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Equation-based interpolation and incremental unknowns for solving the three-d...
In an earlier paper, we developed an efficient incremental unknowns (IU) preconditioner for solving the two-dimensional (2D) Helmholtz problem in both high and low... -
Numerical integration and high order finite element methods applied to time-h...
In this thesis, time-harmonic Maxwell's equations are our main interest,<br />in order to compute accurately the radar cross section of electromagnetic... -
Parallelization on Heterogeneous Multicore and Multi-GPU Systems of the Fast ...
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Geometrical optics formulaes for Helmholtz equation
The present work deals with high frequency Helmholtz equation resolution using geometrical optics. We give formulaes in dimension 2 and 3 for mixed Dirichlet, Neumann... -
Enriched absorbing boundary conditions for the acoustic wave equation and the...
During my PhD, I have worked on the construction of absorbing boundary conditions (ABCs) designed for wave propagation problems set in domains bounded by regular... -
Exact boundary conditions for time-harmonic wave propagation in locally pertu...
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Simulation of muffler's transmission losses by a homogenized finite element m...
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Calculation of singularities in variational integral equations methods
The implementation of the boundary element method requires the evaluation of integrals with a singular integrand. A reliable and accurate calculation of these... -
Mathematical analysis of the acoustic diffraction by a muffler containing per...
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Energy concentration and Sommerfeld condition for Helmholtz equation with var...
We consider the Helmholtz equation with a variable index of refraction $n(x)$, which is not necessarily constant at infinity but can have an angular dependency like... -
Approximation by Generalized Impedance Boundary Conditions of a Transmission ...
This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object... -
An overdetermined problem for the Helmholtz equation
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On the absence of trapped modes in locally perturbed open waveguides
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Reconstruction of a defect in an open waveguide
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