Book Chapter10.1002/0471654507.EME038
Boundary‐Value Problems
B. Beker,G.J. Cokkinides,Myung Jin Kong +2 more
- 15 Apr 2005
83
TL;DR: In this paper, the use of finite-difference method (FDM) in numerical analysis of boundary value problems associated with primarily static and to some extent quasistatic electromagnetic (EM) fields is discussed.
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Abstract: This article strictly concentrates on the use of the finite-difference method (FDM) in the numerical analysis of boundary value problems associated with primarily static and to some extent quasistatic electromagnetic (EM) fields. Although all examples presented herein deal with EM-related engineering applications, some numerical aspects of FDM are also covered.
The emphasis will be placed on the applications of FDM to three-dimensional boundary value problems involving objects with arbitrary geometric shapes that are composed of complex dielectric materials.
Keywords:
electromagnetic field;
finite-difference method;
boundary value;
electrostatics;
volumetric analysis
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References
•Book
Iterative Methods for Sparse Linear Systems
Yousef Saad
- 01 Apr 2003
TL;DR: This chapter discusses methods related to the normal equations of linear algebra, and some of the techniques used in this chapter were derived from previous chapters of this book.
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.