Search Results - "Chaillat, Stéphanie"
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1
Solvability results for the transient acoustic scattering by an elastic obstacle
Published in Journal of mathematical analysis and applications (01-08-2024)“…The well-posedness of the linear evolution problem governing the transient scattering of acoustic waves by an elastic obstacle is investigated. After using…”
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2
Theory and implementation of H-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
Published in Journal of computational physics (15-12-2017)“…•This article presents a study on the efficiency of H-matrices for elastodynamics.•It includes a theoretical estimate of the rank of single- and double-layer…”
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3
An efficient preconditioner for adaptive Fast Multipole accelerated Boundary Element Methods to model time-harmonic 3D wave propagation
Published in Computer methods in applied mechanics and engineering (01-08-2019)“…This paper presents an efficient algebraic preconditioner to speed up the convergence of Fast Multipole accelerated Boundary Element Methods (FM-BEMs) in the…”
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4
A new Fast Multipole formulation for the elastodynamic half-space Greenʼs tensor
Published in Journal of computational physics (01-02-2014)“…In this article, a version of the frequency-domain elastodynamic Fast Multipole-Boundary Element Method (FM-BEM) for semi-infinite media, based on the…”
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5
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber
Published in Advances in computational mathematics (01-04-2022)“…It is well known in the literature that standard hierarchical matrix ( H -matrix)-based methods, although very efficient for asymptotically smooth kernels, are…”
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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
A fast boundary element based solver for localized inelastic deformations
Published in International journal for numerical methods in engineering (30-12-2020)“…Summary We present a numerical method for the solution of nonlinear geomechanical problems involving localized deformation along shear bands and fractures. We…”
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8
Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods
Published in Journal of computational physics (01-11-2018)“…•The extension of a metric-based mesh adaptation strategy for the BEM is presented.•The method generates truly anisotropic meshes.•The method is independent of…”
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9
FaIMS: A fast algorithm for the inverse medium problem with multiple frequencies and multiple sources for the scalar Helmholtz equation
Published in Journal of computational physics (20-06-2012)“…We propose an algorithm to compute an approximate singular value decomposition (SVD) of least-squares operators related to linearized inverse medium problems…”
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10
A fast boundary element method using the Z‐transform and high‐frequency approximations for large‐scale three‐dimensional transient wave problems
Published in International journal for numerical methods in engineering (15-11-2020)“…Summary Three‐dimensional (3D) rapid transient acoustic problems are difficult to solve numerically when dealing with large geometries, because numerical…”
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11
Efficient evaluation of three-dimensional Helmholtz Green's functions tailored to arbitrary rigid geometries for flow noise simulations
Published in Journal of computational physics (01-03-2022)“…•Tailored Helmholtz Green's function determined with a Neumann boundary condition•Efficient Boundary Element Method (BEM) is developed•Explicit reference…”
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12
A wideband Fast Multipole Method for the Helmholtz kernel: Theoretical developments
Published in Computers & mathematics with applications (1987) (01-08-2015)“…This work presents a new Fast Multipole Method (FMM) based on plane wave expansions (PWFMM), combining the advantages of the low and high frequency…”
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13
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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14
A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
Published in Computer methods in applied mechanics and engineering (01-01-2008)“…To reduce computational complexity and memory requirement for 3-D elastodynamics using the boundary element method (BEM), a multi-level fast multipole BEM…”
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15
Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
Published in Wave motion (01-11-2013)“…This article is mainly devoted to a review on fast BEMs for elastodynamics, with particular attention on time-harmonic fast multipole methods (FMMs). It also…”
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16
The Sphericity Paradox and the Role of Hoop Stresses in Free Subduction on a Sphere
Published in Journal of geophysical research. Solid earth (01-09-2024)“…Oceanic plates are doubly curved spherical shells, which influences how they respond to loading during subduction. Here we study a viscous fluid model for…”
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17
Theory and implementation of $\mathcal{H}$-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
Published in Journal of computational physics (08-09-2017)“…In this work, we study the accuracy and efficiency of hierarchical matrix ($\mathcal{H}$-matrix) based fast methods for solving dense linear systems arising…”
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18
A fast boundary element method using the Z-transform and high-frequency approximations for large-scale 3D transient wave problems
Published in International journal for numerical methods in engineering (2020)“…3D rapid transient acoustic problems are difficult to solve numerically when dealing with large geometries, because numerical methods based on geometry…”
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19
Application of the multi-level time-harmonic fast multipole BEM to 3-D visco-elastodynamics
Published in Engineering analysis with boundary elements (01-05-2012)“…This article extends previous work by the authors on the single- and multi-domain time-harmonic elastodynamic multi-level fast multipole BEM formulations to…”
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20
A new fast multi-domain BEM to model seismic wave propagation and amplification in 3D geological structures
Published in Geophysical journal international (2009)“…The analysis of seismic wave propagation and amplification in complex geological structures raises the need for efficient and accurate numerical methods. The…”
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