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Error estimates for the numerical solution of a time-periodic linear parabolic problem
1991 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 31, no 4, p. 664-685Article in journal (Refereed) Published
Abstract [en]

In this paper we consider the numerical solution of a time-periodic linear parabolic problem. We derive optimal order error estimates in Lz(f2) for approximate solutions obtained by discretizing in space by a Galerkin finite-element method and in time by single-step finite difference methods, using known estimates for the associated initial value problem. We generalize this approach and obtain error estimates for more general discretization methods in the norm of a Banach space B c L2(Ω), e.g., B = H10(Ω) or L(Ω). Finally, we consider some computational aspects and give a numerical example.

Place, publisher, year, edition, pages
1991. Vol. 31, no 4, p. 664-685
Keywords [en]
AMS 1980 subject classification: 65N15, 65N30, error estimate, Galerkin method, parabolic, time-periodic
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-15790DOI: 10.1007/BF01933180OAI: oai:DiVA.org:hj-15790DiVA, id: diva2:434213
Available from: 2011-08-12 Created: 2011-08-12 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Anita

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