109 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Laboratoire Jacques-Louis LionsFR19 papers
- Sorbonne UniversitéFR14 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Université Pierre-et-Marie-CurieFR8 papers
- Laboratoire Jean-Alexandre DieudonnéFR7 papers
- Université Côte d'AzurFR7 papers
- University of StrathclydeGB6 papers
- Lawrence Berkeley National LaboratoryUS3 papers
- University of BathGB3 papers
- University of California, BerkeleyUS3 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
22 papers
Does 3D frequency-domain FWI of full-azimuth/long-offset OBN data feasible? The Gorgon case study
S. Operto, P. Amestoy, H. S. Aghamiry +13
Frequency-domain Full Waveform Inversion (FWI) is potentially amenable to efficient processing of full-azimuth long-offset stationary-recording seabed acquisition carried out with…
A PIC method with Forward-Backward Lagrangian reconstructions
Martin Campos Pinto, Merlin Pelz, Pierre-Henri Tournier
In this work we describe a particle simulation method where the bulk density is periodically remapped on a coarse spline grid using a Forward-Backward Lagrangian (FBL) approac…
Stable approximation of Helmholtz solutions in the disk by evanescent plane waves
Emile Parolin, Daan Huybrechs, Andrea Moiola
Superpositions of plane waves are known to approximate well the solutions of the Helmholtz equation. Their use in discretizations is typical of Trefftz methods for Helmholtz proble…
Randomized block Gram-Schmidt process for solution of linear systems and eigenvalue problems
Oleg Balabanov, Laura Grigori
This article introduces randomized block Gram-Schmidt process (RBGS) for QR decomposition. RBGS extends the single-vector randomized Gram-Schmidt (RGS) algorithm and inherits its k…
Two-level DDM preconditioners for positive Maxwell equations
Niall Bootland, Victorita Dolean, Frédéric Nataf +1
In this paper we develop and analyse domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-type eq…
Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems
Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf +1
We analyze the convergence of the one-level overlapping domain decomposition preconditioner SORAS (Symmetrized Optimized Restricted Additive Schwarz) applied to a generic linear sy…
Robust treatment of cross points in Optimized Schwarz Methods
Xavier Claeys, Emile Parolin
In the field of Domain Decomposition (DD), Optimized Schwarz Method (OSM) appears to be one of the prominent techniques to solve large scale time-harmonic wave propagation problems…
Accelerating linear system solvers for time domain component separation of cosmic microwave background data
J. Papež, L. Grigori, R. Stompor
Component separation is one of the key stages of any modern, cosmic microwave background (CMB) data analysis pipeline. It is an inherently non-linear procedure and typically involv…
Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Inexact Coarse Solves
Frédéric Nataf
Convergence of domain decomposition methods rely heavily on the efficiency of the coarse space used in the second level. The GenEO coarse space has been shown to lead to a fully ro…
A GenEO Domain Decomposition method for Saddle Point problems
Frédéric Nataf, Pierre-Henri Tournier
We introduce an adaptive element-based domain decomposition (DD) method for solving saddle point problems defined as a block two by two matrix. The algorithm does not require any k…
Parallel Controllability Methods For the Helmholtz Equation
Marcus J. Grote, Frédéric Nataf, Jet Hoe Tang +1
The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform…
A 3D Parallel Algorithm for QR Decomposition
Grey Ballard, James Demmel, Laura Grigori +2
Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communi…
Solving linear equations with messenger-field and conjugate gradients techniques - an application to CMB data analysis
J. Papez, L. Grigori, R. Stompor
We discuss linear system solvers invoking a messenger-field and compare them with (preconditioned) conjugate gradients approaches. We show that the messenger-field techniques corre…
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations
Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht +1
In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic Maxwell's equations in w…
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham +2
This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations with absorption, where the PDE is discretised using curl-conforming finite-element methods of…
Two-level preconditioners for the Helmholtz equation
Marcella Bonazzoli, Victorita Dolean, Ivan Graham +2
In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dim…
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
Marcella Bonazzoli, Victorita Dolean, Ivan Graham +2
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at mid- to high-frequency is a problem of great current interest. Some of the difficult…
URV Factorization with Random Orthogonal System Mixing
Stephen Becker, James Folberth, Laura Grigori
The unpivoted and pivoted Householder QR factorizations are ubiquitous in numerical linear algebra. A difficulty with pivoted Householder QR is the communication bottleneck introdu…
An introduction to Multitrace Formulations and Associated Domain Decomposition Solvers
X. Claeys, V. Dolean, M. J. Gander
Multitrace formulations (MTFs) are based on a decomposition of the problem domain into subdomains, and thus domain decomposition solvers are of interest. The fully rigorous mathema…
Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner
Lucas Chesnel, Xavier Claeys, Sergei A. Nazarov
We investigate the eigenvalue problem in a 2D domain divided into two regions . We are interested in situations where …
Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication
Ariful Azad, Grey Ballard, Aydin Buluc +5
Sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high-performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. The s…
Robin Schwarz algorithm for the NICEM Method: the Pq finite element case
Caroline Japhet, Yvon Maday, Frédéric Nataf
In Gander et al. [2004] we proposed a new non-conforming domain decomposition paradigm, the New Interface Cement Equilibrated Mortar (NICEM) method, based on Schwarz type methods t…