Metric-based anisotropic mesh adaptation for BEMs ,
, Metric-based anisotropic mesh adaptation for a surface solution
, Deriving the optimal continuous mesh
, 2 Validation of the adaptive mesh strategy for 3D acoustic FM-BEM 86
, Ongoing work: Extension to higher order BEMs, p.89
Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods, Journal of Computational physics, vol.372, pp.473-499, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01895636
Theory and implementation of H-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels, Journal of Computational physics, vol.351, pp.165-186, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01543919
Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics, Journal of Computational Physics, vol.341, pp.429-446, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01523020
Seismic Wave Amplification in 3D Alluvial Basins: 3D/1D Amplification Ratios from Fast Multipole BEM Simulations, Bulletin of the Seismological Society of America, vol.106, pp.1267-1281, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01358724
Approximate local Dirichlet-to-Neumann map for three-dimensional elastic waves, Computer Methods in Applied Mechanics and Engineering, vol.297, pp.62-83, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01187242
A Wideband Fast Multipole Method for the Helmholtz Kernel: Theoretical Developments, Computers and Mathematics with Applications, vol.70, pp.660-678, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01154119
A new Fast Multipole Formulation for the elastodynamic half-space Green's tensor, Journal of Computational physics, vol.258, pp.787-808, 2014. ,
Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics, Wave Motion, vol.50, issue.7, pp.1090-1104, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00805764
Application of the multi-level timeharmonic fast multipole BEM to 3-D visco-elastodynamics, vol.36, pp.744-758, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00645208
A preconditioned 3-D multi-region fast multipole solver for seismic wave propagation in complex geometries, Communications in Computational Physics, vol.11, pp.594-609, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00495193
FaIMS: A fast algorithm for the inverse medium problem with multiple frequencies and multiple sources for the scalar Helmholtz equation, Journal of Computational Physics, vol.231, pp.4403-4421, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00670500
Identification of a planar crack in Zener type viscoelasticity, Annals of Solid and Structural Mechanics, vol.1, pp.3-8, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00540730
A new fast multi-domain BEM to model seismic wave propagation and amplification in 3D geological structures, Geophysical Journal International, vol.177, pp.509-531, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00338211
A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.4233-4249, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00276092
A Fast Multipole accelerated BEM for 3-D elastic wave computation, European Journal of Computational Mechanics, vol.17, pp.701-712, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00329735
Resolution of linear viscoelastic equations in the frequency domain using real Helmholtz boundary integral equations, C. R. Mecanique, vol.335, pp.746-750, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00178375
A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain, C. R. Mecanique, vol.335, pp.714-719, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00167345
Fast seismic cycle model in geometrically complex fault system ,
Efficient preconditioner for H-matrix based iterative solvers for 3d acoustic and elastodynamic problems ,
Metric-based anisotropic mesh adaptation for highorder boundary element methods in acoustic scattering ,
Fast Multipole Boundary Element Method for site effects and soil-structure interactions ,
Multi-level fast multipole BEM for 3-D elastodynamics, Recent Advances in BEM, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00326481
Fast Multipole Method (FMM) for boundary element method in 3D elastodynamics. Application to seismic wave propagation, 2008. ,
, , 2019.
Three-dimensional numerical modelling of site effects in Soil-Structure Interaction for large scale seismic problems, On the far field amplitude for elastic waves. Modern Mathematical Methods in Diffractions Theory and its Applications in Engineering, vol.204, pp.49-67, 1997. ,
Fast approximate computation of a time-harmonic scattered field using the OSRC method, IMA J. Appl. Math, vol.66, pp.83-110, 2001. ,
Alternative integral equations for the iterative solution of acoustic scattering problems, Comput. Methods Appl. Mech. Engrg, vol.58, pp.4060-4074, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00091668
Rayleigh wave correction for the BEM analysis of twodimensional elastodynamic problems in a half-space, Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. ESAIM: Math. Modell, vol.41, pp.787-801, 1996. ,
Fiabilité et optimisation des calculs obtenus par des formulations intégrales en propagation d'ondes, 2016. ,
Three-dimensional harmonic functions near termination or intersection of gradient singularity lines: a general numerical method, A goal-oriented a posteriori error estimate for the oscillating single layer integral equation, vol.69, pp.1-34, 1974. ,
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretization, Developments in dynamic soil-structure interaction, vol.27, pp.31-69, 1993. ,
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis, Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems, vol.49, pp.82-98, 1999. ,
, , 2019.
A fast, high-order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications, Computer Modeling in Engineering & Sciences, vol.32, issue.2, pp.80-110, 2001. ,
A Chebyshev-based rectangular-polar integral solver for scattering by general geometries described by non-overlapping patches, Int. Journal Numerical Methods in Engineering, vol.91, issue.10, pp.1045-1072, 2012. ,
Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism, Numer. Linear Algebra Appl, vol.7, pp.667-685, 2000. ,
Earthquake response analysis of the Hualien soilstructure interaction system based on updated soil properties using forced vibration test data, Caudron 2018] B. Caudron. Couplages FEM-BEM faibles et optimisés pour desprobì emes de diffraction harmoniques en acoustique et enélectromagnétismeenélectromagnétisme, vol.27, pp.195-240, 1997. ,
de l'´ equation de Helmholtz: application des H-matricesàmatricesà l'EFIE, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.197, issue.1, pp.603-628, 2004. ,
Scattering of elastic waves by a general anisotropic basin. Part 2: a 3D model, Earthquake engineering & structural dynamics, vol.32, issue.5, pp.653-670, 2003. ,
Approximate Local Magnetic-toElectric Surface Operators for Time-Harmonic Maxwell's Equations, Interface relaxation algorithms for BEM-BEM coupling and FEM-BEM coupling, vol.279, pp.2977-2992, 2003. ,
, , 2019.
Epton and B. Dembart. Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, C. Eringen and E.S. Suhubi. Elastodynamics, vol.32, issue.3, pp.865-897, 1975. ,
Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations, Journal of Computational Physics, vol.79, issue.1, pp.5532-5555, 1998. ,
Adaptive Boundary Element Methods: A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation, Arch. Computat. Methods Eng, vol.22, issue.3, pp.309-389, 2015. ,
Simple a posteriori error estimators for the h-version of the boundary element method. Computing, International Journal for Numerical Methods in Engineering, vol.83, issue.4, pp.1677-1690, 2005. ,
Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem, Engineering Analysis with Boundary Elements, vol.228, issue.1, pp.38-60, 2002. ,
A high performance computing and sensitivity analysis algorithm for stochastic many-particle wave scattering, Gantumur 2013] T. Gantumur. Adaptive boundary element methods with convergence rates. Numerische Mathematik, vol.198, pp.471-516, 1992. ,
Creation of internal points in Voronoi's type method, Advances in engineering software and workstations, vol.13, pp.303-312, 1991. ,
Wideband fast multipole accelerated boundary element methods for the three-dimensional Helmholtz equation, Modelling visco-elastic seismic wave propagation: a fast-multipole boundary element method and its coupling with finite elements, vol.73, pp.71-159, 1987. ,
A direct method for analysis of dynamic soil-structure interaction based on interface idea, The coupling of boundary element and finite element methods. Zeitschrift fur Angewandte Mathematik Und Mechanik, vol.70, pp.261-276, 1988. ,
Discrete wave-number boundary-element method for 3-D scattering problems, Japan earthquake. Seismological Research Letters, vol.212, issue.4, pp.67-73, 1993. ,
, , 2019.
The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures, Threedimensional problems of the mathematical theory of elasticity and thermoelasticity, vol.88, pp.153-161, 1963. ,
URL : https://hal.archives-ouvertes.fr/hal-00669068
Displacements near a three-dimensional hemispherical canyon subjected to incident plane waves, Journal of Natural Gas Science and Engineering, vol.279, pp.66-83, 1978. ,
A series solution and numerical technique for wave diffraction by a three-dimensional canyon, Computers & Structures, vol.39, issue.2, pp.899-909, 1996. ,
Résolution directe rapide pour lesélémentsleséléments finis defrontì ere enélectromagenélectromag-nétisme et acoustique : H-matrices. Parallélisme et applications industrielles, vol.13, 2014. ,
Optimal discrete transmission conditions for a non-overlapping domain decomposition method for the Helmholtz equation, Darve. Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation, vol.229, pp.1175-1196, 1988. ,
Identification and extraction of surface waves from three-component seismograms based on the normalized inner product, Bulletin of the Seismological Society of America, vol.105, issue.1, pp.210-229, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01213276
3D heterogeneous staggered-grid finite-difference modeling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities, Bulletin of the Seismological Society of America, vol.96, issue.2, pp.3042-3066, 1997. ,
Corner treatments for high-order absorbing boundary conditions in high-frequency acoustic scattering problems ,
Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems, 2001. ,
3D viscoelastic wave propagation in the Upper Borrego Valley, California, constrained by borehole and surface data, International journal for numerical methods in engineering, vol.58, issue.7, pp.200-220, 1998. ,
, , 2019.
GMRES: a Generalized Minimal Residual Algorithm for solving nonsymmetric linear systems, Bulletin of the Seismological Society of America, vol.85, issue.3, pp.856-869, 1986. ,
Comparison of 3D, 2D and 1D numerical approaches to predict long period earthquake ground motion in the Gubbio plain, Sarvas. Broadband Müller-MLFMA for Electromagnetic Scattering by Dielectric Objects. IEEE Transactions on Antennas and Propagation, vol.73, pp.1423-1430, 1983. ,
Precorrected FFT accelerated BEM for largescale transient elastodynamic analysis using frequency-domain approach, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.449, pp.956-962, 1995. ,
The higher order Born approximation applied to improve the solution of seismic response of a three-dimensional canyon computed by the Indirect Boundary Method, Physics of the Earth and Planetary Interiors, vol.14, issue.6, pp.306-311, 1992. ,