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Exponential decay o...
Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
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- Abdulle, Assyr (författare)
- École polytechnique fédérale de Lausanne, Switzerland
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- Arjmand, Doghonay, 1987- (författare)
- Division of Scientific Computing,École polytechnique fédérale de Lausanne, Switzerland
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- Paganoni, Edoardo (författare)
- École polytechnique fédérale de Lausanne, Switzerland
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(creator_code:org_t)
- Elsevier BV, 2019
- 2019
- Engelska.
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 357:6, s. 545-551
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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