1. Parallel inexact constraint preconditioning for ill-conditioned consolidation problems.
- Author
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Janna, Carlo, Ferronato, Massimiliano, and Gambolati, Giuseppe
- Subjects
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PARALLEL computers , *ITERATIVE methods (Mathematics) , *FINITE element method , *EQUATIONS , *MATRICES (Mathematics) , *ALGORITHMS - Abstract
Constraint preconditioners have proved very efficient for the solution of ill-conditioned finite element (FE) coupled consolidation problems in a sequential computing environment. Their implementation on parallel computers, however, is not straightforward because of their inherent sequentiality. The present paper describes a novel parallel inexact constraint preconditioner (ParICP) for the efficient solution of linear algebraic systems arising from the FE discretization of the coupled poro-elasticity equations. The ParICP implementation is based on the use of the block factorized sparse approximate inverse incomplete Cholesky preconditioner, which is a very recent and effective development for the parallel preconditioning of symmetric positive definite matrices. The ParICP performance is experimented with in real 3D coupled consolidation problems, proving a scalable and efficient implementation of the constraint preconditioning for high-performance computing. ParICP appears to be a very robust algorithm for solving ill-conditioned large-size coupled models in a parallel computing environment. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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