Finite Element Methods for Eigenvalue Problems

Zusatztext "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 illustratetheory or of their own research interests. I highly recommend the book! especially forthe curious graduate student."-Joe Coyle! Mathematical Reviews! September 2017 Informationen zum Autor Aihui Zhou, Jiguang Sun Zusammenfassung 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. Inhaltsverzeichnis Introduction of Eigenvalue Problems. Preliminaries. Finite Elements. The Laplacian Eigenvalue Problems. The Maxwell’s Eigenvalue Problems. The Bi-Harmonic and Quad-Curl Eigenvalue Problems. Eigenvalue Problems of Schrödinger Operator. The Transmission Eigenvalue Problems. Techniques for Matrix Eigenvalue Problems. Appendix.

Product details

• Authors: Jiguang Sun, Jiguang (Michigan Technological University Sun, Sun Jiguang, Aihui Zhou, Zhou Aihui
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 18.07.2016
• EAN: 9781482254648
• ISBN: 978-1-4822-5464-8
• No. of pages: 343
• Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Numerical Analysis, Numerical analysis