Solving large complex problems using a higher order basis: Parallel out-of-core integral equation solvers involving a million unknowns

T. K. Sarkar, Y. Zhang, D. Garcia Donoro, H. Moon, M. Salazar-Palma, S. W. Ting

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The future of computational electromagnetics is CHANGING DRASTICALLY with the new generation of computer chips which are multi-core instead of single core. Previously, advancements in chip technology meant an increase in clock speed, which was typically a benefit that computational code users could enjoy. This is no longer the case. In the new roadmaps for chip manufacturers, speed has been sacrificed for improved power consumption and the direction is multi-core processors. The burden now falls on the software programmer to revamp existing codes and add new functionality to enable computational codes to run efficiently on this new generation of multi-core processors. In this paper, a new roadmap for computational code designers is provided, demonstrating how to navigate along with the chip designers through the multi-core advancements in chip design. A new parallel out-of-core solver code termed HOBBIES using the Method of Moments (MoM) and higher order functions for expansion and testing will illustrate this roadmap. The advantage of a higher order basis over a subdomain basis is a reduction in the number of unknowns. This means that with the same computer resources, a larger problem can be solved using higher order basis than using a subdomain basis. It is illustrated how to solve a million by million complex matrix equation using a parallel out-of-core solver using modest computational resources.

Original languageEnglish (US)
Title of host publication2014 IEEE International Wireless Symposium, IWS 2014
PublisherIEEE Computer Society
ISBN (Print)9781479934034
DOIs
StatePublished - Jan 1 2014
Event2014 IEEE International Wireless Symposium, IWS 2014 - Xi'an, China
Duration: Mar 24 2014Mar 26 2014

Publication series

Name2014 IEEE International Wireless Symposium, IWS 2014

Other

Other2014 IEEE International Wireless Symposium, IWS 2014
CountryChina
CityXi'an
Period3/24/143/26/14

Keywords

  • Computational electromagnetics
  • Method of Moments
  • Million unknowns
  • Out-of-core solver
  • parallel computation

ASJC Scopus subject areas

  • Computer Networks and Communications

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    Sarkar, T. K., Zhang, Y., Donoro, D. G., Moon, H., Salazar-Palma, M., & Ting, S. W. (2014). Solving large complex problems using a higher order basis: Parallel out-of-core integral equation solvers involving a million unknowns. In 2014 IEEE International Wireless Symposium, IWS 2014 [6864274] (2014 IEEE International Wireless Symposium, IWS 2014). IEEE Computer Society. https://doi.org/10.1109/IEEE-IWS.2014.6864274