Publication: A posteriori modelling-discretization error estimate for elliptic problems with L ∞-Coefficients
A posteriori modelling-discretization error estimate for elliptic problems with L ∞-Coefficients
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Weymuth, M., Sauter, S., & Repin, S. (2017). A posteriori modelling-discretization error estimate for elliptic problems with L ∞-Coefficients. Computational Methods in Applied Mathematics, 17, 515–531. https://doi.org/10.1515/cmam-2017-0015
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We consider elliptic problems with complicated, discontinuous diffusion tensor A0. One of the standard approaches to numerically treat such problems is to simplify the coefficient by some approximation, say Aϵ, and to use standard finite elements. In [19] a combined modelling-discretization strategy has been proposed which estimates the discretization and modelling errors by a posteriori estimates of functional type. This strategy allows to balance these two errors in a problem adapted way. However, the estimate of the modelling error
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- Weymuth, Monika
- Sauter, Stefan
- Repin, Sergey
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Weymuth, M., Sauter, S., & Repin, S. (2017). A posteriori modelling-discretization error estimate for elliptic problems with L ∞-Coefficients. Computational Methods in Applied Mathematics, 17, 515–531. https://doi.org/10.1515/cmam-2017-0015
