The Mathematical Theory of Finite Element Methods, 3. udgave

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Viser: The Mathematical Theory of Finite Element Methods

The Mathematical Theory of Finite Element Methods

Susanne C. Brenner og L. Ridgway Scott

(2007)

Sprog: Engelsk

Springer New York

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3. Udgave
Hardback: 397 sider
Udgiver: Springer New York (December 2007)
Forfattere: Susanne C. Brenner og L. Ridgway Scott
ISBN: 9780387759333

Beskrivelse
Indhold

This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for 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. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.

Basic Concepts.- Sobolev Spaces.- Variational Formulation of Elliptic Boundary Value Problems.- The Construction of a Finite Element Space.- Polynomial Approximation Theory in Sobolev Spaces.- n-Dimensional Variational Problems.- Finite Element Multigrid Methods.- Additive Schwarz Preconditioners.- Max--norm Estimates.- Adaptive Meshes.- Variational Crimes.- Applications to Planar Elasticity.- Mixed Methods.- Iterative Techniques for Mixed Methods.- Applications of Operator-Interpolation Theory.

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The Mathematical Theory of Finite Element Methods

Susanne C. Brenner og L. Ridgway Scott

(2007)

Sprog: Engelsk

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Viser: The Mathematical Theory of Finite Element Methods

The Mathematical Theory of Finite Element Methods

Susanne C. Brenner og L. Ridgway Scott

(2007)

Sprog: Engelsk

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