Combined hybrid approach to finite element schemes of high performance

Based on a combination of Hellinger{Reissner principle with its dual, a mixed/hybrid method of nonsaddle point type has been presented in the previous papers. In the paper, an application of the method to two-dimensional elasticity problems is considered in a manner of combination of mathematical analysis with numerical investigation. How to construct a combined hybrid scheme of high performance is discussed, and several four-node quadrilateral CH-elements are systematically veri ed. In brief, this paper shows that for the hybrid element scheme, the energy compatibility condition, introduced in Zhou (Combined hybrid nite element method without requirement for Babuska-Brezzi condition, to appear) is the ultimate key to the achievement of high performance