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- W2028306039 abstract "In this paper, we suggest a new computational strategy for diffusion type problems with coefficients that may sharply change values and have a complicated distribution over the domain. We solve models, which approximate the coefficients, numerically and estimate the corresponding approximation errors by the a posteriori estimates of functional type. We show that the modelling error can be also explicitly calculated. This allows to obtain numerical solutions of complicated diffusion problems by solving much simpler problems that do not require full detailization of the structure of coefficients. Balancing modelling and discretization errors provides an economical way of getting an approximate solution with an a priori given accuracy. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2028306039 date "2010-11-16" @default.
- W2028306039 modified "2023-10-06" @default.
- W2028306039 title "A Posteriori Estimates for Modelling Errors of the Stationary Diffusion Equation with Complicated Coefficients" @default.
- W2028306039 cites W1607719246 @default.
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- W2028306039 doi "https://doi.org/10.1002/pamm.201010278" @default.
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