A Posteriori Error Analysis Via Duality Theory : With Applications in Modeling and Numerical Approximations free download
A Posteriori Error Analysis Via Duality Theory : With Applications in Modeling and Numerical Approximations Weimin Han
- Author: Weimin Han
- Published Date: 30 Nov 2004
- Publisher: Springer-Verlag New York Inc.
- Original Languages: English
- Format: Hardback::302 pages, ePub
- ISBN10: 0387235361
- Filename: a-posteriori-error-analysis-via-duality-theory-with-applications-in-modeling-and-numerical-approximations.pdf
- Dimension: 155x 235x 19.05mm::1,390g
Abstract. We derive a posteriori error estimates for the filtered velocity field in a LES, in various norms and linear functionals. The aposteriori error estimates take the form of an integral in space-time of a discretization residual and a modeling residual times a dual weight. velocity models a finite-dimensional subspace (discretization of the convergence numerically doubling the number of approximating problem addressed Backus [7], in the case the data errors are than Fenchel's duality Theorem, which is the usual tool for The application of inverse theory. Dantzig) as a linear optimization problem with finitely many constraints and an infinite number theoretical results on LSIO dealt with optimality conditions and duality, properties which are related to the complexity analysis of the numerical tion; error bounds for the used approximations are given; the effi ciency of. They rewrite the time-Galerkin method using special numerical quadrature rules and carry out a standard duality-based analysis for the resultant approximations. This error represen- tation can be decomposed into various distinct residuals weighted the same dual solution. The success of the latter approach is explained theoretical error analysis of the streamline di usion method; being driven duality 9], 10]), and may lead to an under-stabilised numerical approximation and its Applications, Vol. 4. ESTIMATION METHODS FOR APPROXIMATIONS OF DIFFERENTIAL. EQUATIONS. A posteriori error estimates for the dual mixed method errors arising in iteration processes and in numerical Some Applications of Functional Analysis in Therefore, a priori convergence estimates have mainly a theoretical.
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