Solution of open region electromagnetic scattering problems on hypercube multiprocessors
This thesis focuses on development of parallel algorithms that exploit hypercube multiprocessor computers for the solution of the scattering of electromagnetic fields by bodies situated in an unbounded space. Initially, algorithms based on the method of moments are investigated for coarse-grained MIMD hypercubes as well as finite-grained MIMD and SIMD hypercubes. It is shown that by exploiting the architecture of each hypercube, supercomputer performance can be obtained using the JPL Mark III hypercube and the Thinking Machine's CM2. Second, the use of the finite-element method for solution of the scattering by bodies of composite materials is presented. For finite bodies situated in an unbounded space, use of an absorbing boundary condition is investigated. A method known as the mixed-{chi} formulation is presented, which reduces the mesh density in the regions away from the scatterer, enhancing the use of an absorbing boundary condition. The scattering by troughs or slots is also investigated using a combined FEM/MoM formulation. This method is extended to the problem of the diffraction of electromagnetic waves by thick conducting and/or dielectric gratings. Finally, the adaptation of the FEM method onto a coarse-grained hypercube is presented.
- Research Organization:
- Illinois Univ., Urbana, IL (United States)
- OSTI ID:
- 5194519
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ELECTROMAGNETIC FIELDS
SCATTERING
ELECTROMAGNETIC RADIATION
HYPERCUBE COMPUTERS
COMPUTERIZED SIMULATION
BOUNDARY CONDITIONS
COMPUTER ARCHITECTURE
FINITE ELEMENT METHOD
GRATINGS
MOMENTS METHOD
COMPUTERS
NUMERICAL SOLUTION
RADIATIONS
SIMULATION
661100* - Classical & Quantum Mechanics- (1992-)
990200 - Mathematics & Computers