
We study a tailored finite point method (TFPM) for solving the Poisson´s equation, and extent the application for TFPM to the biharmonic problem. The solution´s basis functions for the TFPM are constructed by some hyperbolic functions and trigonometric functions. Some truncation error calculations are given. Numerical tests are given on problems containing the L-shaped domain. The tests compare TFPM with a software package, and suggest that TFPM gives a good numerical solution.
Keywords :
Poisson equation; error analysis; hyperbolic equations; L-shaped domain; Poisson´s equation; biharmonic problem; hyperbolic function; numerical testing; tailored finite point method; trigonometric function; truncation error calculation; Ducts; Equations; Finite element methods; Finite wordlength effects; Magnetohydrodynamics; Poisson equations; Three dimensional displays;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002691
