## Finite element method for electromagnetics: antennas, microwave circuits, and scattering applicationsEmployed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. FINITE ELEMENT METHOD FOR ELECTROMAGNETICS begins with a step-by-step textbook presentation of the finite method and its variations then goes on to provide up-to-date coverage of three dimensional formulations and modern applications to open and closed domain problems. Worked out examples are included to aid the reader with the fine features of the method and the implementation of its hybridization with other techniques for a robust simulation of large scale radiation and scattering. The crucial treatment of local boundary conditions is carefully worked out in several stages in the book. Sponsored by: IEEE Antennas and Propagation Society. |

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### Contents

SHAPE FUNCTIONS FOR SCALAR | 37 |

OVERVIEW OF THE FINITE ELEMENT | 65 |

Sample OneDimensional matlab FEM Analysis | 89 |

Copyright | |

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absorbing boundary conditions algorithm analysis Antennas Propagat aperture application approximation artificial absorber basis functions boundary integral cavity Chapter coefficient component computational domain convergence coordinates corresponding cylinder denotes derived dielectric differential equation discretization edge-based eigenvalues electric field electromagnetic element equations element matrix entries eth element example expansion field formulation Figure finite element method geometry given Green's function ground plane higher order IEEE IEEE Trans impedance incidence inhomogeneous integral equation iteration J. L. Volakis magnetic field matrix system Maxwell's equations metallic node-based elements nonzero normal number of unknowns obtained operation count parameters plane wave polarization polynomial preconditioner problem processor radiation rectangular referred scalar scattered field shape functions shown in Fig solution solver solving sparse matrix structures surface tangential tetrahedral element three-dimensional tion triangle triangular element two-dimensional vector basis functions vector wave equation volume wave equation waveguide zero