J. T. Oden, J. N. Reddy

An Introduction to the Mathematical Theory of Finite Elements (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations.
J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 448
• Erscheinungstermin: 25. April 2012
• Englisch
• ISBN-13: 9780486142210
• Artikelnr.: 40022269

Autorenporträt

J. T. Oden and J. N. Reddy

Inhaltsangabe

1. Introduction 2. Distributions, Mollifiers, and Mean Functions 3. Theory of Sobolev Spaces 4. Hilbert Space Theory of Traces and Intermediate Spaces 5. Some Elements of Elliptic Theory 6. Finite
Element Interpolation 7. Variational Boundary
Value Problems 8. Finite
Element Approximations of Elliptic Boundary
Value Problems 9. Time
Dependent Problems Author Index Subject Index