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Third-Order Corrections in Periodic Homogenization for Elliptic Problem

Third-Order Corrections in Periodic Homogenization for Elliptic Problem This paper is devoted to the study of the error estimates in the periodic homogenization of elliptic equations in divergence form with Dirichlet boundary conditions. We are interested in the application of a two-scale asymptotic expansions method. We present the error estimates of the third-order with and without boundary layers terms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Third-Order Corrections in Periodic Homogenization for Elliptic Problem

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References (24)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
ISSN
1660-5446
eISSN
1660-5454
DOI
10.1007/s00009-021-01727-3
Publisher site
See Article on Publisher Site

Abstract

This paper is devoted to the study of the error estimates in the periodic homogenization of elliptic equations in divergence form with Dirichlet boundary conditions. We are interested in the application of a two-scale asymptotic expansions method. We present the error estimates of the third-order with and without boundary layers terms.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: May 21, 2021

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