Finite element methods for eigenvalue problems

✍ Scribed by Sun, Jiguang; Zhou, Aihui

• Publisher: CRC Press
• Year: 2017
• Tongue: English
• Leaves: 343
• Series: Monographs and research notes in mathematics
• 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. Read more...

Abstract: 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: Functional analysis --
Finite elements --
The laplace eigenvalue problem --
The biharmonic eigenvalue problem --
The Maxwell's eigenvalue problem --
The transmission eigenvalue problem --
The Schrödinger eigenvalue problem --
Adaptive finite element approximations --
Matrix eigenvalue problems --
Integral based eigensolvers.

✦ Subjects

Eigenvalues.;Finite element method.;MATHEMATICS / Algebra / Intermediate