67 citations · 111 across the 3 of their papers we have counts for
4 papers
Solvers and precondtioners based on Gauss-Seidel and Jacobi algorithms for non-symmetric stochastic Galerkin system of equations
Ramakrishna Tipireddy, Eric T. Phipps, Roger G. Ghanem
In this work, solvers and preconditioners based on Gauss-Seidel and Jacobi algorithms are explored for stochastic Galerkin discretization of partial differential equations (PDEs) w…
Compressive sensing adaptation for polynomial chaos expansions
Panagiotis Tsilifis, Xun Huan, Cosmin Safta +5
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adapta…
Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods
Bedřich Sousedík, Roger G. Ghanem, Eric T. Phipps
Use of the stochastic Galerkin finite element methods leads to large systems of linear equations obtained by the discretization of tensor product solution spaces along their spatia…
Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE
Guillaume Bal, Roger Ghanem, Ian Langmore
We study a one-dimensional elliptic problem with highly oscillatory random diffusion coefficient. We derive a homogenized solution and a so-called Gaussian corrector. We also prove…