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Forward and Inverse Boundary-Value Problem Solver Using Symbolic Computation

Kiyoshi Yoda

T. Furuhashi
Y. Uchikawa
Journal / Anthology

Nonlinear Phenomena in Electromagnetic Fields: Proceedings of 4th ISEM Symposium (ISEM-Nagoya)
Year: 1992
Page range: 189-192

An approach for solving forward and inverse boundary-value problems has been proposed using symbolic computation. Finite element or boundary element calculation of a given system is performed with the symbolic parameters expressing its shape or material properties. This allows direct sensitivity analysis and graphical plots because the calculated results such as otential distributions are explicitly provided as a function of the shape or material variables. On the other hand, inverse problems can be solved directly by comparing the calculated distribution functions with desired or measured quantities. Applications include design optimization nd identifiction of unknown internal system parameters. Preliminary experimental results and advantages over conventional numerical methods are briefly described.

*Applied Mathematics > Numerical Methods
*Engineering > Electrical Engineering