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Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes

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Summary

A modified variational formulation, recently introduced by Taylor, Beresford and Wilson for solving second order problems, using the nonconforming Wilson element is here analysed. It is shown that the Patch Test is satisfied and that stresses and displacements are respectively first and second order accurate for arbitrary quadrilateral meshes.

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Lesaint, P., Zlámal, M. Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes. Numer. Math. 36, 33–52 (1980). https://doi.org/10.1007/BF01395987

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