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math.NA2022
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…
math.NA2020
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…
math.NA2020
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…