5 citations · 5 across the 8 of their papers we have counts for
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Robust a posteriori error estimation for stochastic Galerkin formulations of parameter-dependent linear elasticity equations
Arbaz Khan, Alex Bespalov, Catherine E. Powell +1
The focus of this work is a posteriori error estimation for stochastic Galerkin approximations of parameter-dependent linear elasticity equations. The starting point is a three-fie…
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems
Joscha Gedicke, Arbaz Khan
In this paper, we present a divergence-conforming discontinuous Galerkin finite element method for Stokes eigenvalue problems. We prove a priori error estimates for the eigenvalue…
Robust preconditioning for stochastic Galerkin formulations of parameter-dependent nearly incompressible linear elasticity equations
Arbaz Khan, Catherine E. Powell, David J. Silvester
We consider the nearly incompressible linear elasticity problem with an uncertain spatially varying Young's modulus. The uncertainty is modelled with a finite set of parameters wit…
Robust error estimation for lowest-order approximation of nearly incompressible elasticity
Arbaz Khan, Catherine E. Powell, David J. Silvester
We consider so-called Herrmann and Hydrostatic mixed formulations of classical linear elasticity and analyse the error associated with locally stabilised finite element a…