00000cam a22000004i 4500 UP-1685594773861357103 Buklod 20070906151512.0 g||| | || || v| |||||| 180327s2002 nyua rb |||1 u|eng d 0387954511 (iLib)UPBAG-00000020519 BC-49417 Php4,566.37 DLC BAG rda eng QA 379 B74 2004 Brenner, Susanne C. author. The mathematical theory of finite element methods Susanne C. Brenner, L. Ridgway Scott. Second edition. New York Springer [2002] xv, 361 pages 24 cm text rdacontent unmediated rdamedia volume rdacarrier Texts in applied mathematics 15 With 41 illustrations. Includes bibliographical references and index. Basic concepts -- 1. Sobolev spaces -- 2. Variational formulation of elliptic boundary value problems -- 3. The construction of a finite element space -- 4. Polynomial approximation theory in Sobolev spaces -- 5. n-dimensional variational problems -- 6. Finite element multigrid methods -- 7. Additive Schwarz preconditioners -- 8. Max-norm estimates -- 9. Adaptive meshes -- 10. Variational crimes -- 11. Applications to planar elasticity -- 12. Mixed methods -- 13. Iterative techniques for mixed methods -- 14. Applications of operator-interpolation theory. "This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. This expanded second edition contains new chapters on additive Schwarz preconditioners and adaptive meshes. New exercises have also been added throughout." "The book will be useful to 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"--Jacket. Boundary value problems Numerical solutions. Finite element method Mathematics. Scott, L. Ridgway author. FO UPBAG UPBAG-MAIN QA 379 B74 2004 Book