Distributed finite element calculations on transputer arrays and the DAP

Willis, Cathy; Wait, R.

doi:10.1016/0956-0521(91)90008-s

Cited by 3 publications

(2 citation statements)

References 4 publications

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“…EBE preconditioning considers the h = P-lr stage of the PCG algorithm by accumulating the individual factorizations of the element equations. The parallel efficiency of these schemes appears high although inaccuracies have been reported (see for example, Willis and Wait, 1989). At present there does not appear to be common agreement on optimum general purpose preconditioners for subsurface problems.…”

Section: Numerical Solutionmentioning

confidence: 89%

Three‐dimensional modelling of hillslope hydrology

Binley

Beven

1992

Hydrological Processes

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Physically-based models of catchment hydrology are computationally demanding. The cost of even small scale simulations of multidimensional subsurface flow problems is often considered too high and yet may be important if one is to appreciate the complex flow pathways in heterogeneous catchments. This is likely to be the case for problems concerned with transport of chemical substances in soils, in particular those with some localized origin. Recent advances in computer hardware technology and numerical algorithms are beginning to make detailed simulations more feasible. We discuss here issues relating to using these new tools in modelling hillslope flow processes and document an example three-dimensional simulation of a heterogeneous Darcian headwater.

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Section: Numerical Solutionmentioning

confidence: 89%

Three‐dimensional modelling of hillslope hydrology

Binley

Beven

1992

Hydrological Processes

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“…The software is centred on an iterative solver using the preconditioned conjugate gradient method, developed using Occam2 and TDS, see [2], which has been modified for this investigation to facilitate the assembly of the global matrix.. The relevant section of the Algorithm is the calculation of the element matrices and assembly of the global matrix.…”

Section: Experimental Arrangements and Softwarementioning

confidence: 99%

Communication vs. computation-experiences within a finite element analysis application on transputers

Prasad

Wait²

1993 Euromicro Workshop on Parallel and Distributed Processing

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Many parallel numerical algorithms that speed up Finite Element computations have been developed, particularly f o r local memory multiprocessors. The overall performance on a multitransputer machine is governed by the eficiency of the communication amongst the processors and the calculation carried out by each processor. Hence in the distributed calculation of the element matrices and the subsequent assembling of the global matrix there are inherent problems associated with the optimisation of the relative times f o r computation and communication. This paper examines the relative merits of two alternative strategies f o r the calculation of the element matrices and the assembly of the global matrix. Eight noded and twenty noded brick elements have been used f o r the solution of steady state potential and plane strain problems in a comparative study.

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Parallel Computations for Structural Analysis, Re-Analysis and Optimization

Toppingt

Khant

1993

Optimization of Large Structural Systems

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Distributed finite element calculations on transputer arrays and the DAP

Cited by 3 publications

References 4 publications

Three‐dimensional modelling of hillslope hydrology

Three‐dimensional modelling of hillslope hydrology

Communication vs. computation-experiences within a finite element analysis application on transputers

Parallel Computations for Structural Analysis, Re-Analysis and Optimization

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