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Dual-Mixed Hybrid finite element method for second-order elliptic problems

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Mathematical Aspects of Finite Element Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 606))

Abstract

Dual-Mixed-Hybrid finite element approximations are described for second-order boundary-value problems in which independent approximations are used for the solution and its gradient in the interior of an element and the trace of the solution on the boundary of the element. A-priori error estimates are derived with some conditions for convergence. Some numerical results are also included.

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Authors and Affiliations

  1. The Texas Institute for Computational Mechanics, The University of Texas, Austin, Texas

    J. T. Oden & J. K. Lee

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  1. J. T. Oden
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  2. J. K. Lee
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Ilio Galligani Enrico Magenes

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© 1977 Springer-Verlag

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Oden, J.T., Lee, J.K. (1977). Dual-Mixed Hybrid finite element method for second-order elliptic problems. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064469

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  • DOI: https://doi.org/10.1007/BFb0064469

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

  • eBook Packages: Springer Book Archive

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