New mixed finite elements for plane elasticity and Stokes equations |
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Authors: | XIE XiaoPing & XU JinChao School of Mathematics Sichuan University Chengdu China |
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Affiliation: | XIE XiaoPing1,& XU JinChao2 1School of Mathematics,Sichuan University,Chengdu 610064,China,2Department of Mathematics,The Pennsylvania State University,PA 16802,USA |
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Abstract: | We consider mixed finite elements for the plane elasticity system and the Stokes equation. For the unmodified Hellinger-Reissner formulation of elasticity in which the stress and displacement fields are the primary unknowns, we derive two new nonconforming mixed finite elements of triangle type. Both elements use piecewise rigid motions to approximate the displacement and piecewise polynomial functions to approximate the stress, where no vertex degrees of freedom are involved. The two stress finite element ... |
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Keywords: | mixed finite element nonconforming elasticity Stokes equation |
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