Parallel matrix-free polynomial preconditioners with application to flow simulations in discrete fracture networks
DOI10.1016/j.camwa.2023.06.032arXiv2208.01339MaRDI QIDQ6052315
Luca Bergamaschi, Carlo Janna, Massimiliano Ferronato, Giovanni Isotton, Àngeles Martínez
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01339
conjugate gradient methodparallel computingscalabilitydiscrete fracture networkpolynomial preconditioner
Computational methods for sparse matrices (65F50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical comparison of iterative eigensolvers for large sparse symmetric positive definite matrices
- A polynomial preconditioner for the GMRES algorithm
- Approximate inverse-based block preconditioners in poroelasticity
- A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
- Finite Elements and Fast Iterative Solvers
- Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method
- An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
- Numerical solution of saddle point problems
- Polynomial Preconditioned GMRES and GMRES-DR
- Polynomial Preconditioners for Conjugate Gradient Calculations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
- Asymptotic Convergence of Conjugate Gradient Methods for the Partial Symmetric Eigenproblem
- A Class of Spectral Two-Level Preconditioners
- Matrix Preconditioning Techniques and Applications
- Chronos: A General Purpose Classical AMG Solver for High Performance Computing
- Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks
- On Nonsingular Saddle-Point Systems with a Maximally Rank Deficient Leading Block
- On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
- A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows
- Some New Methods in Matrix Calculation
- Polynomial Preconditioned Arnoldi with Stability Control
This page was built for publication: Parallel matrix-free polynomial preconditioners with application to flow simulations in discrete fracture networks
