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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


A least squares decomposition method for solving elliptic equations

Author: Dennis C. Jespersen
Journal: Math. Comp. 31 (1977), 873-880
MSC: Primary 65N30
MathSciNet review: 0461948
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Abstract: This paper analyzes a numerical method for solving second-order elliptic partial differential equations. The idea is to write the equation as a lower-order system and solve the system using least squares techniques. Error estimates are derived for a model problem.

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PII: S 0025-5718(1977)0461948-0
Keywords: Rayleigh-Ritz Galerkin methods, least squares approximation, mixed methods
Article copyright: © Copyright 1977 American Mathematical Society