Finite element Galerkin solutions for the strongly damped extensible beam equations

Authors:
S. M. Choo;S. K. Chung;R. Kannan
Affiliations:
Department of Mathematics, Ulsan University, Ulsan 680-749, Korea;Department of Mathematics Education, Seoul National University, Seoul 151-743, Korea;Department of Mathematics, The University of Texas at Arlington, TX
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2002

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Abstract

Finite element Galerkin solutions for the strongly damped extensible beam equations are considered. The semidiscrete scheme and a fully discrete time Galerkin method are studied and the corresponding stability and error estimates are obtained. Ratios of numerical convergence are given.