Abstract
A mixed finite element procedure for plane elasticity is introduced and analyzed. The symmetry of the stress tensor is enforced through the introduction of a Lagrange multiplier. An additional Lagrange multiplier is introduced to simplify the linear algebraic system. Applications are made to incompressible elastic problems and to plasticity problems.
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This research was performed while Professor Arnold was a NATO Post-Doctoral Fellow.
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Arnold, D.N., Brezzi, F. & Douglas, J. PEERS: A new mixed finite element for plane elasticity. Japan J. Appl. Math. 1, 347–367 (1984). https://doi.org/10.1007/BF03167064
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DOI: https://doi.org/10.1007/BF03167064