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Finite element approximation of solutions to a class of nonlinear hyperbolic–parabolic equations

✍ Scribed by Donald A. French; Søren Jensen; Thomas I. Seidman

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
167 KB
Volume
31
Category
Article
ISSN
0168-9274

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✦ Synopsis

The numerical approximation of model of the longitudinal motion of a viscoelastic rod is investigated. Their constitutive assumptions ensure that infinite compressive stress is needed to produce total compression of the rod. Analyses of the regularity of the solution of the continuous problem, the convergence of a semi-discrete finite element method, and the properties of a space-time finite element scheme are furnished. Results of a sample computation are also provided.

📜 SIMILAR VOLUMES

Global solutions to a class of nonlinear
Global solutions to a class of nonlinear hyperbolic systems of equations
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The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.

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