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A Posteriori Error Analysis via Duality Theory : With Applications in Modeling and Numerical Approximations /

By: Han, Weimin [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Advances in Mechanics and Mathematics: 8Publisher: Boston, MA : Springer US, 2005.Description: XVI, 302 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387235370.Subject(s): Mathematics | Numerical analysis | Mathematics | Numerical AnalysisDDC classification: 518 Online resources: Click here to access online
Contents:
Preliminaries -- Elements of Convex Analysis, Duality Theory -- A Posteriori Error Analysis for Idealizations in Linear Problems -- A Posteriori Error Analysis for Linearizations -- A Posteriori Error Analysis for Some Numerical Procedures -- Error Analysis for Variational Inequalities of the Second Kind.
In: Springer eBooksSummary: This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates. Audience This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.
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E books E books PK Kelkar Library, IIT Kanpur
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Preliminaries -- Elements of Convex Analysis, Duality Theory -- A Posteriori Error Analysis for Idealizations in Linear Problems -- A Posteriori Error Analysis for Linearizations -- A Posteriori Error Analysis for Some Numerical Procedures -- Error Analysis for Variational Inequalities of the Second Kind.

This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates. Audience This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.

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