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摘要
We propose and analyze a new expanded mixed element method, whose gradient belongs to the simple square integrable space instead of the classical H(div; Omega) space of Chen's expanded mixed element method. We study the new expanded mixed element method for convection-dominated Sobolev equation, prove the existence and uniqueness for finite element solution, and introduce a new expanded mixed projection. We derive the optimal a priori error estimates in L-2-norm for the scalar unknown u and a priori error estimates in (L-2)(2)-norm for its gradient lambda and its flux sigma. Moreover, we obtain the optimal a priori error estimates in H-1-norm for the scalar unknown u. Finally, we obtained some numerical results to illustrate efficiency of the new method.
- 出版日期2014
- 单位内蒙古大学
