Improved discretization error estimates for first-order system least squares

Pflaum C, McCormick S, Manteuffel T (2003)


Publication Type: Journal article, Report

Publication year: 2003

Journal

Publisher: Walter de Gruyter

Book Volume: 11

Pages Range: 163-177

Journal Issue: 2

URI: http://www.degruyter.com/dg/viewarticle.fullcontentlink:pdfeventlink/$002fj$002fjnma.2003.11.issue-2$002f156939503766614153$002f156939503766614153.pdf?t:ac=j$002fjnma.2003.11.issue-2$002f156939503766614153$002f156939503766614153.xml

DOI: 10.1163/156939503766614153

Abstract

We study the discretization accuracy for first-order system least squares (FOSLS) applied to Poisson's equation as a model problem. The FOSLS formulation is based on an H1 elliptic bilinear form ℱ. Since the order of convergence of the discretization in the L2 and H1 norms depends on the regularity of ℱ, we examine this property in detail. We then use these results together with an Aubin-Nitsche bound to develop improved discretization error estimates.

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How to cite

APA:

Pflaum, C., McCormick, S., & Manteuffel, T. (2003). Improved discretization error estimates for first-order system least squares. Journal of Numerical Mathematics, 11(2), 163-177. https://dx.doi.org/10.1163/156939503766614153

MLA:

Pflaum, Christoph, Steve McCormick, and Tom Manteuffel. "Improved discretization error estimates for first-order system least squares." Journal of Numerical Mathematics 11.2 (2003): 163-177.

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