3 papers
math.NA2026
Preconditioners for the Onsager-Stefan-Maxwell equations for multicomponent diffusion
Kars Knook, Aaron Baier-Reinio, Patrick E. Farrell
The Onsager-Stefan-Maxwell (OSM) equations are an important model of mass transport in multicomponent flows with multiple chemical species. They describe the coupling of diffusive…
math.NA2026
Shifted HSS solvers for the indefinite Helmholtz equation
Colin J Cotter, Kars Knook, Joshua Hope-Collins
We provide an iterative solution approach for the indefinite Helmholtz equation discretised using finite elements, based upon a Hermitian Skew-Hermitian Splitting (HSS) iteration a…
math.NA2025
Quasi-optimal complexity -FEM for the Poisson Equation on a rectangle
Kars Knook, Sheehan Olver, Ioannis P. A. Papadopoulos
We show, in one dimension, that an -Finite Element Method (-FEM) discretisation can be solved in optimal complexity because the discretisation has a special sparsity struct…