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A systematic treatment of the finite element method "Anyone interested in the state of the art in finite element formulations will find this book an interesting read. In particular, I would strongly recommend it to those members of the electromagnetic community who are involved in high-frequency applications." -Measurement Science and Technology The finite element method is one of the preeminent simulation techniques for obtaining solutions to boundary-value problems in mathematical physics. It has applications in a variety of engineering and scientific studies, such as antennas, radar, microwave engineering, high-speed/high-frequency circuits, wireless communication, electro-optical engineering, remote sensing, bioelectromagnetics, and geoelectromagnetics. This Second Edition of an essential text teaches the finite element method for electromagnetic analysis. It offers engineers a methodical way to quickly master this very powerful technique for solving practical, often complicated, engineering problems. This book provides the first systematic treatment of this numerical analysis technique for electromagnetics, including a brief overview of the two classic methods-the Ritz variational method and Galerkin's method-which form the foundation of the finite element function. Employing an example to introduce the concept of the finite element method and describe the essential steps of the technique, the author lays the groundwork for a broad-based understanding of the finite element method's usefulness. He completes his coverage by describing the finite element analysis of one-, two-, and three-dimensional problems, developing for each problem a rigorous finite element solution in general form from which solutions to specific problems can be deduced. Carefully updated to include the most recent developments, the Second Edition now includes new coverage of: * Absorbing boundary conditions * A hybrid technique for pen-region scattering and radiation problems * Eigen

Electromagnetism --- Finite element method --- Electromagnetic waves --- Mathematical models --- Finite element method. --- Mathematical models. --- -Electromagnetism --- -519.63 --- 681.3*G18 --- 537.8 --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Electromagnetic energy --- Electromagnetic radiation --- Electromagnetic theory --- Waves --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Numerical methods for solution of partial differential equations --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Electromagnetism. Electromagnetic field. Electrodynamics. Maxwell theory --- 537.8 Electromagnetism. Electromagnetic field. Electrodynamics. Maxwell theory --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- 519.63 --- 681.3 *G18 --- Electromagnetism - Mathematical models --- Electromagnetic waves - Mathematical models

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Numerical solutions of differential equations --- Finite element method --- Méthode des éléments finis --- 519.6 --- 681.3 *G18 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Finite element method. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Méthode des éléments finis --- Équations différentielles. --- Differential equations. --- Approximation, Théorie de l'. --- Approximation theory. --- Analyse numérique. --- Numerical analysis. --- Éléments finis, Méthode des. --- Monograph --- Approximation, Théorie de l' --- Analyse numérique --- Calcul des variations --- Calcul numerique --- Equations aux derivees partielles --- Calcul d'erreur --- Methodes numeriques

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Stochastic differential equations. --- 519.216 --- 517.9 --- Stochastic differential equations --- 681.3*H35 --- 681.3*H1 --- 681.3*H1 Models and principles (Information systems) --- Models and principles (Information systems) --- 681.3*H35 On-line information services: data bank sharing --- On-line information services: data bank sharing --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.216 Stochastic processes in general. Prediction theory. Stopping times. Martingales --- Stochastic processes in general. Prediction theory. Stopping times. Martingales --- 519.2 --- Differential equations --- Fokker-Planck equation --- Mathematical analysis. --- Analysis (Mathematics). --- Probabilities. --- Mathematical physics. --- System theory. --- Calculus of variations. --- Partial differential equations. --- Analysis. --- Probability Theory and Stochastic Processes. --- Theoretical, Mathematical and Computational Physics. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- Partial Differential Equations. --- Partial differential equations --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Systems, Theory of --- Systems science --- Science --- Physical mathematics --- Physics --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- 517.1 Mathematical analysis --- Mathematical analysis --- Philosophy --- Physics. --- Mathematics. --- System theory --- Math --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics