Analysis of some mixed finite element methods for plane elasticity equations

Pitkäranta, J.; Stenberg, R.

doi:10.1090/S0025-5718-1983-0717693-X

Analysis of some mixed finite element methods for plane elasticity equations
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by J. Pitkäranta and R. Stenberg PDF

Math. Comp. 41 (1983), 399-423 Request permission

Abstract:

We analyze some mixed finite element methods, based on rectangular elements, for solving the two-dimensional elasticity equations. We prove error estimates for a method proposed by Taylor and Zienkiewicz and for some new variants of the known equilibrium methods. A numerical example is given demonstrating the performance of the various algorithms considered.

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