Abstract
AbstractA simple and efficient algorithm for the generation of hierarchical hybrid rectangular finite elements for two‐dimensional elasticity problems is presented. A significant saving in computational effort needed for calculating the stiffness matrices of the various finite elements is gained by using symbolic algebra for calculating exactly the necessary integrals. Hierarchical matrices G and H, corresponding to a stress field up to a cubic approximation and a displacement field up to a quadratic approximation, are detailed. The described method for generating hierarchical hybrid stress elements could easily be extended for higher‐order elements.
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