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Localized adaptive radiation condition for coupling boundary with finite elem...
first published online October 3, 2013 doi:10.1093/imanum/drt038 -
Time reversed absorbing condition: recreate the past and application to inver...
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Domain Decomposition Method for Harmonic Wave Propagation : A General Present...
In this paper we give a general presentation of non overlapping domain decomposition methods for harmonic wave propagation models. Our abstract framework lead to... -
Sparse approximations and inverse problems in acoustics
In this work, we construct sparse approximations of acoustic fields, as well as methods for solving inverse problems based on these approximations. The approximation... -
Qualitative Methods for Inverse Scattering by an Impedant Crack
The inverse scattering problem for crack identification is increasingly gaining applications in many domains. Examples of applications include non destructive testing,... -
Spectral and condition number estimates of the acoustic single-layer operator...
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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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