DISPLACEMENT FINITE-ELEMENT METHOD - NEW ALGEBRAIC STRUCTURE AND APPROPRIATE ALGORITHMS

In this note we state in a new form the algebraic problem arising from the one-field displacement finite element method. The displacement ap proach, in this discrete form, can be considered as the dual approach (force or equilibrium) with subsidiary constraints. A more general uni fication of both the one-field displacement finite element method and the two-fields mired stress-displacement finite element method is prop osed. Tt is based upon a discrete variational principle. We also demon strate the numerical performances of this new approach.