Finite Element Methods for Maxwell's Equations. Peter Monk

Finite Element Methods for Maxwell's Equations


Finite.Element.Methods.for.Maxwell.s.Equations.pdf
ISBN: 0198508883,9780198508885 | 465 pages | 12 Mb


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




It uses classical theory of finite elements. Solving the Maxwell equation for different system configurations is by no mean a trivial task. The Finite Element Method: Theory, Implementation, and Practice. It also handles the theory related to time varying fields and Maxwell's equations that help in understanding the concept of electromagnetic wave and power flow analysis using Poynting theorem. I have downloaded a free software code, Finite Element Method Magnetics (FEMM) solver (see http://www.femm.info/wiki/Download) but it doesn't work because FEMM is limited to solving low frequency electromagnetic problems on two- dimensional planar and axisymmetric domains. 459.GemsFDTD, Fortran-90, Computational Electromagnetics. FEMM addresses some limiting cases of Maxwell's equations. 10.5 Moment Method or Method of Moments. Maxwell's Equations grad, curl, div. It solves the Maxwell equations in 3D in the time domain using the finite-difference time-domain (FDTD) method. Finite element method (FEM) – Differential/ integral functions – Variational method – Energy minimization – Discretisation – Shape functions –Stiffness matrix –1D and 2D planar and axial symmetry problem. Appendix II Physical Constants. Review of basic field theory – electric and magnetic fields – Maxwell's equations – Laplace, Poisson and Helmoltz equations – principle of energy conversion Difference Method. It may also serve to verify the implementations of the numerical methods to solve the Maxwell equations in 3D, such as the finite-difference and finite-element method. Several numerical methods can be employed to solve Maxwell's equations in such multimode cavity. Written in a student-friendly 10.2 Variable Separation Method. Most of them are based on either the finite element method (FEM) or the finite difference method (FDM). SOLUTION OF FIELD EQUATIONS II 9.