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Primal hybrid finite element methods for $ 2$nd order elliptic equations


Authors: P.-A. Raviart and J. M. Thomas
Journal: Math. Comp. 31 (1977), 391-413
MSC: Primary 65N30
MathSciNet review: 0431752
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Abstract: The paper is devoted to the construction of finite element methods for 2nd order elliptic equations based on a primal hybrid variational principle. Optimal error bounds are proved. As a corollary, we obtain a general analysis of nonconforming finite element methods.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1977-0431752-8
Keywords: Finite element methods, hybrid methods, Lagrange multipliers, nonconforming methods
Article copyright: © Copyright 1977 American Mathematical Society