6533b7d8fe1ef96bd126a408

RESEARCH PRODUCT

A posteriori error majorants of the modeling errors for elliptic homogenization problems

Stefan A. SauterSergey RepinTatiana Samrowski

subject

10123 Institute of Mathematics510 MathematicsNorm (mathematics)Mathematical analysista111A priori and a posterioriGeneral MedicineBoundary value problemHomogenization (chemistry)2600 General MathematicsMathematics

description

In this paper, we derive new two-sided a posteriori estimates of the modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization. Our approach is based on the concept of functional a posteriori error estimation. The estimates are obtained for the energy norm and use solely the global flux of the non-oscillatory solution of the homogenized model and solution of a boundary value problem on the cell of periodicity.

yearjournalcountryeditionlanguage
2013-12-01Comptes Rendus Mathematique
10.1016/j.crma.2013.10.025https://doi.org/10.1016/j.crma.2013.10.025