96 citations · 303 across the 55 of their papers we have counts for
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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…
Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations
Gabriel R. Barrenechea, Michał Bosy, Victorita Dolean
Solving the linear elasticity and Stokes equations by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions. The one-le…
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…