Thursday,
October 17, 1996, 3:05 p.m. in PSA Room 109
Ali R. Baghai-Wadji
Motorola Inc. and Department of Mathematics
Recent Analytical and Numerical Advances in Accurate and Fast
Solution of PDEs in Engineering Applications
Abstract
Analysis and design of micron and submicron electronic devices require
techniques which are both accurate and fast. In this presentation recent
efforts concerning this objective are discussed.
The presentation consists of six parts:
(1) A noval symbolic notation for a simply-by-inspection conversion of a
variety of PDEs into equivalent eigenforms is introduced.
(2) A new approach for constructing fundamental solutions (Green s
functions, radiation density functions) of boundary value problems is
presented. This approach combines the governing equations, constitutive
equations and the boundary equations into one convenient operator equation.
(3) A heuristic-rigorous proof for the convexity of certain secular
equations of PDEs is presented, and the existence of a dispersion curve with
vanishingly small radius has been pointed out.
(4) Integral equations are established to solve boundary value problems .
(5) The recently proposed Fast-MoM is applied to discretize
frequency-dependent integral equations.
(6) Simulation results are validated by comparing them with experimental
data.
