Iterative solution of systems of linear equations arising in the context of stochastic finite elements

Fourier mode analysis of multigrid methods for partial differential equations with random coefficients

Journal of Computational Physics

An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems

Journal of Computational Physics

A finite element approximation of linear stochastic PDEs driven by multiplicative white noise

International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering

Generalized spectral decomposition for stochastic nonlinear problems

Journal of Computational Physics

Uncertainty quantification and apportionment in air quality models using the polynomial chaos method

Environmental Modelling & Software

Polynomial chaos representation of spatio-temporal random fields from experimental measurements

Journal of Computational Physics

Hierarchical parallelisation for the solution of stochastic finite element equations

Computers and Structures

Incomplete factorization preconditioners for the iterative solution of Stochastic Finite Element equations

Computers and Structures

Efficient component-wise and solver-based intrusive SFEM analysis of complex structures

Finite Elements in Analysis and Design

Efficient solution for Galerkin-based polynomial chaos expansion systems

Advances in Engineering Software

Stochastic Galerkin Matrices

SIAM Journal on Matrix Analysis and Applications

Iterative Solvers for the Stochastic Finite Element Method

SIAM Journal on Scientific Computing

A Kronecker Product Preconditioner for Stochastic Galerkin Finite Element Discretizations

SIAM Journal on Scientific Computing

Efficient stochastic structural analysis using Guyan reduction

Advances in Engineering Software

A Factorization of the Spectral Galerkin System for Parameterized Matrix Equations: Derivation and Applications

SIAM Journal on Scientific Computing

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems

SIAM Journal on Scientific Computing

On the application of intervening variables for stochastic finite element analysis

Computers and Structures

A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner

Journal of Computational Physics

Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients

Computers & Mathematics with Applications