Eigenvalue Projection Theory for Linear Operator Equations of Electromagnetics.
Abstract
Equations representing realistic electromagnetics problems seldom yield exact solutions, and thus are usually treated numerically. In general, a discretization procedure such as the method of moments (also known as the weighted residual method) is used to convert the original continuous equation to a finite-dimensional matrix equation. A theory is presented that demonstrates the relation between the eigenvalue spectrum of the original, continuous operator and the eigenvalues of the method-of-moments matrix. In addition, an equivalence between the finite difference method and the method of moments is developed that permits the theory to be applied to finite-difference equations. Examples involving differential and integral equations are used to confirm the theory and to illustrate the typical eigenvalue spectrum arising in electromagnetic field problems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1987
- Accession Number
- ADA185434
Entities
People
- A. F. Peterson
Organizations
- University of Illinois Urbana–Champaign