Texts in Applied Mathematics

Numerical Approximation of Partial Differential Equations

Autoren: Bartels, Sören

Vorschau
  • Matlab implementations illustrate the devised methods
  • Problems, projects, and quizzes allow for self-evaluation
  • Includes theoretical and physical backgrounds of mathematical models
Weitere Vorteile

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eBook 50,28 €
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  • ISBN 978-3-319-32354-1
  • Versehen mit digitalem Wasserzeichen, DRM-frei
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Hardcover 90,94 €
Preis für Deutschland (Brutto)
Softcover 64,19 €
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Über dieses Lehrbuch

Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.

Über die Autor*innen

Sören Bartels is Professor of Applied Mathematics at the Albert-Ludwigs University in Freiburg, Germany. His primary research interest is in the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of modern materials. Professor Bartels has published the Springer textbook "Numerik 3x9" and the monograph "Numerical methods for nonlinear partial differential equations" in the Springer Series in Computational Mathematics.

Inhaltsverzeichnis (8 Kapitel)

Inhaltsverzeichnis (8 Kapitel)

Dieses Buch kaufen

eBook 50,28 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-32354-1
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 90,94 €
Preis für Deutschland (Brutto)
Softcover 64,19 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Numerical Approximation of Partial Differential Equations
Autoren
Titel der Buchreihe
Texts in Applied Mathematics
Buchreihen Band
64
Copyright
2016
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing Switzerland
eBook ISBN
978-3-319-32354-1
DOI
10.1007/978-3-319-32354-1
Hardcover ISBN
978-3-319-32353-4
Softcover ISBN
978-3-319-81265-6
Buchreihen ISSN
0939-2475
Auflage
1
Seitenzahl
XV, 535
Anzahl der Bilder
170 schwarz-weiß Abbildungen
Themen