32 citations · 64 across the 13 of their papers we have counts for
15 papers
A Guided Tour of Modern Domain Decomposition: From Schwarz Iterations to Robust Preconditioners and HPC Implementations
Victorita Dolean, Pierre Jolivet, Frédéric Nataf +1
Domain decomposition methods (DDMs) provide a unifying framework for the scalable numerical solution of partial differential equations. Originating from Schwarz's alternating metho…
Efficient Fine-Scale Simulation of Nonlinear Hyperelastic Lattice Structures
Clément Guillet, Thibaut Hirschler, Pierre Jolivet +2
With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials…
Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems
Sudhi Sharma, Pierre Jolivet, Victorita Dolean +1
This article discusses the uncertainty quantification (UQ) for time-independent linear and nonlinear partial differential equation (PDE)-based systems with random model parameters…
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…
Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing
Sudhi P. V., Victorita Dolean, Pierre Jolivet +4
A nonlinear partial differential equation (PDE) based compartmental model of COVID-19 provides a continuous trace of infection over space and time. Finer resolutions in the spatial…
Efficient Algebraic Two-Level Schwarz Preconditioner For Sparse Matrices
Hussam Al Daas, Pierre Jolivet, Tyrone Rees
Domain decomposition methods are among the most efficient for solving sparse linear systems of equations. Their effectiveness relies on a judiciously chosen coarse space. Originall…
Three-dimensional finite-difference & finite-element frequency-domain wave simulation with multi-level optimized additive Schwarz domain-decomposition preconditioner: A tool for FWI of sparse node datasets
P. -H. Tournier, P. Jolivet, V. Dolean +3
Efficient frequency-domain Full Waveform Inversion (FWI) of long-offset node data can be designed with a few discrete frequencies hence allowing for compact volume of data to be ma…
A Robust Algebraic Multilevel Domain Decomposition Preconditioner For Sparse Symmetric Positive Definite Matrices
Hussam Al Daas, Pierre Jolivet
Domain decomposition (DD) methods are widely used as preconditioner techniques. Their effectiveness relies on the choice of a locally constructed coarse space. Thus far, this const…
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations
Hussam Al Daas, Pierre Jolivet, Jennifer Scott
Solving the normal equations corresponding to large sparse linear least-squares problems is an important and challenging problem. For very large problems, an iterative solver is ne…
Inexact subdomain solves using deflated GMRES for Helmholtz problems
Niall Bootland, Vandana Dwarka, Pierre Jolivet +2
We examine the use of a two-level deflation preconditioner combined with GMRES to locally solve the subdomain systems arising from applying domain decomposition methods to Helmholt…
Several ways to achieve robustness when solving wave propagation problems
Niall Bootland, Victorita Dolean, Pierre Jolivet +3
Wave propagation problems are notoriously difficult to solve. Time-harmonic problems are especially challenging in mid and high frequency regimes. The main reason is the oscillator…
A comparison of coarse spaces for Helmholtz problems in the high frequency regime
Niall Bootland, Victorita Dolean, Pierre Jolivet +1
Solving time-harmonic wave propagation problems in the frequency domain and within heterogeneous media brings many mathematical and computational challenges, especially in the high…
Large-scale frequency-domain seismic wave modeling on {\it{h}}-adaptive tetrahedral meshes with iterative solver and multi-level domain-decomposition preconditioners
Victorita Dolean, Pierre Jolivet, Stéphane Operto +1
Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few freque…
Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners
Victorita Dolean, Pierre Jolivet, Stéphane Operto +1
Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few freque…
Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing
P. -H. Tournier, I. Aliferis, M. Bonazzoli +10
The motivation of this work is the detection of cerebrovascular accidents by microwave tomographic imaging. This requires the solution of an inverse problem relying on a minimizati…