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AuthorO. Klaas, A. Maniatty, and M. S. Shephard
TitleA Stabilized Mixed Finite Element Method for Finite Elasticity
Year1998
JournalComputer Methods in Applied Mechanics and Engineering
Volume180
Pages65-79
AbstractA stabilized mixed finite element method for finite elasticity is presented. The method circumvents the fulfillment of the Ladyzenskaya-Babuska-Brezzi condition by adding mesh-dependent terms, which are functions of the residuals of the Euler-Lagrange equations, to the usual Galerkin method. The weak form and the linearized weak form are presented in terms of the reference and current configuration. Numerical experiments using a tetrahedral element with linear shape functions for the displacements and for the pressure show that the method successfully yields a stabilized element.