In the present paper a coordinate independent finite element primal-mixed approach based on the stationary Reissner's principle, having both the displacement and stress boundary conditions exactly satisfied and solvable by direct Gaussian elimination procedure, is presented. The main goal of this paper is to show that the proposed procedure is easy for implementation, robust, stable near singularities and more efficient, in the sense of the execution time needed for the prescribed accuracy, than classical displacement finite element procedure. Because Gaussian procedure is obvious in the classical finite element analysis, the proposed approach ensures a fair basis for the comparison of computational efficiencies of these two approaches.

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