Finite Element Methods for Eigenvalue Problems

✍ Scribed by Sunl, Jiguang; Zhou, Aihui

• Publisher: Chapman and Hall/CRC
• Year: 2017
• Tongue: English
• Leaves: 368
• Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Content: 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 Schroedinger Operator. The Transmission Eigenvalue Problems. Techniques for Matrix Eigenvalue Problems. Appendix.

✦ Subjects

Éléments finis, Méthode des.