Finite Element Methods for Eigenvalue Problems
Published on 19. August 2016
367 pages
978-1-315-35515-3 (ISBN)
Description
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.
Reviews / Votes
"Overall the book is well written [...] the authors have done well in balancing the topics basedon their admitted criteria of being either fundamental and appropriate to illustrate
theory or of their own research interests. I highly recommend the book, especially for
the curious graduate student."
-Joe Coyle, Mathematical Reviews, September 2017
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Product notice
Reflowable
Illustrations
63 Tables, black and white; 47 Illustrations, black and white
File size
8,16 MB
ISBN-13
978-1-315-35515-3 (9781315355153)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Jiguang Sun | Aihui Zhou
Finite Element Methods for Eigenvalue Problems
Book
07/2016
1st Edition
Chapman & Hall/CRC
€252.55
Article not available for order
Persons
Jiguang Sun received his B.S. in 1996 from Tsinghua University and Ph.D. in 2005 from the University of Delaware. Currently, he is a professor at Michigan Technological University. His research interests include finite element methods, eigenvalue problems, inverse scattering theory, and electromagnetic methods in geophysics.
Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He received his Ph.D. from the Institute of Systems Science of the Chinese Academy of Sciences in 1991. His research focuses on mathematical understanding and numerical approximation of electronic structure models and related topics.
Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He received his Ph.D. from the Institute of Systems Science of the Chinese Academy of Sciences in 1991. His research focuses on mathematical understanding and numerical approximation of electronic structure models and related topics.
Content
1. Functional Analysis. 2. Finite Elements. 3. Laplace Eigenvalue Problem. 4. Biharmonic Eigenvalue Problem. 5. Maxwell Eigenvalue Problem. 6. Quad-curl Eigenvalue Problem. 7. Transmission Eigenvalue Problem. 8. Schrodinger Eigenvalue Problem. 9. Adaptive Finite Element Approximations. 10. Scattering Resonances. 11. Matrix Eigenvalue Problems. 12. Contour Integral Based EigensolversMatrix Eigenvalue Problems
