Finite Element Methods for Eigenvalue Problems (Chapman & Hall/crc Monographs and Research Notes in Mathematics) （2ND）

Sun, Jiguang/ Zhou, Aihui

Chapman & Hall/CRC（2026/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 382 p.
• 言語 ENG
• 商品コード 9781032983028

Full Description

Praise for the previous edition

"I highly recommend the book, especially for the curious graduate student."

—Joe Coyle, Mathematical Reviews

Finite Element Methods for Eigenvalue Problems 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.

New to the second edition

· Two brand new chapters

· Copious revisions of existing chapters

· Revised references throughout.

Contents

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 Schrödinger Eigenvalue Problem . 9 Adaptive Finite Element Approximations . 10 Scattering Resonances. 11 Matrix Eigenvalue Problems. 12 Contour Integral Based Eigensolvers.