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Transformation of dependent variables and the finite element solution of nonlinear evolution equations

✍ Scribed by Libor Čermák; Miloš Zlámal

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
507 KB
Volume
15
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

Transformation of dependent variables as, for example, the Kirchhoff transformation, is a classical tool for solving nonlinear partial differential equations. This approach is used here in connection with the finite element method and explained first in case of nonlinear heat conduction problems without phase change. The main applications of the method given in the paper concern a nonlinear degenerate parabolic equation for fluid flow through a porous medium and Stefan (moving boundary) problems.

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