WFRF:(Larsson Fredrik 1975)
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- Ekre, Fredrik,1992Chalmers tekniska högskola,Chalmers University of Technology (author)
Numerical Model Reduction with error estimation for computational homogenization of non-linear consolidation
- Article/chapterEnglish2022
Publisher, publication year, extent ...
- Elsevier BV,2022
- electronicrdacarrier
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- LIBRIS-ID:oai:research.chalmers.se:a5389a73-0288-43de-99da-9f0ceb512522
- https://research.chalmers.se/publication/528316URI
- https://doi.org/10.1016/j.cma.2021.114334DOI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Notes
- Numerical Model Reduction (NMR) is adopted for solving the non-linear microscale problem that arises from computational homogenization of a model problem of porous media with displacement and pressure as unknown fields. A reduced basis is obtained for the pressure field using Proper Orthogonal Decomposition and the pertinent displacement basis is obtained using Nonuniform Transformation Field Analysis. An explicit, fully computable, a posteriori error estimator is derived based on the linearized error equation for quantification of the NMR error in terms of a suitably chosen energy norm. The performance of the error estimates is demonstrated via a set of numerical examples with varying load amplitudes.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Maskinteknik Teknisk mekanik hsv//swe
- ENGINEERING AND TECHNOLOGY Mechanical Engineering Applied Mechanics hsv//eng
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
- Model reduction
- Computational homogenization
- Error control
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- Larsson, Fredrik,1975Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)lafr (author)
- Runesson, Kenneth,1948Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)keru (author)
- Janicke, R.Technische Universität Braunschweig (author)
- Chalmers tekniska högskolaTechnische Universität Braunschweig (creator_code:org_t)
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- In:Computer Methods in Applied Mechanics and Engineering: Elsevier BV3890045-7825
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