Boundary integral equation methods for solids and fluids, 1999. ,
Boundary Integral Equations, 2008. ,
, Boundary Element Methods, 1992.
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
Accelerating fast multipole methods for the Helmholtz equation at low frequencies, IEEE Computational Science and Engineering, vol.5, issue.3, pp.32-38, 1998. ,
A wideband fast multipole accelerated boundary integral equation method for timeharmonic elastodynamics in two dimensions, International Journal for Numerical Methods in Engineering, vol.91, issue.5, pp.531-551, 2012. ,
A fast algorithm for particle simulations, Journal of Computational physics, vol.73, issue.2, pp.325-348, 1987. ,
Rapid solution of integral equations of classical potential theory, Journal of Computational Physics, vol.60, issue.2, pp.187-207, 1985. ,
A wideband fast multipole method for the Helmholtz equation in three dimensions, Journal of Computational Physics, vol.216, issue.1, pp.300-325, 2006. ,
Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems, Journal of Computational Physics, vol.185, issue.1, pp.158-175, 2003. ,
Incomplete LU preconditioner for FMM implementation, Microwave and Optical Technology Letters, vol.26, issue.4, pp.265-267, 2000. ,
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism, Numerical Linear Algebra with Applications, vol.7, pp.667-685, 2000. ,
Magolu monga Made, Sparse symmetric preconditioners for dense linear systems in electromagnetism, Numerical Linear Algebra with Applications, vol.11, issue.89, pp.753-771, 2004. ,
A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism, Computing, vol.77, issue.3, pp.275-296, 2006. ,
Approximation of boundary element matrices, Numerische Mathematik, vol.86, issue.4, pp.565-589, 2000. ,
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
A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H-matrices, Computing, vol.62, issue.2, pp.89-108, 1999. ,
A sparse matrix arithmetic. Part II: Application to multidimensional problems, Computing, vol.64, pp.21-47, 2000. ,
Recompression techniques for adaptive cross approximation, Journal of Integral Equations and Applications, vol.21, pp.331-357, 2009. ,
Adaptive low-rank approximation of collocation matrices, Computing, vol.70, issue.1, pp.1-24, 2003. ,
On a class of preconditioning methods for dense linear systems from boundary elements, SIAM Journal on Scientific Computing, vol.20, issue.2, pp.684-698, 1998. ,
On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem, Journal of Computational and Applied Mathematics, vol.156, issue.2, pp.303-318, 2003. ,
Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods, International Journal for Numerical Methods in Engineering, vol.58, issue.13, pp.1937-1953, 2003. ,
Preconditioning for boundary integral equations, SIAM Journal on Matrix Analysis and Applications, vol.13, issue.3, pp.905-925, 1992. ,
Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation, International Journal for Numerical Methods in Engineering, vol.41, issue.5, pp.875-898, 1998. ,
Hierarchical matrix techniques for low-and high-frequency Helmholtz problems, IMA Journal of Numerical Analysis, vol.28, issue.1, pp.46-79, 2008. ,
Approximate inverse preconditioning of finite element discretizations of elliptic operators with nonsmooth coefficients, SIAM Journal on Matrix Analysis and Applications, vol.27, issue.4, pp.909-929, 2006. ,
Hierarchical LU decomposition-based preconditioners for BEM, Computing, vol.74, issue.3, pp.225-247, 2004. ,
A fast 3D dual boundary element method based on hierarchical matrices, International Journal of Solids and Structures, vol.45, issue.7-8, pp.2355-2376, 2008. ,
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986. ,
Introduction to hierarchical matrices with applications, Engineering Analysis with, Boundary Elements, vol.27, issue.5, pp.405-422, 2003. ,
, Hierarchical matrices, 2008.
, Matrix computations, 2012.
Wideband nested cross approximation for Helmholtz problems, Numerische Mathematik, vol.130, issue.1, pp.1-34, 2015. ,
H-matrix based solvers for 3D elastodynamic boundary integral equations, 2017. ,
ARPACK Users Guide: Solution of Large Scale Eigenvalue Problems by Implicitly Restarted Arnoldi Methods ,
A set of gmres routines for real and complex arithmetics on high performance computers ,
Recycling Krylov Subspaces for Sequences of Linear Systems, SIAM Journal on Scientific Computing, vol.28, issue.5, pp.1651-1674, 2006. ,
A flexible inner-outer preconditioned GMRES algorithm, SIAM Journal on Scientific Computing, vol.14, issue.2, pp.461-469, 1993. ,
A flexible generalized conjugate residual method with inner orthogonalization and deflated restarting, SIAM J. Matrix Analysis Applications, vol.32, pp.1212-1235, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00650239
A scalable H-matrix approach for the solution of boundary integral equations on multi-gpu clusters, 2018. ,