In this paper a mixed finite element (MFE) formulation is proposed for the 1-D regularized long wave (RLW) equation uₜ+auuₓ-δ uₓₓₜ=0. The existence of its mixed generalized solution and semidiscrete and fully discrete mixed finite element solutions is proved, error estimates based on energy methods are given, and finally, results of numerical experiments comparing this formulation with a Galerkin method based on cubic splines are also given.
No takes yet. Share an insight, caveat, or question.
Luo et al. (1998) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: