16 citations · 16 across the 4 of their papers we have counts for
5 papers
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds
Loïc Gouarin, Nicole Spillane
In this article a new family of preconditioners is introduced for symmetric positive definite linear systems. The new preconditioners, called the AWG preconditioners (for Algebraic…
Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?
Thomas Bellotti, Loïc Gouarin, Benjamin Graille +1
We consider an adaptive multiresolution-based lattice Boltzmann scheme, which we have recently introduced and studied from the perspective of the error control and the theory of th…
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
Thomas Bellotti, Loïc Gouarin, Benjamin Graille +1
Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and…
Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws
Loïc Gouarin, Benjamin Graille, Marc Massot +1
Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal f…
Optimized Schwarz Waveform Relaxation for Advection Reaction Diffusion Equations in Two Dimensions
Daniel Bennequin, Martin J. Gander, Loic Gouarin +1
Optimized Schwarz Waveform Relaxation methods have been developed over the last decade for the parallel solution of evolution problems. They are based on a decomposition in space a…