Application of Massively Parallel Computation to
Integral Equation Models of Electromagnetic Scattering
- Tom Cwik
- Jet Propulsion Laboratory
- California Institute of Technology
- Pasadena, CA 91109
- Robert A. van de Geijn
- Department of Computer Sciences
- University of Texas
- Austin, TX 78712
- Jean Patterson
- Jet Propulsion Laboratory
- California Institute of Technology
- Pasadena, CA 91109
Abstract
Integral equation methods are widely used in the analysis and the
design of electromagnetic systems. Traditionally, the limiting parts
of the simulation have been the memory required for storing the dense
matrix and the computational time required for solving the matrix
equations. We report on the extension of integral equation solutions
to new wavelenght regimes and on completion of the solution in an
amount of time that is practical for engineering applicatons. The
numerical solution of the intergral equation is computed on scalable,
distributed-memory parallel computers. Essential to the numerical
solution was the development of a complex-valued, highly optimized,
dense-matrix equation solution algorithm for scalable machines. A
portion of the research outlined is the development of this
production-level library routine for the solution of linear equations
on prallel computers. A convenient interface, useful for integral
equation solutions, among others, was specifically developed in this
study. This algorithm has the conveniences offered by the sequential
libraries, can be easily ported between parallel platforms, and has
been placed in the public domain.
Tom Cwik, Robert van de Geijn, and Jean Patterson, ``The Application
of Parallel Computation to Integral Equation Models of Electromagnetic
Scattering,'' Journal of the Optical Society of America A ,
Vol. 11, No. 4, pp.
1538-1545, April 1994.
Related Software
Complex Dense
Linear Solver