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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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A mixed finite element method for a strongly nonlinear second-order elliptic problem
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by F. A. Milner and E.-J. Park PDF
Math. Comp. 64 (1995), 973-988 Request permission

Abstract:

The approximation of the solution of the first boundary value problem for a strongly nonlinear second-order elliptic problem in divergence form by the mixed finite element method is considered. Existence and uniqueness of the approximation are proved and optimal error estimates in ${L^2}$ are established for both the scalar and vector functions approximated by the method. Error estimates are also derived in ${L^q},2 \leq q \leq + \infty$.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 973-988
  • MSC: Primary 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1303087-3
  • MathSciNet review: 1303087