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Abstract
A new mixed finite element method for the Dirichlet problem of fourth order elliptic equations with variable coefficients on convex polygonal domain has been developed in this paper, the biharmonic problem and bending problems of elastic plates being particular cases of the general problem considered in the paper. For bending problems, this method gives a simultaneous approximation to the displacement u and the ‘actual’ bending and twisting moment (ψ ij ( i,j = 1, 2). Error estimate for the mixed finite element solution has been given.
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