A survey of several methods under the heading of strong formulation finite element method (SFEM) is presented. These approaches are distinguished from classical one, termed weak formulation finite element method (WFEM). The main advantage of the SFEM is that it uses differential quadrature method (DQM) for the discretization of the equations and the mapping technique for the coordinate transformation from the Cartesian to the computational domain. Moreover, the element connectivity is performed by using kinematic and static conditions, so that displacements and stresses are continuous across the element boundaries. Numerical investigations integrate this survey by giving details on the subject.

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SUMMARYIn this paper a new stress recovery procedure is presented. The formulation is very simple and based on improving stresses by enforcing compatibility over local patches of elements. This is obtained by minimizing the complementary energy, properly defined for the patch thought as a separate system, among an assumed set of equilibrated stress fields. The resultant implementation is simple, cost effective and numerically stable. Several numerical tests evidence an excellent performance which promises a wide applicability of the new procedure.

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