Analysis of some mixed finite element methods for plane elasticity equations

Juhani Pitkäranta, Rolf Stenberg

Type: Article

Publication Date: 1983-01-01

Citations: 45

DOI: https://doi.org/10.1090/s0025-5718-1983-0717693-x

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.

Locations

Mathematics of Computation - View - PDF

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