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Mathematics of Computation

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Coupling finite element and spectral methods: first results


Authors: Christine Bernardi, Naïma Debit and Yvon Maday
Journal: Math. Comp. 54 (1990), 21-39
MSC: Primary 65N30
MathSciNet review: 995205
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Abstract: A Poisson equation on a rectangular domain is solved by coupling two methods: the domain is divided in two squares; a finite element approximation is used on the first square and a spectral discretization is used on the second. Two kinds of matching conditions on the interface are presented and compared; in both cases, error estimates are proved.


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DOI: https://doi.org/10.1090/S0025-5718-1990-0995205-7
Article copyright: © Copyright 1990 American Mathematical Society