Search Results - "Darbas, Marion"
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Sensitivity analysis of the complete electrode model for electrical impedance tomography
Published in AIMS mathematics (01-01-2021)“…Electrical impedance tomography (EIT) is an imaging technique that reconstructs the conductivity distribution in the interior of an object using electrical…”
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NUMERICAL RECONSTRUCTION OF SMALL PERTURBATIONS IN THE ELECTROMAGNETIC COEFFICIENTS OF A DIELECTRIC MATERIAL
Published in Journal of computational mathematics (2014)“…The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric…”
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3
Proceedings of SMAI 2017
Published in ESAIM. Proceedings and surveys (2018)“…Papers related to the congress SMAI 2017, 8th biennale of Applied and Industrial Mathematics…”
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Non-overlapping domain decomposition algorithm for 2D time-harmonic elastic wave problems
Published in Journal of computational physics (2020)Get full text
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An Introduction to Operator Preconditioning for the Fast Iterative Integral Equation Solution of Time-Harmonic Scattering Problems
Published in Multiscale Science and Engineering (2021)“…The aim of this paper is to provide an introduction to the improved iterative Krylov solution of boundary integral equations for time-harmonic scattering…”
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6
Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics
Published in Journal of computational physics (15-07-2017)“…The fast multipole method is an efficient technique to accelerate the solution of large scale 3D scattering problems with boundary integral equations. However,…”
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7
Generalized combined field integral equations for the iterative solution of the three-dimensional Maxwell equations
Published in Applied mathematics letters (01-08-2006)“…The construction of new second-kind Fredholm integral equations for the numerical solution of problems of high-frequency electromagnetic scattering by a…”
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Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency
Published in Inverse problems in science and engineering (02-04-2020)“…This paper deals with the reconstruction of small-amplitude perturbations in the electric properties (permittivity and conductivity) of a medium from boundary…”
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9
Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves
Published in Computer methods in applied mechanics and engineering (01-12-2015)“…It has been proven that the knowledge of an accurate approximation of the Dirichlet-to-Neumann (DtN) map is useful for a large range of applications in wave…”
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10
Numerical resolution of an electromagnetic inverse medium problem at fixed frequency
Published in Computers & mathematics with applications (1987) (15-12-2017)“…The aim of this paper is to solve numerically the inverse problem of determining the complex refractive index of an electromagnetic medium from partial…”
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Review on Mathematical Modelling of Electroencephalography (EEG)
Published in Jahresbericht der Deutschen Mathematiker-Vereinigung (14-03-2019)“…The paper reviews mathematical and numerical aspects in EEG modelling and gives researchers new in this field an overview about the state-of-the-art results…”
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12
Combining analytic preconditioner and Fast Multipole Method for the 3-D Helmholtz equation
Published in Journal of computational physics (01-03-2013)“…The paper presents a detailed numerical study of an iterative solution to 3-D sound-hard acoustic scattering problems at high frequency considering the…”
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Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing
Published in Parallel computing (01-07-2019)“…•Feasibility of a microwave tomographic imaging technique for brain strokes.•Scalable domain decomposition solver for Maxwell’s equations on thousands of…”
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14
Well-conditioned boundary integral formulations for high-frequency elastic scattering problems in three dimensions
Published in Mathematical methods in the applied sciences (01-06-2015)“…We construct and analyze a family of well‐conditioned boundary integral equations for the Krylov iterative solution of three‐dimensional elastic scattering…”
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EEG in neonates: Forward modeling and sensitivity analysis with respect to variations of the conductivity
Published in Mathematical biosciences and engineering : MBE (01-08-2018)“…The paper is devoted to the analysis of electroencephalography (EEG) in neonates. The goal is to investigate the impact of fontanels on EEG measurements, i.e…”
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An improved surface radiation condition for high-frequency acoustic scattering problems
Published in Computer methods in applied mechanics and engineering (01-07-2006)“…A new artificial boundary condition for two-dimensional acoustic scattering problems is constructed in this paper. It is designed from the principal symbol of…”
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An Improved Surface Radiation Condition for High-Frequency Acoustics Scattering Problems
Published in Computer methods in applied mechanics and engineering (2006)“…A new artificial boundary condition for two-dimensional acoustic scattering problems is constructed in this paper. It is designed from the principal symbol of…”
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18
Alternative integral equations for the iterative solution of acoustic scattering problems
Published in Quarterly journal of mechanics and applied mathematics (01-02-2005)“…This paper addresses the first step of the derivation of well-conditioned integral formulations for the iterative solution of exterior acoustic boundary-value…”
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19
Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations
Published 07-11-2019“…This paper concerns the numerical resolution of a data completion problem for the time-harmonic Maxwell equations in the electric field. The aim is to recover…”
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Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency
Published 06-11-2019“…Inverse Problems in Science and Engineering, 2019 This paper deals with the reconstruction of small-amplitude perturbations in the electric properties…”
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