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

被引：5

作者：

French, DA ^{[1
]}

Jensen, S

Seidman, TI

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Univ Maryland Baltimore Cty, Dept Math & Stat, Baltimore, MD 21250 USA

[3] Univ Minnesota, Dept Math, Inst Math & Applicat, Minneapolis, MN 55455 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 1999年 / 31卷 / 04期

关键词：

viscoelastic rods; finite elements;

D O I：

10.1016/S0168-9274(99)00004-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical approximation of Antman and Seidman's (1996) 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. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.

引用

页码：429 / 450

页数：22

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