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Multiscale methods ...
Multiscale methods for problems with complex geometry
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- Elfverson, Daniel (författare)
- Uppsala universitet,Umeå universitet,Institutionen för matematik och matematisk statistik,Avdelningen för beräkningsvetenskap,Numerisk analys
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- Larson, Mats G, 1968 (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Målqvist, Axel, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- Elsevier BV, 2017
- 2017
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 321, s. 103-123
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Abstract
Ämnesord
Stäng
- We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or complicated boundary. For local singularities this paper also offers a discrete alternative to enrichment techniques such as XFEM. We construct corrected coarse test and trail spaces which takes the fine scale features of the computational domain into account. The corrections only need to be computed in regions surrounding fine scale geometric features. We achieve linear convergence rate in the energy norm for the multiscale solution. Moreover, the conditioning of the resulting matrices is not affected by the way the domain boundary cuts the coarse elements in the background mesh. The analytical findings are verified in a series of numerical experiments.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- priori error bound
- multiscale method
- complex geometry
- a priori error bound
- complex geometry
- multiscale method
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- art (ämneskategori)
- ref (ämneskategori)
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