Publication: A posteriori error majorants of the modeling errors for elliptic homogenization problems
A posteriori error majorants of the modeling errors for elliptic homogenization problems
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Repin, S. I., Samrowski, T. S., & Sauter, S. A. (2013). A posteriori error majorants of the modeling errors for elliptic homogenization problems. Comptes Rendus Mathematique, 351(23–24), 877–882. https://doi.org/10.1016/j.crma.2013.10.025
Abstract
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Abstract
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.
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- Repin, Sergey I
- Samrowski, Tatiana S
- Sauter, Stefan A
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Repin, S. I., Samrowski, T. S., & Sauter, S. A. (2013). A posteriori error majorants of the modeling errors for elliptic homogenization problems. Comptes Rendus Mathematique, 351(23–24), 877–882. https://doi.org/10.1016/j.crma.2013.10.025
