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Title

A Method for Solving Inverse Boundary-Value Problems Using Symbolic Computation
Author

Kiyoshi Yoda
Editors

M. Tanaka
H. D. Bui
Journal / Anthology

Inverse Problems in Engineering Mechanics: IUTAM Symposium Tokyo, 1993
Year: 1993
Page range: 27-30
Description

An approach to inverse finite-element-analysis has been demonstrated using the symbolic computation language Mathematica. The forward calculation of two-dimensional finite elements is performed with symbolic shape parameters. This results in symbolically-expressed slutions such as potential distributions as functions of the shape variables. Because the calculated distributions are explicitly given as functions of the shape parameters, the shape optimization can be directly achieved uing the resulting symbolic expressions. Preliminary experimental resuls aiming at shape opimization are shown.
Subjects

*Applied Mathematics > Numerical Methods
*Engineering > Finite Element Methods
*Mathematics > Calculus and Analysis > Differential Equations