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Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
École polytechnique fédérale de Lausanne, Switzerland.
École polytechnique fédérale de Lausanne, Switzerland.ORCID iD: 0000-0003-4481-0964
École polytechnique fédérale de Lausanne, Switzerland.
2019 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 357, no 6, p. 545-551Article in journal (Refereed) Published
Abstract [en]

This paper presents two new approaches for finding the homogenized coefficients of multiscale elliptic PDEs. Standard approaches for computing the homogenized coefficients suffer from the so-called resonance error, originating from a mismatch between the true and the computational boundary conditions. Our new methods, based on solutions of parabolic and elliptic cell problems, result in an exponential decay of the resonance error.

Place, publisher, year, edition, pages
2019. Vol. 357, no 6, p. 545-551
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Computational Mathematics
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URN: urn:nbn:se:mdh:diva-45333DOI: 10.1016/j.crma.2019.05.011OAI: oai:DiVA.org:mdh-45333DiVA, id: diva2:1355427
Available from: 2019-09-28 Created: 2019-09-28 Last updated: 2019-10-11Bibliographically approved

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Arjmand, Doghonay

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