banner.jpg
120
Application of Block Preconditioners for Non-Symmetric Linear System Associated with Biot’s Consolidation Analysis
H. H. T. Tran1, K. K. Phoon1 and K. C. Toh2
1Department of Civil & Environmental Engineering, National University of Singapore, Block E1A, #07-03, 1 Engineering Drive 2, Singapore 117576, Singapore. 2Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road,
Singapore 119076, Singapore.
ABSTRACT
Numerical performance of the block diagonal preconditioners Md and the block constrained preconditioners Mc is compared for the iterative solution of the non-symmetric linear system associated with finite element discretization of Biot’s consolidation equations. Preconditioned Induced Dimension Reduction method (IDR(s)) is used with these preconditioners to solve the non-symmetric linear systems. Numerical results from a simple footing shows that Md is more time efficient than Mc. Md formed by the incomplete LU decomposition of the block (1,1) Kep and an inexpensive approximate of the Schur complement S shows the most time efficient. The total iteration time can be reduced further by only updating Md at the start of each load step.
pdflogo.jpg
120