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Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
Comptes Rendus Mathematique ( IF 0.8 ) Pub Date : 2019-06-01 , DOI: 10.1016/j.crma.2019.05.011 Assyr Abdulle , Doghonay Arjmand , Edoardo Paganoni
Comptes Rendus Mathematique ( IF 0.8 ) Pub Date : 2019-06-01 , DOI: 10.1016/j.crma.2019.05.011 Assyr Abdulle , Doghonay Arjmand , Edoardo Paganoni
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.
更新日期：2019-06-01
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