A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems

نویسندگان

  • Bernardo Cockburn
  • Jayadeep Gopalakrishnan
چکیده

In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second-order, self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart-Thomas and the Brezzi-DouglasMarini methods of similar order are identical.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2004