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A least-squares finite element scheme for the RLW equation

✍ Scribed by Gardner, L. R. T. ;Gardner, G. A. ;Dogan, A.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 473 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199611)12:11<795::aid-cnm22>3.0.co;2-o

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✦ Synopsis

The RLW equation is solved by a least-squares technique using linear space-time finite elements. In simulations of the migration of a single solitary wave this algorithm is shown to have higher accuracy and better conservation than a recent difference scheme based on cubic spline interpolation functions. In addition, for very small amplitude waves (~0.09) it has higher accuracy than an approach using quadratic B-spline finite elements within Galerkin's method. The development of an undular bore is modelled.

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