20372493
9781423570486
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We consider the mixed formulation of the linear elasticity problem. We identify stable families of mixed finite element spaces for both curvilinear quadrilateral and triangular elements. We give conditions under which these elements converge at asymptotically optimal (or near-optimal) rates, both in terms of the mesh width h and polynomial degree p. We validate these findings computationally. Finally, we identify a mixed formulation for the geometrically nonlinear elasticity problem and experimentally investigate the stability of our mixed finite element spaces for this problem.Air Force Inst of Tech Wright-Patterson AFB OH is the author of 'Looking-Free Mixed hp Finite Element Methods for Linear and Geometrically Nonlinear Elasticity' with ISBN 9781423570486 and ISBN 1423570480.
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