A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics
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Publication:2138667
DOI10.1016/j.cma.2022.114632OpenAlexW3212743457MaRDI QIDQ2138667
Matteo Frigo, Andrea Franceschini, Massimiliano Ferronato, Carlo Janna
Publication date: 12 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05599
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Preconditioners for iterative methods (65F08)
Related Items (2)
HPC_ReverseAugmentedConstrained ⋮ The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques
Uses Software
Cites Work
- Refined saddle-point preconditioners for discretized Stokes problems
- Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems
- Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations
- A practical factorization of a Schur complement for PDE-constrained distributed optimal control
- 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 mixed formulation for frictional contact problems prone to Newton like solution methods
- Computational inelasticity
- Fast Uzawa algorithm for generalized saddle point problems
- \(hp\) submeshing via non-conforming finite element methods
- A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a posteriori error estimate
- Scalable algorithms for three-field mixed finite element coupled poromechanics
- Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
- Preconditioners for saddle point problems arising in computational fluid dynamics
- Preconditioning indefinite systems in interior point methods for optimization
- The mortar finite element method with Lagrange multipliers
- Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
- Block preconditioning for fault/fracture mechanics saddle-point problems
- A robust adaptive algebraic multigrid linear solver for structural mechanics
- Conjugate gradient for nonsingular saddle-point systems with a maximally rank-deficient leading block
- A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations
- A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics
- A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation
- A novel Lagrangian approach for the stable numerical simulation of fault and fracture mechanics
- Block-partitioned solvers for coupled poromechanics: a unified framework
- A relaxed deteriorated PSS preconditioner for nonsymmetric saddle point problems from the steady Navier-Stokes equation
- Inexact constraint preconditioners for linear systems arising in interior point methods
- Numerical modelling of regional faults in land subsidence prediction above gas/oil reservoirs
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models
- Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics
- Numerical solution of saddle point problems
- Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
- Eigenvalue estimates for preconditioned saddle point matrices
- A stable energy-conserving approach for frictional contact problems based on quadrature formulas
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On Solving Block-Structured Indefinite Linear Systems
- Constraint Preconditioning for Indefinite Linear Systems
- A Note on Preconditioning for Indefinite Linear Systems
- On convergence of the penalty method for a static unilateral contact problem with nonlocal friction in electro-elasticity
- Refining the Lower Bound on the Positive Eigenvalues of Saddle Point Matrices with Insights on the Interactions between the Blocks
- A Novel Algebraic Multigrid Approach Based on Adaptive Smoothing and Prolongation for Ill-Conditioned Systems
- Analysis of Preconditioners for Saddle-Point Problems
- Preconditioning Mixed Finite Element Saddle-point Elliptic Problems
- On eigenvalue distribution of constraint‐preconditioned symmetric saddle point matrices
- Chronos: A General Purpose Classical AMG Solver for High Performance Computing
- Interior‐point methods and preconditioning for PDE‐constrained optimization problems involving sparsity terms
- FSAIPACK
- ROBUST SUBSPACE CORRECTION METHODS FOR NEARLY SINGULAR SYSTEMS
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- A Unified Approach for Uzawa Algorithms
- Block Preconditioners Based on Approximate Commutators
- Computational Contact Mechanics
- Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
- A minimal stabilisation procedure for mixed finite element methods
- Existence of a saddle point in nonconvex constrained optimization.
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