A parallel version of the preconditioned conjugate gradient method for boundary element equations

Pester, Matthias; Rjasanow, Sergej

doi:10.1002/nla.1680020102

Cited by 4 publications

(1 citation statement)

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“…They gave presentations about their experiences afterwards and the first author still remembers the tuning for the best overlapping of communication and computation in the dense matrix-vector product by the second author. This experience also contributed to further results on basic algorithms and on the parallel boundary element methods [41,42,43,44].…”

Section: Summer School 1988mentioning

confidence: 94%

A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz

Haase

Pester

2013

Advanced Finite Element Methods and Applications

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Abstract. The paper recalls the period 1988-1993 when the research on parallel algorithms and their implementation started in Karl-Marx-Stadt (renamed to Chemnitz in 1990). We consider the research group formed at this time and the hardware available to this group. Parallel hardware as the transputer is considered and the ancient parallel computers from that time are depicted. The group has been formed by the series of workshops and seminars that took place; and the FEM-Symposium is still organized annually. We will focus on a few of these activities and present the developments in hardware, numerical methods, parallel algorithms and analysis that have been discussed between professors, research assistants and students. The paper contains also a brief view on parallel computers available to that group today and some examples document how the computing power has increased during a period of more than 20 years.

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Section: Summer School 1988mentioning

confidence: 94%

A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz

Haase

Pester

2013

Advanced Finite Element Methods and Applications

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A Parallel Preconditioned Iterative Realization of the Panel Method in 3D

Pester

Rjasanow

1996

Numer. Linear Algebra Appl.

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The parallel version of precondition iterative techniques is developed for matrices arising from the panel boundary element method for three‐dimensional simple connected domains with Dirichlet boundary conditions. Results were obtained on an nCube‐2 parallel computer showing that preconditioned iterative methods are very well suited also in three‐dimensional cases for implementation on an MIMD computer and that they are much more efficient than usual direct solution techniques.

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