RMCP: relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics
From MaRDI portal
Publication:695850
DOI10.1016/j.cma.2012.02.004zbMath1253.74032OpenAlexW2018096864MaRDI QIDQ695850
Luca Bergamaschi, Àngeles Martínez
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.02.004
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)
Related Items (16)
An inexact relaxed DPSS preconditioner for saddle point problem ⋮ Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem ⋮ Scalable algorithms for three-field mixed finite element coupled poromechanics ⋮ A two-stage preconditioner for multiphase poromechanics in reservoir simulation ⋮ Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization ⋮ Multiscale two-stage solver for Biot's poroelasticity equations in subsurface media ⋮ Spectral analysis of the preconditioned system for the \(3 \times 3\) block saddle point problem ⋮ A general class of shift-splitting preconditioners for non-Hermitian saddle point problems with applications to time-harmonic eddy current models ⋮ A Modified Relaxed Positive-Semidefinite and Skew-Hermitian Splitting Preconditioner for Generalized Saddle Point Problems ⋮ Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives ⋮ Two improvements of the deteriorated PSS preconditioner for generalized saddle point problems ⋮ A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media ⋮ A Relaxed Physical Factorization Preconditioner for Mixed Finite Element Coupled Poromechanics ⋮ Block preconditioners for linear systems in interior point methods for convex constrained optimization ⋮ On the eigenvalue distribution of preconditioned nonsymmetric saddle point matrices ⋮ A generalized variant of modified relaxed positive-semidefinite and skew-Hermitian splitting preconditioner for generalized saddle point problems
Cites Work
- Unnamed Item
- Unnamed Item
- FSAI-based parallel mixed constraint preconditioners for saddle point problems arising in geomechanics
- Mixed constraint preconditioners for the iterative solution of FE coupled consolidation equations
- Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations
- A comparative study of sparse approximate inverse preconditioners
- Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
- Numerical comparison of iterative eigensolvers for large sparse symmetric positive definite matrices
- Preconditioning indefinite systems in interior point methods for optimization
- A massively parallel exponential integrator for advection-diffusion models
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
- Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency
- An Efficient Parallel MLPG Method for Poroelastic Models
- Numerical solution of saddle point problems
- Performance and robustness of block constraint preconditioners in finite element coupled consolidation problems
- Factorized Sparse Approximate Inverse Preconditionings I. Theory
- Asymptotic Convergence of Conjugate Gradient Methods for the Partial Symmetric Eigenproblem
- Constraint Preconditioning for Indefinite Linear Systems
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- On eigenvalue distribution of constraint‐preconditioned symmetric saddle point matrices
- High Performance Computing for Computational Science - VECPAR 2004
- Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
- Ill-conditioning of finite element poroelasticity equations.
This page was built for publication: RMCP: relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics
