42 citations · 124 across the 12 of their papers we have counts for
3 papers · 1 filter
A direct solver with reutilization of previously-computed LU factorizations for h-adaptive finite element grids with point singularities
Maciej Paszynski, Victor Calo, David Pardo
This paper describes a direct solver algorithm for a sequence of finite element meshes that are h-refined towards one or several point singularities. For such a sequence of grids,…
The cost of continuity: performance of iterative solvers on isogeometric finite elements
Nathan Collier, Lisandro Dalcin, David Pardo +1
In this paper we study how the use of a more continuous set of basis functions affects the cost of solving systems of linear equations resulting from a discretized Galerkin weak fo…
Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements
Nathan Collier, David Pardo, Maciej Paszynski +1
The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse linear systems. This paper provides computational complexity and memory usage es…