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Multiscale methods for problems with complex geometry
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
2017 (engelsk)Inngår i: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 321, s. 103-123Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
Elsevier, 2017. Vol. 321, s. 103-123
Emneord [en]
multiscale method, complex geometry, a priori error bound
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Identifikatorer
URN: urn:nbn:se:umu:diva-137377DOI: 10.1016/j.cma.2017.03.023ISI: 000402461100006OAI: oai:DiVA.org:umu-137377DiVA, id: diva2:1120660
Tilgjengelig fra: 2017-07-06 Laget: 2017-07-06 Sist oppdatert: 2018-06-09bibliografisk kontrollert

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Elfverson, DanielLarson, Mats G.

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