A Simplification of the RitzGenEO Recycling Strategy for Adaptive Multi‐Preconditioned FETI Applied to Multiple Right‐Hand Sides. Issue 1 (17th December 2018)

• Record Type: Journal Article
• Authors: Leistner, Michael C.; Gosselet, Pierre; Rixen, Daniel J.
• Other Names: Müller G. guestEditor.; Ulbrich M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 18:Issue 1(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-12-17
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201800204
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: In this article, a method to accelerate the solution of multiple right‐hand side problems when using the adaptive multi‐preconditioned finite element tearing and interconnecting algorithm is presented. This is done by deflating the conjugate gradient algorithm by means of a coarse space, which is built by a simplification of the recently published RitzGenEO method. While the proposed method no longer requires to solve local eigenproblems, it is able to maintain a significant part of the reduction in computational cost. Numerical results show a comparison of the methods and appropriate applications for either method are discussed.