A LEAST-SQUARES FINITE-ELEMENT SCHEME FOR THE RLW EQUATION

Authors
GARDNER LRT GARDNER GA DOGAN A
Citation
Lrt. Gardner et al., A LEAST-SQUARES FINITE-ELEMENT SCHEME FOR THE RLW EQUATION, Communications in numerical methods in engineering, 12(11), 1996, pp. 795-804
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
12
Issue
11
Year of publication
1996
Pages
795 - 804
Database
ISI
SICI code
1069-8299(1996)12:11<795:ALFSFT>2.0.ZU;2-N
Abstract
The RLW equation is solved by a least-squares technique using linear s pace-time finite elements. In simulations of the migration of a single solitary wave this algorithm is shown to have higher accuracy and bet ter conservation than a recent difference scheme based on cubic spline interpolation functions. In addition, for very small amplitude waves (less than or equal to 0.09) it has higher accuracy than an approach u sing quadratic B-spline finite elements within Galerkin's method. The development of an undular bore is modelled.