Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials by Jichun Li
The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell's equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterials present great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue and is the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwell's equations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials.-
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Introduction to Shape Optimization
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Numerical Methods for Two-phase Incompressible Flows
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Spectral Methods
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The Graduate Student's Guide to Numerical Analysis '98
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The Linearization Method for Constrained Optimization
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Hilbert Space Splittings and Iterative Methods
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The Concept of Stability in Numerical Mathematics
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Monotone Discretizations for Elliptic Second Order Partial Differential Equations
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Boundary Element Methods
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History of Continued Fractions and Padé Approximants
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Method of Difference Potentials and Its Applications
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Newton Methods for Nonlinear Problems
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High Order Difference Methods for Time Dependent PDE
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Logarithmic Norms
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Minimization Methods for Non-Differentiable Functions
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Numerical Toolbox for Verified Computing I
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Hierarchical Matrices: Algorithms and Analysis
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Mixed and Hybrid Finite Element Methods
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Solving Elliptic Problems Using ELLPACK
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Discrete Iterations
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Numerical Techniques for Stochastic Optimization
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Numerical Continuation Methods
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Krylov Methods for Nonsymmetric Linear Systems
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Progress in Approximation Theory
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Sequence Transformations
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Nonlinear Approximation Theory
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Moduli of Smoothness
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Numerical Methods Based on Sinc and Analytic Functions
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Krylov Subspace Methods for Linear Systems
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Advanced Boundary Element Methods
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Retarded Potentials and Time Domain Boundary Integral Equations
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Numerical Modeling in Materials Science and Engineering
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Robust Numerical Methods for Singularly Perturbed Differential Equations
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Finite Element Methods for Incompressible Flow Problems
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Solving Ordinary Differential Equations I
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Solving Ordinary Differential Equations II
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Tensor Spaces and Numerical Tensor Calculus
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Matrix Iterative Analysis
From the reviews:
“The book is rigorous, clearly presented, and written for researchers as well as graduate students in the fields of mathematics, computing, physics, engineering, material sciences, and opticsIt helps the reader to get deeper insight and better understanding of actual mathematical and computational problems in the field of metamaterial simulations.” (Gunther Schmidt, zbMATH, Vol. 1304, 2015)
“The book is devoted to simulations of electromagnetic phenomena in metamaterials by using the finite element method (FEM). … The book is rigorous, clearly presented, and written for research mathematicians as well as graduate students in the fields of mathematics, physics, engineering, material sciences, and optics. Its pedagogical style allows the reader to get a better understanding of the mathematical analysis and metamaterial simulations.” (Barbara Zubik-Kowal, Mathematical Reviews, October, 2013)| SKU | Unavailable |
| ISBN 13 | 9783642337888 |
| ISBN 10 | 3642337880 |
| Title | Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials |
| Author | Jichun Li |
| Series | Springer Series In Computational Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer |
| Year published | 2012-12-14 |
| Number of pages | 304 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |