Title Time-domain finite element methods for Maxwell's equations in metamaterials / Jichun Li, Yunqing Huang

Published Berlin ; New York : Springer, ©2013

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Description 1 online resource Series Springer series in computational mathematics, 0179-3632 ; 43 Springer series in computational mathematics ; 43. Contents Introduction to Metamaterials -- Introduction to Finite Element Methods -- Time-Domain Finite Element Methods for Metamaterials -- Discontinuous Galerkin Methods for Metamaterials -- Superconvergence Analysis for Metamaterials -- A Posteriori Error Estimation -- A Matlab Edge Element Code for Metamaterials -- Perfectly Matched Layers -- Simulations of Wave Propagation in Metamaterials Introduction to Metamaterials -- Introduction to Finite Element Methods -- Time-Domain Finite Element Methods for Metamaterials -- Discontinuous Galerkin Methods for Metamaterials -- Superconvergence Analysis for Metamaterials -- A Posteriori Error Estimation -- A Matlab Edge Element Code -- Perfectly Matched Layers -- Simulation of Metamaterials -- References -- Index Summary 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 Analysis Mathematics Computer simulation Computer science -- Mathematics Engineering mathematics Computational Science and Engineering Appl. Mathematics/Computational Methods of Engineering Simulation and Modeling Computational Mathematics and Numerical Analysis Bibliography Includes bibliographical references and index Subject Maxwell equations. Finite element method. Time-domain analysis. Metamaterials -- Mathematics SCIENCE -- Energy. SCIENCE -- Mechanics -- General. SCIENCE -- Physics -- General. Ecuaciones de Maxwell Método de elementos finitos Finite element method Maxwell equations Time-domain analysis Metamaterial Maxwellsche Gleichungen Finite-Elemente-Methode Form Electronic book Author Huang, Yunqing, 1962- ISBN 9783642337895 3642337899

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