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- Maier, Roland,1993Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences (author)
A high-order approach to elliptic multiscale problems with general unstructured coefficients
- Article/chapterEnglish2021
Publisher, publication year, extent ...
- 2021
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- LIBRIS-ID:oai:research.chalmers.se:23961c5b-255a-4d20-8db4-a8ca10ac98ee
- https://doi.org/10.1137/20M1364321DOI
- https://research.chalmers.se/publication/523929URI
- https://research.chalmers.se/publication/521786URI
- https://gup.ub.gu.se/publication/300840URI
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- Language:English
- Summary in:English
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- We propose a multiscale approach for an elliptic multiscale setting with general unstructured diffusion coefficients that is able to achieve high-order convergence rates with respect to the mesh parameter and the polynomial degree. The method allows for suitable localization and does not rely on additional regularity assumptions on the domain, the diffusion coefficient, or the exact (weak) solution as typically required for high-order approaches. Rigorous a priori error estimates are presented with respect to the involved discretization parameters, and the interplay between these parameters as well as the performance of the method are studied numerically.
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Signalbehandling hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Signal Processing hsv//eng
- Multiscale method
- Numerical homogenization
- High-order method
- Multiscale method
- numerical homogenization
- high-order method
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- Göteborgs universitetInstitutionen för matematiska vetenskaper (creator_code:org_t)
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- In:SIAM Journal on Numerical Analysis59:2, s. 1067-10891095-71700036-1429
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