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Analysis of mixed methods using mesh dependent norms

Authors: I. Babuška, J. Osborn and J. Pitkäranta
Journal: Math. Comp. 35 (1980), 1039-1062
MSC: Primary 65N30; Secondary 65N15, 73K10
MathSciNet review: 583486
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Abstract: This paper analyzes mixed methods for the biharmonic problem by means of new families of mesh dependent norms which are introduced and studied. More specifically, several mixed methods are shown to be stable with respect to these norms and, as a consequence, error estimates are obtained in a simple and direct manner.

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Keywords: Mixed methods, error estimates, stability
Article copyright: © Copyright 1980 American Mathematical Society