182 citations · 1.2k across the 59 of their papers we have counts for
4 papers · 2 filters
A Fast and Memory Efficient Sparse Solver with Applications to Finite-Element Matrices
AmirHossein Aminfar, Eric Darve
In this article, we introduce a fast and memory efficient solver for sparse matrices arising from the finite element discretization of elliptic partial differential equations (PDEs…
The Inverse Fast Multipole Method
Sivaram Ambikasaran, Eric Darve
This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolati…
A Kalman filter powered by -matrices for quasi-continuous data assimilation problems
Judith Y. Li, Sivaram Ambikasaran, Eric F. Darve +1
Continuously tracking the movement of a fluid or a plume in the subsurface is a challenge that is often encountered in applications, such as tracking a plume of injected CO or…
A Fast Block Low-Rank Dense Solver with Applications to Finite-Element Matrices
Amirhossein Aminfar, Sivaram Ambikasaran, Eric Darve
This article presents a fast solver for the dense "frontal" matrices that arise from the multifrontal sparse elimination process of 3D elliptic PDEs. The solver relies on the fact…