CONFORMING AND NONCONFORMING FINITE ELEMENT METHODS FOR SOLVING THE STATIONARY STOKES EQUATIONS - 1.

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Abstract

The paper is devoted to a general finite element approximation of the solution of the Stokes equations for an incompressible viscous fluid. Both conforming and nonconforming finite-element methods are studied and various examples of simplistic elements well suited for the numerical treatment of the incompressibility condition are given. Optimal error estimates are derived in the energy norm and in the L**2-norm.

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Crouzeix, M., & Raviart, P. A. (1973). CONFORMING AND NONCONFORMING FINITE ELEMENT METHODS FOR SOLVING THE STATIONARY STOKES EQUATIONS - 1. Rev Fr Autom Inf Rech Oper, 7, 33–76. https://doi.org/10.1051/m2an/197307r300331

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