Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors provide with this publication an analysis of the methods in order to understand their properties as thoroughly as possible.
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Contents: Variational Formulations and Finite Element Methods.- Approximation of Saddle Point Problems.- Function Spaces and Finite Element Approximations.- Various Examples.- Complements on Mixed Methods for Elliptic Problems.- Incompressible Materials and Flow Problems.- Other Applications.- References.- Index.
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