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Multiscale Methods in Science and Engineering pp 169–180Cite as

Adaptive Submodeling for Linear Elasticity Problems with Multiscale Geometric Features

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 44))

Summary

Submodeling is a procedure for local enhancement of the resolution of a coarse global finite element solution by solving a local problem on a subdomain containing an area of particular interest. We focus on linear elasticity and computation of local stress levels determined by the local geometry of the domain. We derive a posteriori error estimates for the submodeling procedure using duality techniques. Based on these estimates we propose an adaptive procedure for automatic choice of the resolution and size of the submodel. The procedure is illustrated for problems of industrial interest.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Umeå University, 90187, Umeå, Sweden

    Mats G. Larson, Fredrik Bengzon & August Johansson

Authors
  1. Mats G. Larson
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  2. Fredrik Bengzon
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  3. August Johansson
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Editor information

Editors and Affiliations

  1. Department of Numerical Analysis and Computer Science, Royal Institute of Technology, SE-10044, Stockholm, Sweden

    Björn Engquist  & Olof Runborg  & 

  2. Department of Information Technology, Uppsala University, Box 337, SE-75105, Uppsala, Sweden

    Per Lötstedt

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© 2005 Springer-Verlag Berlin Heidelberg

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Larson, M.G., Bengzon, F., Johansson, A. (2005). Adaptive Submodeling for Linear Elasticity Problems with Multiscale Geometric Features. In: Engquist, B., Runborg, O., Lötstedt, P. (eds) Multiscale Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26444-2_8

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