4 papers
Stochastic Galerkin Method and Hierarchical Preconditioning for PDE-constrained Optimization
Zhendong Li, Akwum Onwunta, Bedřich Sousedík
We develop efficient hierarchical preconditioners for optimal control problems governed by partial differential equations with uncertain coefficients. Adopting a discretize-then-op…
Stochastic Galerkin finite element method for nonlinear elasticity and application to reinforced concrete members
Mohammad S. Ghavami, Bedřich Sousedík, Hooshang Dabbagh +1
We develop a stochastic Galerkin finite element method for nonlinear elasticity and apply it to reinforced concrete members with random material properties. The strategy is based o…
Stochastic Galerkin methods for linear stability analysis of systems with parametric uncertainty
Bedřich Sousedík, Kookjin Lee
We present a method for linear stability analysis of systems with parametric uncertainty formulated in the stochastic Galerkin framework. Specifically, we assume that for a model p…
A Low-rank solver for the Navier--Stokes equations with uncertain viscosity
Kookjin Lee, Howard C. Elman, Bedřich Sousedík
We study an iterative low-rank approximation method for the solution of the steady-state stochastic Navier--Stokes equations with uncertain viscosity. The method is based on linear…