Mixed finite elements for second order elliptic problems in three variables |
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| Authors: | Franco Brezzi Jim Douglas Jr Ricardo Durán Michel Fortin |
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| Institution: | (1) Dipartimento di Meccanica Strutturale, Università di Pavia, and Istituto di Analisi Numerica del C.N.R. di Pavia, I-27100 Pavia, Italy;(2) Department of Mathematics, University of Chicago, 60637 Chicago, IL, USA;(3) Départment de Mathématiques, Université Laval, G1K 7P4 Québec, Canada |
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| Abstract: | Summary Two families of mixed finite elements, one based on simplices and the other on cubes, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. These spaces are analogues of those introduced by Brezzi, Douglas, and Marini in two space variables. Error estimates inL
2 andH
–s are derived. |
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| Keywords: | AMS(MOS): 65N30 CR: G1 8 |
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