A least-squares finite element scheme for the RLW equation


Gardner L. R. , Gardner G., DOĞAN A.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.12, ss.795-804, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 12 Konu: 11
  • Basım Tarihi: 1996
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Sayfa Sayıları: ss.795-804

Özet

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 (less than or equal to 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.