PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Boffi D., Gastaldi L. Analysis of finite element approximation of evolution problems in mixed form. Technical report ercim.cnr.ian//2002-1286, 2002.
 
 
Abstract
(English)
This paper deals with the finite element approximation of evolution problems in mixed form. We handle separately two types of problems. The first one is a model of the mixed Laplace equation and the second one of the Stokes problem. For either case, we give sufficient conditions for a good approximation in the natural functional spaces. The results are not obvious in the first situation. In this case, the well-known conditions for the well-posedness and convergence of the corresponding steady problem are not sufficient for the good approximation of the evolution problem. This issue is demonstrated with a numerical (counter)example and justified analytically.
Subject Mixed finite element, evolution problem, Stokes problem, Laplace problem in mixed form
65N30, 65M60


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