A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient
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Publication:5074959
zbMath1485.65028arXiv1910.11505MaRDI QIDQ5074959
Eugenio Aulisa, Guoyi Ke, Giacomo Capodaglio
Publication date: 10 May 2022
Full work available at URL: https://arxiv.org/abs/1910.11505
preconditioningGMRESstochastic Galerkin methodgeometric multigridstochastic diffusion equationfield-splitlognormal coefficient
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical solutions to stochastic differential and integral equations (65C30) Preconditioners for iterative methods (65F08)
Uses Software
Cites Work
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Schwarz preconditioners for stochastic elliptic PDEs
- A multigrid solver for two-dimensional stochastic diffusion equations.
- Augmented Lagrangian-based preconditioners for steady buoyancy driven flow
- Finite elements for elliptic problems with stochastic coefficients
- Probabilistic characterization of transport in heterogeneous media
- Finite elements for stochastic media problems
- Scalable domain decomposition solvers for stochastic PDEs in high performance computing
- New preconditioning techniques for the steady and unsteady buoyancy driven flow problems
- Numerical solution of spectral stochastic finite element systems
- Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems
- Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods
- Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients
- Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison
- Stochastic Galerkin Matrices
- Iterative Solvers for the Stochastic Finite Element Method
- Preconditioning Stochastic Galerkin Saddle Point Systems
- A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations
- Parallel Domain Decomposition Methods for Stochastic Elliptic Equations
- Algebraic multigrid for stationary and time‐dependent partial differential equations with stochastic coefficients
- A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM
- Block-diagonal preconditioning for spectral stochastic finite-element systems
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Block triangular preconditioners for linearization schemes of the Rayleigh–Bénard convection problem
- Stochastic finite element methods for partial differential equations with random input data
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Piecewise Polynomial Approximation of Probability Density Functions with Application to Uncertainty Quantification for Stochastic PDEs
- Solving the stochastic steady-state diffusion problem using multigrid
- High-Order Collocation Methods for Differential Equations with Random Inputs
- Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
