96 citations · 303 across the 55 of their papers we have counts for
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Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem
Gabriel R. Barrenechea, Michał Bosy, Victorita Dolean +2
Solving the Stokes equation by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions whose discretisation is not trivia…
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…
Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging
M. Bonazzoli, V. Dolean, F. Rapetti +1
This paper combines the use of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain…
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…
Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method
V. Dolean, M. J. Gander, F. Kwok +2
For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is alm…
Explicit implementation strategy of high order edge finite elements and Schwarz preconditioning for 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…