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Finite Element Methods for Maxwell's Equations Peter Monk
Publisher: Oxford University Press, USA

The system matrix thus can be efficiently solved by the orthogonal finite-element reduction-recovery method. Incorporating Maxwell's equations into the design flow is only possible through the combined power that new algorithms, parallelization and high-speed computing provide. 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. Most of them are based on either the finite element method (FEM) or the finite difference method (FDM). Finite element method (FEM) – Differential/ integral functions – Variational method – Energy minimization – Discretisation – Shape functions –Stiffness matrix –1D and 2D planar and axial symmetry problem. At the same time, incorporation of This talk also focuses on the powerful finite element, finite difference, and method of moments class of solvers, and introduce novel algorithms for high-accuracy solution with dramatic acceleration and scalability. Lated using the true three-dimensional finite-element method for solving Maxwell's equations in the spectral presentation. SOLUTION OF FIELD EQUATIONS II 9. The second fast solver is to accelerate the low-frequency full-wave solution to Maxwell's equation. Solving the Maxwell equation for different system configurations is by no mean a trivial task. Review of basic field theory – electric and magnetic fields – Maxwell's equations – Laplace, Poisson and Helmoltz equations – principle of energy conversion Difference Method.