Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation

DOI10.1016/j.enganabound.2021.05.003OpenAlexW3172713771MaRDI QIDQ2040841

Nicole Kessissoglou, Mahmoud Karimi, Christopher Jelich, Steffen Marburg

Publication date: 14 July 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10453/149454

zbMATH Keywords

boundary element methodblock Toeplitz matrixsequence of linear systemsblock Krylov solverglobal Krylov solver

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (2)

Fast multipole boundary element method for the acoustic analysis of finite periodic structures ⋮ Recent Advances in Acoustic Boundary Element Methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An integral method for solving nonlinear eigenvalue problems
• A fast algorithm for the inversion of general Toeplitz matrices
• Solution of systems with Toeplitz matrices generated by rational functions
• Efficient solution of linear systems of equations with recursive structure
• Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasi-minimal residual algorithm
• A block version of BiCGSTAB for linear systems with multiple right-hand sides
• Global FOM and GMRES algorithms for matrix equations
• An analytical and numerical investigation of acoustic attenuation by a finite sonic crystal
• An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method
• Incremental spectral preconditioners for sequences of linear systems
• On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders
• Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering
• A numerical method for nonlinear eigenvalue problems using contour integrals
• A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides
• A projection method for nonlinear eigenvalue problems using contour integrals
• A Skew Toeplitz Approach to the $H^\infty $ Optimal Control of Multivariable Distributed Systems
• A Superfast Algorithm for Toeplitz Systems of Linear Equations
• Recycling Krylov Subspaces for Sequences of Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Proposal for Toeplitz Matrix Calculations
• Fast solution of toeplitz systems of equations and computation of Padé approximants
• The Discrete Cosine Transform
• Fast Band-Toeplitz Preconditioners for Hermitian Toeplitz Systems
• Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
• A Fast Stable Solver for Nonsymmetric Toeplitz and Quasi-Toeplitz Systems of Linear Equations
• A Superfast Toeplitz Solver with Improved Numerical Stability
• GMRES with Deflated Restarting
• Toeplitz Compressed Sensing Matrices With Applications to Sparse Channel Estimation
• An Introduction to Iterative Toeplitz Solvers
• On Improving Linear Solver Performance: A Block Variant of GMRES

This page was built for publication: Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation