Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows

One of the most successful and well-developed mathematical theories concerning finite element methods (FEM) is that connected with incompressible flow problems. The success of this theory lies not only in the accumulated elegant mathematical results, but also in its impact on practical computations. The outstanding monograph by Girault and Raviart [15] give a rigorous account of this theory, and to this day remain the definitive sources.

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