Estimates of modeling errors for linear elliptic problems
Tatiana S. Samrowski · PAMM · 2014
Abstract We derive new estimates of modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization method. 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. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)