BDDC and FETI-DP preconditioners for spectral element discretizations of almost incompressible elasticity

Luca F. Pavarino, Olof B. Widlund

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

Abstract

We construct and study a BDDC (Balancing Domain Decomposition by Constraints) algorithm, see [1, 2], for the system of almost incompressible elasticity discretized with Gauss Lobatto Legendre (GLL) spectral elements. Related FETIDP algorithms could be considered as well. We show that sets of primal constraints can be found so that these methods have a condition number that depends only weakly on the polynomial degree, while being independent of the number of subdomains (scalability) and of the Poisson ratio and Youngs modulus of the material considered (robustness).

Original languageEnglish (US)
Title of host publicationSpectral and High Order Methods for Partial Differential Equations - Selected Papers from the ICOSAHOM'09 Conference
Pages479-486
Number of pages8
DOIs
StatePublished - 2011
Event8th International Conference on Spectral and High Order Methods, ICOSAHOM'09 - Trondheim, Norway
Duration: Jun 22 2009Jun 26 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume76 LNCSE
ISSN (Print)1439-7358

Other

Other8th International Conference on Spectral and High Order Methods, ICOSAHOM'09
CountryNorway
CityTrondheim
Period6/22/096/26/09

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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