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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The Lagrange multiplier method for Dirichlet’s problem
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by James H. Bramble PDF
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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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 1-11
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616356-7
  • MathSciNet review: 616356