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Iterative and Petrov-Galerkin methods for solving a system of one-dimensional nonlinear elliptic equations

Authors: Ben Yu Guo and J. J. H. Miller
Journal: Math. Comp. 58 (1992), 531-547
MSC: Primary 65L10; Secondary 65L60
MathSciNet review: 1122057
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Abstract: Two sequences of supersolutions and subsolutions are constructed. Their limits are the solutions of a system of one-dimensional nonlinear elliptic equations. A Petrov-Galerkin scheme is proposed. The existence of solutions of the resulting discrete system is proved by an iteration which also provides a numerical method.

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Article copyright: © Copyright 1992 American Mathematical Society

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