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Licensed Unlicensed Requires Authentication Published by De Gruyter September 10, 2015

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

  • Maksymilian Dryja , Juan Galvis and Marcus Sarkis EMAIL logo

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.

Funding source: NSF MRI

Award Identifier / Grant number: DMS-1337943

Received: 2015-4-14
Revised: 2015-8-8
Accepted: 2015-8-23
Published Online: 2015-9-10
Published in Print: 2015-10-1

© 2015 by De Gruyter

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