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A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations: 8 (Advances in Mechanics and Mathematics) - Tapa dura
Sinopsis
This work 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 var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.
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De la contraportada
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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A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations (Advances in Mechanics and Mathematics, 8)
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Gebunden. Condición: New. There is no other book of its kindThis work 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 nonlin. Nº de ref. del artículo: 5909261
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A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations
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Springer-Verlag New York Inc., 2004
ISBN 10: 0387235361
ISBN 13: 9780387235363
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Posteriori Error Analysis Via Duality Theory
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Springer-Verlag New York Inc., 2004
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ISBN 13: 9780387235363
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Condición: New. 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. Many examples are included to show the usefulness of the derived error estimates. Series: Advances in Mechanics and Mathematics. Num Pages: 302 pages, 52 black & white illustrations, biography. BIC Classification: TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 19. Weight in Grams: 625. . 2004. Hardback. . . . . Nº de ref. del artículo: V9780387235363
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A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations (Advances in Mechanics and Mathematics, 8)
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A Posteriori Error Analysis Via Duality Theory (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 2004
ISBN 10: 0387235361
ISBN 13: 9780387235363
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Hardcover. Condición: new. Hardcover. This work 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 var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2. This work 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 var- tional problems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780387235363
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