The parallel computation of the smallest eigenpair of an acoustic problem with damping

DOI<765::AID-NME607>3.0.CO;2-A 10.1002/(SICI)1097-0207(19990630)45:6<765::AID-NME607>3.0.CO;2-AzbMath0932.76040OpenAlexW2160685034MaRDI QIDQ4267141

Martin B. van Gijzen

Publication date: 26 October 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990630)45:6<765::aid-nme607>3.0.co;2-a

zbMATH Keywords

parallelizationbulk synchronous programming modelJacobi-Davidson solutionlarge quadratic eigenproblemsmassively parallel CRAY T3D

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

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The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence ⋮ A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation ⋮ A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation ⋮ A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation ⋮ Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods ⋮ Parallel block ILUT/ILDLT preconditioning for sparse eigenproblems and sparse linear systems

Cites Work

• Unnamed Item
• Reducing the effect of global communication in \(\text{GMRES} (m)\) and CG on parallel distributed memory computers
• Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
• A finite element model for acoustically lined small rooms
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Progress in the numerical solution of the nonsymmetric eigenvalue problem
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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