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- Elfverson, DanielUppsala universitet,Umeå universitet,Institutionen för matematik och matematisk statistik,Avdelningen för beräkningsvetenskap,Numerisk analys (author)
Multiscale methods for problems with complex geometry
- Article/chapterEnglish2017
Publisher, publication year, extent ...
- Elsevier BV,2017
Numbers
- LIBRIS-ID:oai:research.chalmers.se:fc02f831-0171-4693-b0dc-504460c11b55
- https://doi.org/10.1016/j.cma.2017.03.023DOI
- https://research.chalmers.se/publication/249736URI
- https://gup.ub.gu.se/publication/261068URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-137377URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-262266URI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
Classification
Notes
- 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.
Subject headings and genre
- 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
- priori error bound
- multiscale method
- complex geometry
- a priori error bound
- complex geometry
- multiscale method
Added entries (persons, corporate bodies, meetings, titles ...)
- Larson, Mats G,1968Umeå universitet,Institutionen för matematik och matematisk statistik(Swepub:umu)mala0002 (author)
- Målqvist, Axel,1978Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences(Swepub:uu)axema715 (author)
- Umeå universitetInstitutionen för matematik och matematisk statistik (creator_code:org_t)
Related titles
- In:Computer Methods in Applied Mechanics and Engineering: Elsevier BV321, s. 103-1230045-78251879-2138
Internet link
- http://dx.doi.org/10.1016/j.cma.2017.03.023FULLTEXT
- http://arxiv.org/pdf/1509.03991
- https://doi.org/10.1016/j.cma.2017.03.023
- https://research.chalmers.se/publication/249736
- https://gup.ub.gu.se/publication/261068
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-137377
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-262266
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