A BDDC Preconditioner for the Rotated Q1 FEM for Elliptic Problems with Discontinuous Coefficients
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a BDDC preconditioner for the rotated Q1 finite element method for second order elliptic equations with piecewise but discontinuous coefficients.
In the framework of the standard additive Schwarz methods, we describe this method by a complete variational form.
We show that our method has a quasioptimal convergence behavior; that is, the condition number of the preconditioned problem is independent of the jumps of the coefficients and depends only logarithmically on the ratio between the subdomain size and the mesh size.
Numerical experiments are presented to confirm our theoretical analysis.
American Psychological Association (APA)
Jiang, Yaqin. 2014. A BDDC Preconditioner for the Rotated Q1 FEM for Elliptic Problems with Discontinuous Coefficients. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-504003
Modern Language Association (MLA)
Jiang, Yaqin. A BDDC Preconditioner for the Rotated Q1 FEM for Elliptic Problems with Discontinuous Coefficients. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-504003
American Medical Association (AMA)
Jiang, Yaqin. A BDDC Preconditioner for the Rotated Q1 FEM for Elliptic Problems with Discontinuous Coefficients. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-504003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504003