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The Lagrange multiplier method for Dirichlet's problem


Author: James H. Bramble
Journal: Math. Comp. 37 (1981), 1-11
MSC: Primary 65N30
DOI: https://doi.org/10.1090/S0025-5718-1981-0616356-7
MathSciNet review: 616356
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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.


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DOI: https://doi.org/10.1090/S0025-5718-1981-0616356-7
Article copyright: © Copyright 1981 American Mathematical Society