36 citations · 37 across the 2 of their papers we have counts for
3 papers
math.NA2016★ 1 cited
An efficient preconditioner for the fast simulation of a 2D Stokes flow in porous media
Pieter Coulier, Bryan Quaife, Eric Darve
We consider an efficient preconditioner for boundary integral equation (BIE) formulations of the two-dimensional Stokes equations in porous media. While BIEs are well-suited for re…
math.NA2015★ 36 cited
Fast hierarchical solvers for sparse matrices using extended sparsification and low-rank approximation
Hadi Pouransari, Pieter Coulier, Eric Darve
Inversion of sparse matrices with standard direct solve schemes is robust, but computationally expensive. Iterative solvers, on the other hand, demonstrate better scalability; but,…
math.NA2015
The inverse fast multipole method: using a fast approximate direct solver as a preconditioner for dense linear systems
Pieter Coulier, Hadi Pouransari, Eric Darve
Although some preconditioners are available for solving dense linear systems, there are still many matrices for which preconditioners are lacking, in particular in cases where the…