0000000000319568
AUTHOR
Tatiana Samrowski
A posteriori error majorants of the modeling errors for elliptic homogenization problems
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.
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem
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