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On inf-sup conditions and projections in the theory of mixed finite-element methods

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Abstract

We indicate constraints on the space of finite elements providing the validity of discrete inf-sup conditions and the existence of projections specific for mixed finite-element methods. We consider both conformal and nonconformal approximations. We suggest a definition of special projections onto the vector space of finite elements which provides their existence under quite general conditions without determining the degrees of freedom of the elements.

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Authors and Affiliations

  1. Kazan Federal University, Kazan, Russia

    R. Z. Dautov

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  1. R. Z. Dautov
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Correspondence to R. Z. Dautov.

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Original Russian Text © R.Z. Dautov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 7, pp. 909–922.

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Dautov, R.Z. On inf-sup conditions and projections in the theory of mixed finite-element methods. Diff Equat 50, 899–912 (2014). https://doi.org/10.1134/S0012266114070064

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