Stability of Finite Elements under Divergence Constraints

1983/08/01 by J. M. Boland, R. A. Nicolaides · 3 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling #Contact Mechanics and Variational Inequalities

paper · doi:10.1137/0720048

Abstract

A finite dimensional stability test for checking velocity/pressure finite element trial spaces is presented. Applications are made to a new class of element pairs proposed in this paper as well as to existing spaces.

Cited by

• A locally mass conserving quadratic velocity, linear pressure element
• Superconvergence of the Q_k+1,k-Q_k,k+1 divergence-free finite element
• A macroelement stabilization for multiphase poromechanics

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