✦ LIBER ✦

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

✍ Scribed by Martin B. Van Gijzen

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 95 KB
Volume: 45
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990630)45:6<765::aid-nme607>3.0.co;2-a

No coin nor oath required. For personal study only.

✦ Synopsis

Acoustic problems with damping may give rise to large quadratic eigenproblems, which require e cient and parallelizable solution algorithms. This paper describes such an algorithm: the Jacobi-Davidson solution method for quadratic eigenproblems. In particular, it describes its parallelization according to the Bulk Synchronous Programming model, and its implementation on the massively parallel CRAY T3D. Experimental results for a large-scale acoustic problem show that the method is e cient and parallelizes well, i.e. scales almost linearly up to the maximum number of available processors.

📜 SIMILAR VOLUMES

CONJUGATE GRADIENT METHODS FOR SOLVING T

CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS

✍ Y. T. FENG; D. R. J. OWEN 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1000 KB

In this paper, a detailed description of CG for evaluating eigenvalue problems by minimizing the Rayleigh quotient is presented from both theoretical and computational viewpoints. Three variants of CG together with their asymptotic behaviours and restarted schemes are discussed. In addition, it is s

Computations of eigenpair subsets with t

Computations of eigenpair subsets with the MRRR algorithm

✍ Osni A. Marques; Beresford N. Parlett; Christof Vömel 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB

Problems of the interaction of a blunt b

Problems of the interaction of a blunt body with an acoustic medium

✍ F.M. Borodich 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 557 KB

The parallel computation of solutions to

The parallel computation of solutions to electrostatic problems using multigrid techniques

✍ L. C. Waring; N. Rooney; A. Stewart; V. F. Fusco 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 402 KB

The application of multigrid techniques to the computation of the static solutions of electromagnetic field problems governed by Laplace's equation is described. This technique is compared with the conventional successive over-relaxation (SOR) method for solving finite difference problems. In contra

A modern approach to the solution of pro

A modern approach to the solution of problems of classic elastoplasticity on parallel computers

✍ Arnd Meyer; Detlef Michael 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 3 views

Dedicated to Prof. Erwin Stein on the occasion of his 65th birthday

Parallelization of the ILU(0) preconditi

Parallelization of the ILU(0) preconditioner for CFD problems on shared-memory computers

✍ Laura C. Dutto; Wagdi G. Habashi 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB 👁 3 views

The use of ILU(0) factorization as a preconditioner is quite frequent when solving linear systems of CFD computations. This is because of its efficiency and moderate memory requirements. For a small number of processors, this preconditioner, parallelized through coloring methods, shows little saving