A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term
- 114 Downloads
A new mixed scheme which combines the variation of constants and the H1-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear convection term. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are given to confirm the theoretical analysis of the proposed method.
KeywordsSobolev equation nonlinear convection term variation of constants H1-Galerkin mixed method optimal error estimate
MR Subject Classification65M60 65N30 35Q10
Unable to display preview. Download preview PDF.
- P A Raviart, J M Thomas. A mixed finite element methods for second order elliptic problems, In: Lecture Notes in Math, Vol 606, Springer, Berlin, 1977, 292–315.Google Scholar
- R W Wang. Error estimates for H 1-Galerkin mixed finite element methods for hyperbolic type integro-differential equation, Math Numer Sinica, 2006, 28(1): 19–30.Google Scholar