Rectangular mixed elements for elasticity with weakly imposed symmetry condition |
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Authors: | Gerard Awanou |
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Institution: | 1. Department of Mathematical Sciences, Northern Illinois University, Dekalb, IL, 60115, USA
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Abstract: | We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger–Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold et al. (Math Comput 76:1699–1723, 2007). Piecewise constants are used to approximate the displacement and the rotation. The first order BDM elements are used to approximate each row of the stress field. |
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