Title :
Solution of Extremely Large Integral-Equation Problems
Author :
Ergül, Ö ; Malas, T. ; Gürel, L.
Author_Institution :
Bilkent Univ., Ankara
Abstract :
We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with tens of millions of unknowns. Specifically, we report the solution of a closed geometry containing 42 million unknowns and an open geometry containing 20 million unknowns, which are the largest problems of their classes, to the best of our knowledge.
Keywords :
conducting bodies; electromagnetic wave scattering; integral equations; iterative methods; conducting bodies; electromagnetic scattering; extremely large integral-equation problems; iterative method; multilevel fast multipole algorithm; parallelization; preconditioning techniques; Concurrent computing; Electromagnetic scattering; Geometry; Integral equations; Iterative algorithms; MLFMA; Partitioning algorithms; Sampling methods; Switches; Tree data structures;
Conference_Titel :
Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4244-0767-5
Electronic_ISBN :
978-1-4244-0767-5
DOI :
10.1109/ICEAA.2007.4387468