Title :
Approximate matrix factorization using overlapped localizing functions on a shifted tree
Author :
Xu, Xin ; Arcot, Kiran ; Adams, Robert J.
Author_Institution :
Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA
Abstract :
Different types of local global solution (LOGOS) modes have been proposed to develop fast direct solvers for electromagnetic wave problems. While the non-overlapping localizing LOGOS (NL-LOGOS) factorization is provably error controllable, it is more difficult to control the factorization error when using overlapped localizing LOGOS (OL-LOGOS) modes. This paper describes a new procedure for obtaining the OL-LOGOS modes. It is shown that the new procedure provides higher efficiency than the NL-LOGOS factorization while providing improved error control performance.
Keywords :
electromagnetic waves; matrix decomposition; trees (mathematics); LOGOS; electromagnetic wave problems; error control performance; local global solution; matrix factorization; overlapped localizing functions; shifted tree; Canning; Equations; Error correction; Geometry; Matrix decomposition; Pediatrics; Sparse matrices;
Conference_Titel :
Antennas and Propagation Society International Symposium (APSURSI), 2010 IEEE
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-4967-5
DOI :
10.1109/APS.2010.5561989
