On the efficiency of nested GMRES preconditioners for 3D acoustic and elastodynamic \(\mathcal{H}\)-matrix accelerated boundary element methods
DOI10.1016/j.camwa.2020.03.021zbMath1446.65189OpenAlexW3020424711MaRDI QIDQ2197860
Félix Kpadonou, Stéphanie Chaillat, Patrick~jun. Ciarlet
Publication date: 1 September 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.021
Wave scattering in solid mechanics (74J20) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
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- Hierarchical LU decomposition-based preconditioners for BEM
- A high order spectral algorithm for elastic obstacle scattering in three dimensions
- Recompression techniques for adaptive cross approximation
- Fast Calderón preconditioning for Helmholtz boundary integral equations
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- Boundary integral equations
- A fast 3D dual boundary element method based on hierarchical matrices
- Rapid solution of integral equations of classical potential theory
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem
- Adaptive low-rank approximation of collocation matrices
- Introduction to hierarchical matrices with applications.
- Approximation of boundary element matrices
- Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
- Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
- Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems
- A high-order algorithm for obstacle scattering in three dimensions
- A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
- Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods
- On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation
- Wideband nested cross approximation for Helmholtz problems
- A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting
- Sparse symmetric preconditioners for dense linear systems in electromagnetism
- Recycling Krylov Subspaces for Sequences of Linear Systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Preconditioning for Boundary Integral Equations
- On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
- ARPACK Users' Guide
- Efficient preconditioners for boundary element matrices based on grey-box algebraic multigrid methods
- A wideband fast multipole accelerated boundary integral equation method for time‐harmonic elastodynamics in two dimensions
- Uniform preconditioners for problems of negative order
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Hierarchical matrix techniques for low- and high-frequency Helmholtz problems
- Algorithm 842
- Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators with Nonsmooth Coefficients
- A fast algorithm for particle simulations
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