TY - GEN
T1 - Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients
AU - Efendiev, Yalchin
AU - Galvis, Juan
AU - Vassilevski, Panayot S.
N1 - Funding Information:
§ The work of this author was performed under the auspices of the U.S. DOE by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.
Funding Information:
‡ The work of Y.E. is partially supported by NSF and DOE.
PY - 2010
Y1 - 2010
N2 - We apply a recently proposed [5] robust overlapping Schwarz method with a certain spectral construction of the coarse space in the setting of element agglomeration algebraic multigrid methods (or agglomeration AMGe) for elliptic problems with high-contrast coefficients. Our goal is to design multilevel iterative methods that converge independent of the contrast in the coefficients. We present simplified bounds for the condition number of the preconditioned operators. These bounds imply convergence that is independent of the contrast. In the presented preliminary numerical tests, we use geometric agglomerates; however, the algorithm is general and offers some simplifications over the previously proposed spectral agglomerate AMGe methods (cf., [3, 2]).
AB - We apply a recently proposed [5] robust overlapping Schwarz method with a certain spectral construction of the coarse space in the setting of element agglomeration algebraic multigrid methods (or agglomeration AMGe) for elliptic problems with high-contrast coefficients. Our goal is to design multilevel iterative methods that converge independent of the contrast in the coefficients. We present simplified bounds for the condition number of the preconditioned operators. These bounds imply convergence that is independent of the contrast. In the presented preliminary numerical tests, we use geometric agglomerates; however, the algorithm is general and offers some simplifications over the previously proposed spectral agglomerate AMGe methods (cf., [3, 2]).
UR - http://www.scopus.com/inward/record.url?scp=78651547918&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-11304-8_47
DO - 10.1007/978-3-642-11304-8_47
M3 - Conference contribution
AN - SCOPUS:78651547918
SN - 9783642113031
T3 - Lecture Notes in Computational Science and Engineering
SP - 407
EP - 414
BT - Domain Decomposition Methods in Science and Engineering XIX
T2 - 19th International Conference on Domain Decomposition, DD19
Y2 - 17 August 2009 through 22 August 2009
ER -