Jump to ContentJump to Main Navigation
Show Summary Details
In This Section

Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year


IMPACT FACTOR 2016: 1.097

CiteScore 2016: 1.09

SCImago Journal Rank (SJR) 2015: 0.997
Source Normalized Impact per Paper (SNIP) 2015: 0.683

Mathematical Citation Quotient (MCQ) 2015: 0.68

Print + Online
See all formats and pricing
In This Section
Volume 15, Issue 4 (Oct 2015)

Issues

A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method

Maksymilian Dryja
  • Department of Informatics, Vistula University, Stoklosy 3, 02-787 Warsaw, Poland
  • Email:
/ Juan Galvis
  • Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
  • Email:
/ Marcus Sarkis
  • Corresponding author
  • Department of Mathematical Sciences at Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, USA
  • Email:
Published Online: 2015-09-10 | DOI: https://doi.org/10.1515/cmam-2015-0025

Abstract

In this paper, we present and analyze a FETI-DP solver with deluxe scaling for a Nitsche-type discretization [Comput. Methods Appl. Math. 3 (2003), 76–85], [SIAM J. Numer. Anal. 49 (2011), 1761–1787] based on a discontinuous Galerkin (DG) method for elliptic two-dimensional problems with discontinuous coefficients and non-matching meshes only across subdomains. We establish a condition number estimate for the preconditioned linear system which is scalable with respect to the number of subdomains, is quasi-optimal polylogarithmic with respect to subdomain mesh size, and is independent of coefficient discontinuities and ratio of mesh sizes across subdomain interfaces. Numerical experiments support the theory and show that the deluxe scaling improves significantly the performance over classical scaling.

Keywords: Interior Penalty Discretization; Discontinuous Galerkin; Elliptic Problems with Discontinuous Coefficients; Finite Element Method; FETI-DP Algorithms; Preconditioners; Deluxe

MSC: 65F10; 65N20; 65N30

About the article

Received: 2015-04-14

Revised: 2015-08-08

Accepted: 2015-08-23

Published Online: 2015-09-10

Published in Print: 2015-10-01


Funding Source: NSF MRI

Award identifier / Grant number: DMS-1337943



Citation Information: Computational Methods in Applied Mathematics, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2015-0025. Export Citation

Comments (0)

Please log in or register to comment.
Log in