Two families of mixed finite elements for second order elliptic problems |
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| Authors: | Franco Brezzi Jim Douglas Jr L D Marini |
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| Institution: | (1) Dipartimento di Meccanica Strutturale, Università di Pavia, Pavia, Italy;(2) Istituto di Analisi Numerica del C.N.R. di Pavia, Italy;(3) Department of Mathematics, University of Chicago, 60637 Chicago, IL, USA |
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| Abstract: | Summary Two families of mixed finite elements, one based on triangles and the other on rectangles, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. Error estimates inL
2
( ) andH
–5
() are derived for these elements. A hybrid version of the mixed method is also considered, and some superconvergence phenomena are discussed. |
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| Keywords: | AMS(MOS): 65N30 CR: G18 |
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