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Nonsmooth data error estimates for damped single step methods for parabolic equations in Banach space
Jönköping University.
1999 (English)In: Calcolo (Testo stampato), ISSN 0008-0624, E-ISSN 1126-6434, Vol. 36, no 2, 75-101 p.Article in journal (Refereed) Published
Abstract [en]

We consider a time discretization method for a parabolic initial boundary value problem obtained from a combination of an A-stable single step method of order p and a lower order method with good smoothing properties. Such methods, including the Crank-Nicolson method combined with the backward Euler method, were analyzed in Hilbert space by Luskin and Rannacher, and nonsmooth data error estimates of order p were obtained. We extend this result to Banach space, and also consider approximations of the time derivative. Further, we apply the results to obtain error estimates in the supremum norm for fully discrete methods obtained by discretizing the space variable by a finite element method. © Springer-Verlag 1999.

Place, publisher, year, edition, pages
1999. Vol. 36, no 2, 75-101 p.
Keyword [en]
Crank-Nicolson, Error estimate, Nonsmooth data, Parabolic equation, Single step method, Supremum norm
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15788DOI: 10.1007/s100920050024OAI: oai:DiVA.org:hj-15788DiVA: diva2:434215
Available from: 2011-08-12 Created: 2011-08-12 Last updated: 2011-09-05Bibliographically approved

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Hansbo, Anita
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