MATHICSE Technical Report : Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

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.


Year:
Mar 30 2019
Publisher:
Écublens, MATHICSE
Note:
MATHICSE Technical Report Nr. 01.2019
Laboratories:




 Record created 2019-03-29, last modified 2019-10-22

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