SOLVING THE HELMHOLTZ-EQUATION AT HIGH-WAVE NUMBERS ON A PARALLEL COMPUTER WITH A SHARED VIRTUAL MEMORY

Authors
BRISTEAU MO ERHEL J FEAT P GLOWINSKI R PERIAUX J
Citation
Mo. Bristeau et al., SOLVING THE HELMHOLTZ-EQUATION AT HIGH-WAVE NUMBERS ON A PARALLEL COMPUTER WITH A SHARED VIRTUAL MEMORY, The international journal of supercomputer applications and high performance computing, 9(1), 1995, pp. 18-28
Citations number
8
Categorie Soggetti
Computer Application, Chemistry & Engineering","Computer Sciences, Special Topics","Computer Science Hardware & Architecture","Computer Science Interdisciplinary Applications
Journal title
The international journal of supercomputer applications and high performance computing → ACNP
ISSN journal
10783482
Volume
9
Issue
1
Year of publication
1995
Pages
18 - 28
Database
ISI
SICI code
1078-3482(1995)9:1<18:STHAHN>2.0.ZU;2-J
Abstract
In this paper, we address the implementation of finite element codes o n a parallel computer providing a shared virtual memory. We solve the Helmholtz equation at high-wave numbers by a method combining the leas t-squares formulation and finite-element discretization. Numerical exp eriments concerning the scattering of planar waves by nonconvex obstac les show the efficiency of the new algorithm. Parallelism relies heavi ly on shared variables and parallel loops; performances are enhanced b y considering local versus global nodes and by renumbering the mesh. E xperiments are implemented on a KSR computer with up to 20 processors.