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Numerical Model Red...
Numerical Model Reduction with error estimation for computational homogenization of non-linear consolidation
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- Ekre, Fredrik, 1992 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Larsson, Fredrik, 1975 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Runesson, Kenneth, 1948 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Janicke, R. (author)
- Technische Universität Braunschweig
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(creator_code:org_t)
- Elsevier BV, 2022
- 2022
- English.
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In: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825. ; 389
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Abstract
Subject headings
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- 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
- 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)
Keyword
- Model reduction
- Computational homogenization
- Error control
Publication and Content Type
- art (subject category)
- ref (subject category)
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