Finite Element Methods for Eigenvalue Problems

1. Auflage 2016
ISBN: 978-1-4822-5464-8
Verlag: Apple Academic Press Inc.

Buch, Englisch, 367 Seiten, Format (B × H): 154 mm x 236 mm, Gewicht: 665 g

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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.

Autoren/Hrsg.

Sun, Jiguang

Zhou, Aihui

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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

Über Autor(innen)

Aihui Zhou, Jiguang Sun