Ebook: Finite element methods for eigenvalue problems
Author: Sun Jiguang, Zhou Aihui
- Tags: Eigenvalues., Finite element method., MATHEMATICS / Algebra / Intermediate
- Series: Monographs and research notes in mathematics
- Year: 2017
- Publisher: CRC Press
- Language: English
- epub
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. 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