Pavel B. Bochev, Max D. Gunzburger

Least-Squares Finite Element Methods (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is written to provide a common, mathematically sound foundation for least-squares finite element methods. It is intended to give both the researcher and the practitioner a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 660
• Erscheinungstermin: 28. April 2009
• Englisch
• ISBN-13: 9780387689227
• Artikelnr.: 37286210

Inhaltsangabe

Part I. Survey of Variational Principles and Associated Finite Element Methods. Classical Variational Methods. Alternative Variational Formulations.- Part II. Abstract Theory of Least-Squares Finite Element Methods. Mathematical Foundations. First-Order Agmon-Douglis-Nirenberg Systems.- Part III. Least-Squares Methods for Elliptic Problems. Basic First-Order Systems. Application to Key Elliptic Problems.- Part IV. Extensions of Least-Squares Methods to other Problems. The Navier-Stokes Equations. Dissipative Time Dependent Problems. Hyperbolic Problems. Control and optimization Problems. Other Topics.- Part V. Supplementary Material.- A. Analysis Tools. B. Finite Element Spaces. C. Discrete Norms and Operators. D. The Complementing Condition.

Rezensionen

From the reviews: "In the book under review, the authors give a unified and comprehensive treatment of least-squares finite element methods and discuss important implementation issues that are critical to their success in practice. ... This book is valuable both for researchers and practitioners working in least-squares finite element methods. ... In addition, others will find it a great reference for learning about the theory and implementation of the least-squares finite element methods." (Tsu-Fen Chen, Mathematical Reviews, Issue 2010 b)