The Lagrange multiplier method for Dirichlet’s problem

Bramble, James H.

doi:10.1090/S0025-5718-1981-0616356-7

The Lagrange multiplier method for Dirichlet’s problem
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Math. Comp. 37 (1981), 1-11 Request permission

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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