Frequency domain hybrid finite element methods for electromagnetics
Morgan & Claypool Publishers, 2006 - Science - 148 pages
This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.
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TwoDimensional Hybrid FEBI
Formulation and Applications
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anisotropic Antennas Propag applications array bandwidth basis functions boundary conditions boundary elements boundary integral Chapter coating computational consider convergence coordinate vectors corresponding curl conforming curvilinear cylinder defined depicted in Fig design optimization design variables dielectric sphere discretization divergence conforming domain electric and magnetic electric field equivalent example FE-BI formulation FE-BI method FE-BI system FIGURE finite element method frequency genetic algorithms geometry global Green's function H(Curl high contrast Hilbert space IEEE IEEE Trans impedance inhomogeneous integral equation iterations J. L. Volakis junction resolution algorithm Koulouridis layer linear magnetic field matrix Maxwell's equations metamaterial Multiobjective optimization objective function Observation Angle operator parameters patch antenna PDEs periodic structures permittivity radiation radius scattering sesquilinear form shown in Fig Sobolev spaces solver substrate surface currents techniques testing functions Theorem TM polarization unit cell variational form vector functions VSIE