A Method for Solving Inverse Boundary-Value Problems Using Symbolic Computation -- from Wolfram Library Archive

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

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