MIXED FINITE-ELEMENT ANALYSIS AND NUMERICAL SOLITARY SOLUTION FOR THERLW EQUATION

Authors
LUO ZD LIU RX
Citation
Zd. Luo et Rx. Liu, MIXED FINITE-ELEMENT ANALYSIS AND NUMERICAL SOLITARY SOLUTION FOR THERLW EQUATION, SIAM journal on numerical analysis (Print), 36(1), 1998, pp. 89-104
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis (Print) → ACNP
ISSN journal
00361429
Volume
36
Issue
1
Year of publication
1998
Pages
89 - 104
Database
ISI
SICI code
0036-1429(1998)36:1<89:MFAANS>2.0.ZU;2-L
Abstract
In this paper a mixed finite element (MFE) formulation is proposed for the 1-D regularized long wave (RLW) equation u(t) + auu(x) - delta u( xxt) = 0. The existence of its mixed generalized solution and semidisc rete and fully discrete mixed finite element solutions is proved, erro r estimates based on energy methods are given, and finally, results of numerical experiments comparing this formulation with a Galerkin meth od based on cubic splines are also given.