Finite Element Methods for Eigenvalue Problems

AvJiguang Sun,Aihui Zhou

Inbunden, Engelska, 2016

Del i serien Chapman & Hall/CRC Monographs and Research Notes in Mathematics

2 302 kr

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Inbunden

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-07-18
Mått:156 x 234 x 27 mm
Vikt:668 g
Format:Inbunden
Språk:Engelska
Serie:Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Antal sidor:343
Förlag:Taylor & Francis Inc
ISBN:9781482254648

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

"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

Innehållsförteckning

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