A combination of the fast multipole boundary element method and Krylov subspace recycling solvers
From MaRDI portal
Publication:1655001
DOI10.1016/j.enganabound.2016.01.008zbMath1403.65202OpenAlexW2268712302MaRDI QIDQ1655001
Sören Keuchel, Jan Biermann, Otto von Estorff
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.01.008
boundary element methodHelmholtz equationfast multipole methoditerative solversKrylov subspace recycling
Boundary element methods for boundary value problems involving PDEs (65N38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
Krylov subspaces recycling based model order reduction for acoustic BEM systems and an error estimator ⋮ An accelerated subspaces recycling strategy for the deflation of parametric linear systems based on model order reduction ⋮ A survey of subspace recycling iterative methods ⋮ Hybrid Projection Methods with Recycling for Inverse Problems ⋮ An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems ⋮ Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics ⋮ Hybrid Projection Methods with Recycling for Inverse Problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Adaptive fast multipole boundary element method for three-dimensional half-space acoustic wave problems
- An efficient algebraic multigrid preconditioner for a fast multipole boundary element method
- Rapid solution of integral equations of scattering theory in two dimensions
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- Approximation of boundary element matrices
- Analysis of acceleration strategies for restarted minimal residual methods
- Parallel two level block ILU preconditioning techniques for solving large sparse linear systems
- Nested Krylov methods based on GCR
- Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation
- A wideband fast multipole method for the Helmholtz equation in three dimensions
- Efficient technique in low-frequency fast multipole boundary element method for plane-symmetric acoustic problems
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- Deflated Restarting for Matrix Functions
- A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem
- Recycling Krylov Subspaces for Sequences of Linear Systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Truncation Strategies for Optimal Krylov Subspace Methods
- Numerical Methods for Computing Angles Between Linear Subspaces
- GMRES with Deflated Restarting
- A Restarted GMRES Method Augmented with Eigenvectors
- GMRESR: a family of nested GMRES methods
- A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- A Technique for Accelerating the Convergence of Restarted GMRES
- Recycling Subspace Information for Diffuse Optical Tomography
- Improved Integral Formulation for Acoustic Radiation Problems
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- A fast algorithm for particle simulations
- DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems