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L2-error estimate for the strongly damped extensible beam equations

โœ Scribed by S.M. Choo; S.K. Chung

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
420 KB
Volume
11
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

Communicated by G. J. Fix III Abstract--L2-error estimates for finite-element Galerkin solutions for the strongly damped extensible beam equations are considered. The semidiscrete scheme and a fully discrete Galerkin scheme based on the Crank-Nicolson method are studied using appropriate projections. The corresponding stability analysis and error estimates are obtained.

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โœ Solange Kouรฉmou Patcheu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 346 KB

We prove the existence and uniqueness of global solutions for the Cauchy problem concerning the evolution equation suggested by the study of plates and beams, where A is a linear operator in a Hilbert space H and M and g are real functions. We also study the asymptotic behaviour of the solutions, u