Solution Of Poisson Equation By Trefftz Method And Computing Point
Analysis Scheme
Author(s)
E. Kita, E. Okuno, Y. Ikeda & N. Kamiya
Abstract
Solution of Poisson equation by Trefftz method
and computing point analysis scheme
E. Kita, E. Okuno, Y. Ikeda & N. Kamiya
School of Informatics and Sciences
Nagoya University, Nagoya 464-831 0, Japan
Abstract
This pa.per describes the application of Trefftz method to the boundaryvalue
problem governed with Poisson equation. An inhomogeneous term
containing an unknown function and it derivatives is approximated by the
polynomia.1 in the Cartesian coordinates to derive the particular solutions.
The bounda.ry-value problem of the Poisson equation is transformed into
that of the Laplace equa.tion by introducing the particular solution. The
particular solution includes unknown parameters, which are determined so
that the a.pproximate equation is saiisfied at collocation points placed on
boundary and in domain by means of the collocation method. Present
method is a.pplied to a. numerical example.
1 Introduction
Trefftz nlet,hod is the boundary-type solution procedure using the nonsingu1a.
r T-com
Keywords
Related Book
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