Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem

Xi, Chen / Phoon, Kok-Kwang / Toh, Kim-Chuan

The finite element discretization of time-dependent Biot's coupled consolidation equations typically gives rise to large symmetric indefinite linear systems. This paper reviews several symmetric indefinite preconditioners developed recently which can be used in conjunction with symmetric iterative methods such as SQMR or PCG. A numerical example shows that SQMR methods preconditioned by the proposed preconditioners are significantly more efficient time-wise than direct solution methods such as multifrontal solver (MA47, HSL2000) for large-scale symmetric indefinite linear systems.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem

Xi, Chen / Phoon, Kok-Kwang / Toh, Kim-Chuan

The finite element discretization of time-dependent Biot's coupled consolidation equations typically gives rise to large symmetric indefinite linear systems. This paper reviews several symmetric indefinite preconditioners developed recently which can be used in conjunction with symmetric iterative methods such as SQMR or PCG. A numerical example shows that SQMR methods preconditioned by the proposed preconditioners are significantly more efficient time-wise than direct solution methods such as multifrontal solver (MA47, HSL2000) for large-scale symmetric indefinite linear systems.

Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem

Xi, Chen / Phoon, Kok-Kwang / Toh, Kim-Chuan

The finite element discretization of time-dependent Biot's coupled consolidation equations typically gives rise to large symmetric indefinite linear systems. This paper reviews several symmetric indefinite preconditioners developed recently which can be used in conjunction with symmetric iterative methods such as SQMR or PCG. A numerical example shows that SQMR methods preconditioned by the proposed preconditioners are significantly more efficient time-wise than direct solution methods such as multifrontal solver (MA47, HSL2000) for large-scale symmetric indefinite linear systems.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem

Contributors:

Xi, Chen (author) / Phoon, Kok-Kwang (author) / Toh, Kim-Chuan (author)

Conference:

GeoCongress 2006 ; 2006 ; Atlanta, Georgia, United States

Published in:

GeoCongress 2006 ; 1-6

Publication date:

2006-02-21

ISBN:

DOI:

https://doi.org/10.1061/40803(187)188

Type of media:

Conference paper

Type of material:

Electronic Resource

Language:

English

Keywords:

Soil consolidation , Geotechnical engineering , Linear systems , Finite element method , Information management , Computer applications

Similar titles

Symmetric Indefinite Preconditioners for FE Solution of Biot's Consolidation Problem

Xi, C. / Phoon, K.-K. / Toh, K.-C. et al. | British Library Conference Proceedings | 2006

Effective block diagonal preconditioners for Biot's consolidation equations in piled-raft foundations

Chaudhary, K.B. / Phoon, K.K. / Toh, K.C. | British Library Online Contents | 2013

Diagonal PCG Method for FE Solution of 3D Biot's Consolidation Problem

Zhang, K.Y. / Xie, G.H. | British Library Conference Proceedings | 2014

Generalized Block Diagonal and Block Triangular Preconditioners for Non-Symmetric Indefinite Linear Systems

Li, X.-Y. | British Library Online Contents | 2014

Three Limiting Results for Biot's Theory of Soil Consolidation

Yue, Z. Q. / Lee, C. F. / Hong Kong Politechnic University | British Library Conference Proceedings | 2001