Publication: Estimates of the modeling error generated by homogenization of an elliptic boundary value problem
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem
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Repin, S., Samrowski, T., & Sauter, S. (2016). Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Journal of Numerical Mathematics, 24(1), 1–15. https://doi.org/10.1515/jnma-2014-1002
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In this paper, we derive a posteriori bounds of the difference between the exact solution of an elliptic boundary value problem with periodic coefficients and an abridged model, which follows from the homogenization theory. The difference is measured in terms of the energy norm of the basic problem and also in the combined primal–dual norm. Using the technique of functional type a posteriori error estimates, we obtain two-sided bounds of the modelling error, which depends only on known data and the solution of the homogenized problem.
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- Repin, Sergey
- Samrowski, Tatiana
- Sauter, Stefan
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Repin, S., Samrowski, T., & Sauter, S. (2016). Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Journal of Numerical Mathematics, 24(1), 1–15. https://doi.org/10.1515/jnma-2014-1002
