TY - GEN

T1 - Domain decomposition based h-matrix preconditioners for the skin problem

AU - Khoromskij, Boris N.

AU - Litvinenko, Alexander

PY - 2008/12/1

Y1 - 2008/12/1

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 -