Mixed finite-element approximations of linear boundary-value problems
Open Access
- 1 January 1975
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 33 (3), 255-280
- https://doi.org/10.1090/qam/451782
Abstract
A theory of mixed finite-element/Galerkin approximations of a class of linear boundary-value problems of the type T ∗ T u + k u + f = 0 T*Tu + ku + f = 0 is presented, in which appropriate notions of consistency, stability, and convergence are derived. Some error estimates are given and the results of a number of numerical experiments are discussed.Keywords
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