Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems
Date
2011Source Title
CEM'11 Computational Electromagnetics International Workshop
Publisher
IEEE
Pages
136 - 139
Language
English
Type
Conference PaperItem Usage Stats
216
views
views
140
downloads
downloads
Abstract
This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent developments in parallel algorithms and high-performance computers, these problems can easily be solved with unprecedented levels of accuracy and detail. For example, using a parallel implementation of the multilevel fast multipole algorithm (MLFMA), we are able to solve electromagnetics problems discretized with hundreds of millions of unknowns. Unfortunately, as the problem size grows, it becomes difficult to assess the accuracy and efficiency of the solutions, especially when comparing different implementations. This paper presents our efforts to solve extremely large electromagnetics problems with an emphasis on accuracy and efficiency. We present a list of benchmark problems, which can be used to compare different implementations for large-scale problems. © 2011 IEEE.
Keywords
Bench-mark problemsDense matrices
Electromagnetics
High-performance computers
Large-scale problem
Multilevel fast multipole algorithms
Parallel implementations
Problem size
Algorithms
Computational electromagnetics
Efficiency
Electromagnetism
Matrix algebra
Problem solving
Permalink
http://hdl.handle.net/11693/28333Published Version (Please cite this version)
http://dx.doi.org/10.1109/CEM.2011.6047347Collections
Related items
Showing items related by title, author, creator and subject.
-
Terrain visibility and guarding problems
Eliş, Haluk (Bilkent University, 2017-11)Watchtowers are located on terrains to detect fires, military units are deployed to watch the terrain to prevent infiltration, and relay stations are placed such that no dead zone is present on the terrain to maintain ... -
A distance-limited continuous location-allocation problem for spatial planning of decentralized systems
Gokbayrak, K.; Kocaman, A. S. (Elsevier, 2017)We introduce a new continuous location-allocation problem where the facilities have both a fixed opening cost and a coverage distance limitation. The problem has wide applications especially in the spatial planning of water ... -
Duality, area-considerations, and the Kalai–Smorodinsky solution
Karagözoğlu, E.; Rachmilevitch, S. (Elsevier, 2017)We introduce a new solution concept for 2-person bargaining problems, which can be considered as the dual of the Equal-Area solution (EA) (see Anbarcı and Bigelow (1994)). Hence, we call it the Dual Equal-Area solution ...