Sensitivity Analysis Method Of The Boundary Value Problem Of
The Poisson Equation By The Trefftz Method
Author(s)
E. Kita, Y. Ikeda & N. Kamiya
Abstract
Sensitivity analysis method of the boundary
value problem of the Poisson equation by the
Trefftz method
E. Kita, Y. Ikeda & N. Kamiya
Graduate School of Information Sciences, Nagoya University, Nagoya,
Japan
Abstract
A sensitivity analysis scheme for the boundary value problem of the
Poisson equation with the help of the Trefftz method is described in this
paper.
In the present scheme, inhomogeneous terms of Poisson equations are
approximated with polynomial functions in Cartesian coordinates to
derive the particular solutions. The solution of the problem is
approximated with the T-complete functions of Laplace equation and the
particular solutions of the Poisson equation. Direct differentiation of the
approximate solution leads to the sensitivities. The present scheme is
applied to some numerical examples in order to discuss the features.
1 Introduction
Sensitivity analysis schemes are very important tools for solving inverse
problems. Many researchers have presented the sensitivity analys
Keywords
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