Finite Element Methods for Eigenvalue Problems
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A01=Aihui Zhou
A01=Jiguang Sun
advanced eigenvalue problem solutions
algebraic
Algebraic Multiplicity
Arnoldi Factorization
Arnoldi Method
Author_Aihui Zhou
Author_Jiguang Sun
Category=PBKS
computational mathematics
Dirichlet Eigenvalue
discontinuous Galerkin methods
domain
Eigenvalue Problem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
form
Fourth Order Problem
Friedrichs Inequality
functional analysis
Galerkin Orthogonality
generalized
Generalized Eigenvalue Problems
Geometric Multiplicity
graduate level textbook
hilbert
Lagrange Elements
lipschitz
Lipschitz Domain
Local Stiffness Matrix
matrix eigenvalue algorithms
Mixed Fem
numerical linear algebra
Posteriori Error Analysis
QR Method
quotient
rayleigh
Rayleigh Quotient
Rayleigh Quotient Iteration
Reference Triangle
sesquilinear
space
St 2nd 3rd 4th 5th
Transmission Eigenvalue
Transmission Eigenvalue Problem
Triangular Mesh
Unit Ball
Unit Square
Product details
- ISBN 9781482254648
- Weight: 668g
- Dimensions: 156 x 234mm
- Publication Date: 18 Jul 2016
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
