The Lagrange multiplier method for Dirichlet’s problem
Open Access
- 1 January 1981
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 37 (155) , 1-11
- https://doi.org/10.1090/s0025-5718-1981-0616356-7
Abstract
The Lagrange multiplier method of Babuška for the approximate solution of Dirichlet’s problem for second order elliptic equations is reformulated. Based on this formulation, new estimates for the error in the solution and the boundary flux are given. Efficient methods for the solution of the approximate problem are discussed.Keywords
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