Auf Lager:
1
Buch (Hardcover): Fachbuch
The Mathematical Theory of Finite Element Methods
Verlag:
Springer Verlag Unsere-Artikel-Nr.: L9LVQE
EAN: 9780387759333
Auf Lager:
1
Zustellung: Do, 15.10.2026
Versand: Kostenlos
-23.7 %
CHF 135.–
CHF 103.–
Beschreibung
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'e-Friedrichs inequalities for piecewise W^1p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:. - multigrid methods and domain decomposition methods. - mixed methods with applications to elasticity and fluid mechanics. - iterated penalty and augmented Lagrangian methods. - variational "crimes" including nonconforming andisoparametric methods, numerical integration and interior penalty methods. - error estimates in the maximum norm with applications to nonlinear problems. - error estimators, adaptive meshes and convergence analysis of an adaptive algorithm. - Banach-space operator-interpolation techniques. The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a well-done text and a good reference. " (Mathematical Reviews, 1995). "This is an excellent, though demanding, introduction to keymathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area. ". (Zentralblatt, 2002).
Spezifikationen
Sprache
- Englisch
Autor
- Susanne Brenner
- Ridgway Scott
Thema
- Mathematische Analysis: Funktionalanalysis
- Mathematische Numerik: Allgemein
- Angewandte Mathematik: Angewandte Mathematik
- Maschinenbau: Allgemein
- Künstliche Intelligenz: Allgemein
Kollektion
- Texts in Applied Mathematics
Zielgruppe
- Research
Auflage
- 3
Erscheinungsjahr
- 2007
Erscheinungsland
- USA
Format
- Buch (Hardcover)
Anzahl Seiten
- 400