In scientific computing, the numerical simulation of systems is crucial to get a deep understanding of the physics underlying real world applications. The models used in simulation are often based on partial differential equations (PDE) which, after fine discretisation, give rise to huge sparse systems of equations to solve. Historically, 2 classes of methods were designed for the solution of such systems: direct methods, robust but expensive in both computations and memory; and iterative methods, cheap but with a very problem-dependent convergence properties. In the context of high performance computing, hybrid direct-iterative methods were then introduced inorder to combine the advantages of both methods, while using efficiently the incre...
textOver the last three decades, CFD simulations have become commonplace as a tool in the engineerin...
Departing from Mulder's semi-coarsening technique for first order PDEs, the notion of a grid of grid...
University of Minnesota Ph.D. dissertation. August 2015. Major: Aerospace Engineering and Mechanics....
The hybridized discontinuous Galerkin methods (HDG) introduced a decade ago is a promising candidate...
Dans le domaine du calcul scientifique, la simulation numérique de systèmes est cruciale afin d'obte...
We are interested in solving large sparse systems of linear equations in parallel. Computing the sol...
The data volume of Partial Differential Equation (PDE) based ultra-large-scale scientific simul...
In this paper two adaptive algorithms are presented for the solution of systems of evolutive one-dim...
International audienceOver the last few decades, there have been innumerable science, engineering an...
The need of fast and reliable methods to solve large linear systems of equations is growing rapidly....
In this dissertation, we examine several different aspects of computing the numerical solution of th...
Multigrid methods play an important role in the numerical approximation of partial differential equa...
The solution of large sparse linear systems is a critical operationfor many numerical simulations. T...
Many petascale and exascale scientific simulations involve the time evolution of systems modelled as...
Large-scale scientific applications and industrial simulations are nowadays fully integrated in many...
textOver the last three decades, CFD simulations have become commonplace as a tool in the engineerin...
Departing from Mulder's semi-coarsening technique for first order PDEs, the notion of a grid of grid...
University of Minnesota Ph.D. dissertation. August 2015. Major: Aerospace Engineering and Mechanics....
The hybridized discontinuous Galerkin methods (HDG) introduced a decade ago is a promising candidate...
Dans le domaine du calcul scientifique, la simulation numérique de systèmes est cruciale afin d'obte...
We are interested in solving large sparse systems of linear equations in parallel. Computing the sol...
The data volume of Partial Differential Equation (PDE) based ultra-large-scale scientific simul...
In this paper two adaptive algorithms are presented for the solution of systems of evolutive one-dim...
International audienceOver the last few decades, there have been innumerable science, engineering an...
The need of fast and reliable methods to solve large linear systems of equations is growing rapidly....
In this dissertation, we examine several different aspects of computing the numerical solution of th...
Multigrid methods play an important role in the numerical approximation of partial differential equa...
The solution of large sparse linear systems is a critical operationfor many numerical simulations. T...
Many petascale and exascale scientific simulations involve the time evolution of systems modelled as...
Large-scale scientific applications and industrial simulations are nowadays fully integrated in many...
textOver the last three decades, CFD simulations have become commonplace as a tool in the engineerin...
Departing from Mulder's semi-coarsening technique for first order PDEs, the notion of a grid of grid...
University of Minnesota Ph.D. dissertation. August 2015. Major: Aerospace Engineering and Mechanics....