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OverviewA 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. Full Product DetailsAuthor: Jean-Pierre AubinPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.90cm , Height: 1.90cm , Length: 21.60cm Weight: 0.386kg ISBN: 9780486457918ISBN 10: 0486457915 Pages: 356 Publication Date: 27 February 2007 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Out of Stock Indefinitely Availability: Out of stock Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |