9 citations · 14 across the 11 of their papers we have counts for
13 papers
A class of low-rank short recurrences for nonsymmetric linear matrix equations
Davide Palitta, Catherine E. Powell, Valeria Simoncini
We propose a new class of short matrix recurrences for the solution of nonsymmetric linear equations of the type $\mathbf{A}_1\mathbf{X}\mathbf{B}_1+\ldots+\mathbf{A}_p\mathbf{X}\m…
Sampled Together: Assessing the Value of Simultaneous Co-located Measurements
C. E. Powell, Christopher S. Ruf, Scott Gleason +1
This work applies a quantitative metric well-known to the data assimilation community to a new context in order to capture the relative representativeness of non-simultaneous or no…
Efficient Adaptive Stochastic Collocation Strategies for Advection-Diffusion Problems with Uncertain Inputs
Benjamin M. Kent, Catherine E. Powell, David J. Silvester +1
Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of par…
IFISS3D: A computational laboratory for investigating finite element approximation in three dimensions
Georgios Papanikos, Catherine E. Powell, David J. Silvester
IFISS is an established MATLAB finite element software package for studying strategies for solving partial differential equations (PDEs). IFISS3D is a new add-on toolbox that exten…
Alternating Energy Minimization Methods for Multi-term Matrix Equations
Kookjin Lee, Howard C. Elman, Catherine E. Powell +1
We develop computational methods for approximating the solution of a linear multi-term matrix equation in low rank. We follow an alternating minimization framework, where the solut…
Parameter-robust Stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs
Arbaz Khan, Catherine E. Powell
Linear poroelasticity models have a number of important applications in biology and geophysics. In particular, Biot's consolidation model is a well-known model that describes the c…