Iterative solution of multiple radiation and scattering problems in structural acoustics using a block quasi-minimal residual algorithm
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Publication:1376630
DOI10.1016/S0045-7825(96)01227-3zbMath0901.76059OpenAlexW2000537069MaRDI QIDQ1376630
Roland W. Freund, Peter M. Pinsky, Manish Malhotra
Publication date: 21 January 1998
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01227-3
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05)
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Uses Software
Cites Work
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- A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
- Basis function selection and preconditioning high degree finite element and spectral methods
- A survey of preconditioned iterative methods for linear systems of algebraic equations
- On the multi-level splitting of finite element spaces
- Preconditioning indefinite discretization matrices
- Exact non-reflecting boundary conditions
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- Software for simplified Lanczos and QMR algorithms
- Parallel preconditioning based on \(h\)-hierarchical finite elements with application to acoustics
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
- Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices
- A Lanczos-type method for multiple starting vectors
- A Block QMR Method for Computing Multiple Simultaneous Solutions to Complex Symmetric Systems
- Methods of conjugate gradients for solving linear systems