A modified Jacobi preconditioner for solving ill-conditioned Biot's consolidation equations using symmetric quasi-minimal residual method

DOI10.1002/nag.164zbMath1065.74605OpenAlexW2123102101WikidataQ57353506 ScholiaQ57353506MaRDI QIDQ2755629

Kok Kwang Phoon, Fook Hou Lee, Swee-Huat Chan

Publication date: 2001

Published in: International Journal for Numerical and Analytical Methods in Geomechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nag.164

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Soil and rock mechanics (74L10) Iterative numerical methods for linear systems (65F10)

Related Items

Mixed constraint preconditioning in computational contact mechanics ⋮ Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model ⋮ Performance and robustness of block constraint preconditioners in finite element coupled consolidation problems ⋮ Factorization of saddle-point matrices in dynamical systems optimization -- reusing pivots ⋮ Multigrid Method for Poroelasticity Problem by Finite Element Method ⋮ Mixed constraint preconditioners for the iterative solution of FE coupled consolidation equations ⋮ Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem ⋮ Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations ⋮ Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot's problem ⋮ The role of preconditioning in the solution to FE coupled consolidation equations by Krylov subspace methods ⋮ Preconditioners in computational geomechanics: A survey ⋮ Performance of Jacobi preconditioning in Krylov subspace solution of finite element equations

Uses Software

• KELLEY

Cites Work

• Numerical Linear Algebra for High-Performance Computers
• Developments in structural analysis by direct energy minimization.
• More on gradient iterative methods in finite- element analysis.

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