TY - GEN
T1 - Domain decomposition based h-matrix preconditioners for the skin problem
AU - Khoromskij, Boris N.
AU - Litvinenko, Alexander
PY - 2008
Y1 - 2008
N2 - In this paper we propose and analyse a new hierarchical Cholesky (HCholesky) factorization based preconditioner for iterative solving the elliptic equations with highly jumping coefficients arising in the so-called skin-modeling problem in 3D [8]. First, we construct the block-diagonal approximation to the FE stiffness matrix, which is well suited to the -perforated- structure of the coefficients. We apply the H-Cholesky factorization of this block-diagonal matrix as a preconditioner in the PCG iteration. It is shown that the new preconditioner is robust with respect to jumps in the coefficients and it requires less storage and computing time than the standard H-Cholesky factorization.
AB - In this paper we propose and analyse a new hierarchical Cholesky (HCholesky) factorization based preconditioner for iterative solving the elliptic equations with highly jumping coefficients arising in the so-called skin-modeling problem in 3D [8]. First, we construct the block-diagonal approximation to the FE stiffness matrix, which is well suited to the -perforated- structure of the coefficients. We apply the H-Cholesky factorization of this block-diagonal matrix as a preconditioner in the PCG iteration. It is shown that the new preconditioner is robust with respect to jumps in the coefficients and it requires less storage and computing time than the standard H-Cholesky factorization.
UR - http://www.scopus.com/inward/record.url?scp=78651586970&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-75199-1_17
DO - 10.1007/978-3-540-75199-1_17
M3 - Conference contribution
AN - SCOPUS:78651586970
SN - 9783540751984
T3 - Lecture Notes in Computational Science and Engineering
SP - 175
EP - 182
BT - Domain Decomposition Methods in Science and Engineering XVII
T2 - 17th International Conference on Domain Decomposition Methods
Y2 - 3 July 2006 through 7 July 2006
ER -