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Approximation of Elliptic Boundary-Value Problems

Aubin, Jean-Pierre

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ISBN 10: 0486457915 / ISBN 13: 9780486457918
Verlag: Dover Publications, Inc., Mineola, NY, U.S.A., 2007
Gebraucht Zustand: Very Good Softcover
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Paperback. First Dover edition: an unabridged reproduction of the 1980 corrected edition, published by Robert E. Kreiger.Minor shelf wear only, contents clean, sound, bright throughout. Buchnummer des Verkäufers 218683a

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Bibliografische Details

Titel: Approximation of Elliptic Boundary-Value ...

Verlag: Dover Publications, Inc., Mineola, NY, U.S.A.

Erscheinungsdatum: 2007

Einband: paperback

Zustand:Very Good

Art des Buches: Used

Über diesen Titel

Inhaltsangabe:

A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed  this combination of methods into the framework of functional analysis and to explain its applications to approximation of nonhomogeneous boundary-value problems for elliptic operators.
The treatment begins with a summary of the main results established in the book. Chapter 1 introduces the variational method and the finite-difference method in the simple case of second-order differential equations. Chapters 2 and 3 concern abstract approximations of Hilbert spaces and linear operators, and Chapters 4 and 5 study finite-element approximations of Sobolev spaces. The remaining four chapters consider several methods for approximating nonhomogeneous boundary-value problems for elliptic operators.

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