Low-Rank Kernel Matrix Approximation Using Skeletonized Interpolation With Endo- or Exo-Vertices

Autor: Xu, Zixi, Cambier, Léopold, Rouet, François-Henry, L'Eplatennier, Pierre, Huang, Yun, Ashcraft, Cleve, Darve, Eric

The efficient compression of kernel matrices, for instance the off-diagonal blocks of discretized integral equations, is a crucial step in many algorithms. In this paper, we study the application of Skeletonized Interpolation to construct such factor

Externí odkaz: http://arxiv.org/abs/1807.04787

New Methods to Speed-up the Boundary Element Method in LS-DYNA

Autor: L‘Eplattenier, Pierre, Ashcraft, Cleve, Rouet, François-Henry, Weisbecker, Clement, Bateau-Meyer, Sarah

LS-DYNA is a general purpose explicit and implicit finite element program used to analyse the non linear dynamic response of three-dimensional solids and fluids. It is developed by Livermore Software Technology Corporation (LSTC). An electromagnetism

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2574cb1b58b6e5f81078b3fa77e2dc3
http://hdl.handle.net/2003/36968

BLOCK LOW-RANK MATRICES WITH SHARED BASES: POTENTIAL AND LIMITATIONS OF THE BLR ² FORMAT.

Autor: ASHCRAFT, CLEVE, BUTTARI, ALFREDO, MARYS, THEO

Publikováno v: SIAM Journal on Matrix Analysis & Applications; 2021, Vol. 42 Issue 2, p990-1010, 21p

Robust Ordering of Sparse Matrices using Multisection

Autor: Ashcraft, Cleve, Liu, Joseph W. H.

Publikováno v: SIAM Journal on Matrix Analysis & Applications. 1998, Vol. 19 Issue 3, p816. 17p.

Improving Multifrontal methods by means of Low-Rank Approximations techniques

Autor: Amestoy, Patrick, Ashcraft, Cleve, Boiteau, Olivier, Buttari, Alfredo, L'Excellent, Jean-Yves, Weisbecker, Clément

Publikováno v: SIAM Conference on Applied Linear Algebra
SIAM Conference on Applied Linear Algebra, Jun 2012, Valencia, Spain
SIAM Conference on Applied Linear Algebra 2012
SIAM Conference on Applied Linear Algebra 2012, Jun 2012, Valencia, Spain. pp.A1451-A1474, ⟨10.1137/120903476⟩

International audience; Matrices coming from elliptic Partial Differential Equations (PDEs) have been shown to have a low-rank property: well defined off-diagonal blocks of their Schur complements can be approximated by low-rank products. Given a sui

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::da9ec688834d62694d6abe430abcfb49
https://hal.inria.fr/hal-00789684