Add to ORKGIn 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 dimensions. While we solve the pure Helmholtz problem without absorption, the preconditioners are built from problems with absorption. In the first method, the coarse space is based on the discretization of the problem with absorption on a coarse mesh, with diameter constrained by the wavenumber. In the second method, the coarse space is built by solving local eigenproblems involving the Dirichlet-to-Neumann (DtN) operator
The numerical solution of high-frequency Helmholtz problems by discretization methods such as the fi...
Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorpor...
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at high...
International audienceIn this paper we compare numerically two different coarse space definitions fo...
In this thesis, we present a two-level domain decomposition method for the iterative solution of the...
We examine the use of the Dirichlet-to-Neumann coarse space within an additive Schwarz method to sol...
The Helmholtz equation governing wave propagation and scattering phenomena is difficult to solve num...
In this paper we generalize and improve a recently developed domain decomposition preconditioner for...
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions ...
International audienceSolving time-harmonic wave propagation problems in the frequency domain and wi...
Wave phenomena play an important role in many different applications such as MRI scans, seismology a...
A Long time deflation preconditioner is used to speed up the convergence of the Krylov subspace meth...
Summary In this work we calculate the eigenvalues obtained by preconditioning the discrete Helmholtz...
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coeff...
In this thesis we propose methods for preconditioning Krylov subspace methods for solving the integr...
The numerical solution of high-frequency Helmholtz problems by discretization methods such as the fi...
Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorpor...
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at high...
International audienceIn this paper we compare numerically two different coarse space definitions fo...
In this thesis, we present a two-level domain decomposition method for the iterative solution of the...
We examine the use of the Dirichlet-to-Neumann coarse space within an additive Schwarz method to sol...
The Helmholtz equation governing wave propagation and scattering phenomena is difficult to solve num...
In this paper we generalize and improve a recently developed domain decomposition preconditioner for...
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions ...
International audienceSolving time-harmonic wave propagation problems in the frequency domain and wi...
Wave phenomena play an important role in many different applications such as MRI scans, seismology a...
A Long time deflation preconditioner is used to speed up the convergence of the Krylov subspace meth...
Summary In this work we calculate the eigenvalues obtained by preconditioning the discrete Helmholtz...
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coeff...
In this thesis we propose methods for preconditioning Krylov subspace methods for solving the integr...
The numerical solution of high-frequency Helmholtz problems by discretization methods such as the fi...
Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorpor...
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at high...