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Some remarks on structural relations between the tau method and the finite element method

✍ Scribed by E.L. Ortiz; A. Pham; Ngoc Dinh

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
399 KB
Volume
33
Category
Article
ISSN
0898-1221

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✦ Synopsis

We discuss structural relations between the Tau Method and the Finite Element Method (discrete step h). For a Dirichlet problem in dimensions one and two, we show that the difference between the solution given by each of these methods is bounded by C h in the norm of the Sobolev space H 1(~).

Keywords--Finite Element Method, Tau Method, Spectral Method, Collocation, Theory of numerical methods.

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