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Published in:
2006 | OriginalPaper | Chapter
A Mixed Method
Author : Vidar Thomée
Published in: Galerkin Finite Element Methods for Parabolic Problems
Publisher: Springer Berlin Heidelberg
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In this chapter we shall consider a finite element method for our model parabolic equation which is based on a mixed formulation of the problem. In this formulation the gradient of the solution is introduced as a separate dependent variable, the approximation of which is sought in a different finite element space than the solution itself. One advantage of this procedure is that the gradient of the solution may be approximated to the same order of accuracy as the solution itself.