DocumentCode
3042528
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
fYear
2011
fDate
26-28 July 2011
Firstpage
2644
Lastpage
2648
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002691
Filename
6002691
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