A Schwarz Preconditioner for a Hybridized Mixed Method
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378860151 | ||
| 003 | CHVBK | ||
| 005 | 20180305123344.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128s2003 xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.2478/cmam-2003-0009 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0009 | ||
| 100 | 1 | |a Gopalakrishnan |D Jayadeep |u Department of Mathematics, University of Florida, Gainesville, Florida 32611-8105 | |
| 245 | 1 | 2 | |a A Schwarz Preconditioner for a Hybridized Mixed Method |h [Elektronische Daten] |c [Jayadeep Gopalakrishnan] |
| 520 | 3 | |a In this paper, we provide a Schwarz preconditioner for the hybridized versions of the Raviart-Thomas and Brezzi-Douglas-Marini mixed methods. The preconditioner is for the linear equation for Lagrange multipliers arrived at by eliminating the flux as well as the primal variable. We also prove a condition number estimate for this equation when no preconditioner is used. Although preconditioners for the lowest-order case of the Raviart-Thomas method have been constructed previously by exploiting its connection with a nonconforming method, our approach is different in that we use a new variational characterization of the Lagrange multiplier equation. This allows us to precondition even the higher-order cases of these methods. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a hybridized mixed method |2 nationallicence | |
| 690 | 7 | |a Raviart-Thomas method |2 nationallicence | |
| 690 | 7 | |a Brezzi-Douglas-Marini method |2 nationallicence | |
| 690 | 7 | |a Schwarz domain decomposition |2 nationallicence | |
| 690 | 7 | |a preconditioner |2 nationallicence | |
| 690 | 7 | |a two-level method |2 nationallicence | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 116-134 |x 1609-4840 |q 3:1<116 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0009 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0009 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Gopalakrishnan |D Jayadeep |u Department of Mathematics, University of Florida, Gainesville, Florida 32611-8105 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 116-134 |x 1609-4840 |q 3:1<116 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||