A p-TYPE SUPERCONVERGENT RECOVERY METHOD FOR FE STATIC ANALYSIS OF PLANAR CURVED BEAMS

A p-type post-processing superconvergent recovery method is proposed for finite element (FE) static analysis of planar curved beams, from which superconvergent displacements and forces on the whole structure can be obtained. Based on the superconvergence property of nodal displacements, a linear ordinary differential boundary value problem (BVP) which approximately governs the displacements on each element is set up by setting the FE solutions of element's end nodal displacements as essential boundary conditions. This linear BVP is solved with a higher order element from which the superconvergent displacement on each element is obtained. From the derivatives of the recovered displacements the superconvergent forces are derived. This method is simple and direct. It can enhance the accuracy and convergence order of the displacements and forces significantly with small computational cost. Numerical examples demonstrate that this method is efficient, reliable and promising.