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On adaptive finite ...
On adaptive finite element methods for Fredholm integral equations of the second kind
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- Asadzadeh, Mohammad, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Eriksson, Kenneth, 1952 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 1994
- 1994
- English.
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In: SIAM Journal on Numerical Analysis. ; 31:3, s. 831-855
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Abstract
Subject headings
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- A posteriors and a priori error estimates are derived for a finite element discretization of a Fredholm integral equation of the second kind. A reliable and efficient adaptive algorithm is then designed for a specific computational goal with applications to potential problems. The reliability of the algorithm is guaranteed by the a posteriors error estimate and the efficiency follows from the a priori error estimate, which shows that the a posteriors error bound is sharp
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Fredholm integral equation
- potential problems
- adaptive finite element method
- a posteriors and a priori error estimates
- potential problems
Publication and Content Type
- ref (subject category)
- art (subject category)
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