Convergence of relaxation schemes to the equations of elastodynamics

Authors
Gosse, L Tzavaras, AE
Citation
L. Gosse et Ae. Tzavaras, Convergence of relaxation schemes to the equations of elastodynamics, MATH COMPUT, 70(234), 2001, pp. 555-577
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
70
Issue
234
Year of publication
2001
Pages
555 - 577
Database
ISI
SICI code
0025-5718(2001)70:234<555:CORSTT>2.0.ZU;2-8
Abstract
We study the effect of approximation matrices to semi-discrete relaxation s chemes for the equations of one-dimensional elastodynamics. We consider a s emi-discrete relaxation scheme and establish convergence using the L-p theo ry of compensated compactness. Then we study the convergence of an associat ed relaxation-diffusion system, inspired by the scheme. Numerical compariso ns of fully-discrete schemes are carried out.