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Asymptotic error ex...
Asymptotic error expansions for the finite element method for second order elliptic problems in R_N, N>=2, I: Local interior expansions
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- Asadzadeh, Mohammad, 1952 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Schatz, Alfred, H. (författare)
- Cornell University
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- Wendland, Wolfgang (författare)
- Universität Stuttgart,University of Stuttgart
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2010
- 2010
- Engelska.
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Ingår i: SIAM Journal on Numerical Analysis. - : Society for Industrial & Applied Mathematics (SIAM). - 0036-1429 .- 1095-7170. ; 48:5, s. 2000-2017
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Abstract
Ämnesord
Stäng
- Our aim here is to give sufficient conditions on the finite element spaces near a point so that the error in the finite element method for the function and its derivatives at the point have exact asymptotic expansions in terms of the mesh parameter h, valid for h sufficiently small. Such expansions are obtained from the so-called asymptotic expansion inequalities valid in RN for N ≥ 2, studies by Schatz in [Math. Comp., 67 (1998), pp. 877-899] and [SIAM J. Numer. Anal., 38 (2000), pp. 1269-1293].
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Richardson extrapolation
- local estimates
- asymptotic error expansion inequalities
- similarity of subspaces
- scalings
- finite element method
- elliptic equations
- scalings
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- ref (ämneskategori)
- art (ämneskategori)
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