A two-level nested FETI/FETI-DP domain decomposition method

Ming Feng Xue, Jianming Jin

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

Abstract

The dual primal finite element tearing and interconnecting method (FETI-DP) (Y. J. Li and J. M. Jin, IEEE Trans. Antennas Propagat., vol. 55, no. 10, pp. 2803-2810, 2007) is a stable domain decomposition method when dealing with subdomain conformal meshes for time-harmonic electromagnetic problems. Later, this method is further extended to nonconformal meshes (M. F. Xue and J. M. Jin, IEEE Trans. Antennas Propagat., vol. 60, no. 9, pp. 4291-4305, 2012). To the best of our knowledge, no matter the mesh is conformal or nonconformal, the existing FETI-DP algorithms are limited to the case with a conformal subdomain geometry, which means subdomain interfaces have a one-on-one correspondence. However, in some practical applications, we need to mesh different parts of the entire computational domain (denoted as regions in the following context) separately, and then decompose these separate meshes into subdomains independently. In this case, the connectivity between two subdomains across the region interfaces could be arbitrary; and the existing FETI-DP algorithms are no longer applicable.

Original languageEnglish (US)
Title of host publication2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013 - Proceedings
Number of pages1
DOIs
StatePublished - Dec 1 2013
Event2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013 - Orlando, FL, United States
Duration: Jul 7 2013Jul 13 2013

Publication series

Name2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013 - Proceedings

Other

Other2013 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2013
CountryUnited States
CityOrlando, FL
Period7/7/137/13/13

ASJC Scopus subject areas

  • Computer Networks and Communications

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