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Preconditioning finite element subsurface flow solutions on distributed memory parallel computers.

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Preconditioning finite element subsurface flow solutions on distributed memory parallel computers. / Binley, Andrew M.; Murphy, Malcolm F.
In: Advances in Water Resources, Vol. 16, No. 3, 1993, p. 191-202.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Binley, AM & Murphy, MF 1993, 'Preconditioning finite element subsurface flow solutions on distributed memory parallel computers.', Advances in Water Resources, vol. 16, no. 3, pp. 191-202. https://doi.org/10.1016/0309-1708(93)90037-G

APA

Binley, A. M., & Murphy, M. F. (1993). Preconditioning finite element subsurface flow solutions on distributed memory parallel computers. Advances in Water Resources, 16(3), 191-202. https://doi.org/10.1016/0309-1708(93)90037-G

Vancouver

Binley AM, Murphy MF. Preconditioning finite element subsurface flow solutions on distributed memory parallel computers. Advances in Water Resources. 1993;16(3):191-202. doi: 10.1016/0309-1708(93)90037-G

Author

Binley, Andrew M. ; Murphy, Malcolm F. / Preconditioning finite element subsurface flow solutions on distributed memory parallel computers. In: Advances in Water Resources. 1993 ; Vol. 16, No. 3. pp. 191-202.

Bibtex

@article{9e346f0d968f4d1f967dac13a6261c56,
title = "Preconditioning finite element subsurface flow solutions on distributed memory parallel computers.",
abstract = "Due to their low cost and high expansion capabilities, distributed memory parallel computers, consisting of relatively large arrays of processor elements with local memory, offer great potential for solving large scale three-dimensional subsurface flow problems. We consider here two possible solution methods for such detailed modelling using the finite element method. One is based on the commonly used diagonally scaled conjugate gradient method. The other uses an element-by-element preconditioner in the conjugate gradient method which exploits the natural parallelism in the finite element method. Results using both methods are documented for saturated and variably saturated flow simulations carried out on a single Intel i860 processor and an array of Inmos transputer/Intel i860 processors at Lancaster.",
keywords = "parallel computing, groundwater flow, finite element method, conjugate gradient method, element-by-element preconditioning",
author = "Binley, {Andrew M.} and Murphy, {Malcolm F.}",
year = "1993",
doi = "10.1016/0309-1708(93)90037-G",
language = "English",
volume = "16",
pages = "191--202",
journal = "Advances in Water Resources",
publisher = "Elsevier Limited",
number = "3",

}

RIS

TY - JOUR

T1 - Preconditioning finite element subsurface flow solutions on distributed memory parallel computers.

AU - Binley, Andrew M.

AU - Murphy, Malcolm F.

PY - 1993

Y1 - 1993

N2 - Due to their low cost and high expansion capabilities, distributed memory parallel computers, consisting of relatively large arrays of processor elements with local memory, offer great potential for solving large scale three-dimensional subsurface flow problems. We consider here two possible solution methods for such detailed modelling using the finite element method. One is based on the commonly used diagonally scaled conjugate gradient method. The other uses an element-by-element preconditioner in the conjugate gradient method which exploits the natural parallelism in the finite element method. Results using both methods are documented for saturated and variably saturated flow simulations carried out on a single Intel i860 processor and an array of Inmos transputer/Intel i860 processors at Lancaster.

AB - Due to their low cost and high expansion capabilities, distributed memory parallel computers, consisting of relatively large arrays of processor elements with local memory, offer great potential for solving large scale three-dimensional subsurface flow problems. We consider here two possible solution methods for such detailed modelling using the finite element method. One is based on the commonly used diagonally scaled conjugate gradient method. The other uses an element-by-element preconditioner in the conjugate gradient method which exploits the natural parallelism in the finite element method. Results using both methods are documented for saturated and variably saturated flow simulations carried out on a single Intel i860 processor and an array of Inmos transputer/Intel i860 processors at Lancaster.

KW - parallel computing

KW - groundwater flow

KW - finite element method

KW - conjugate gradient method

KW - element-by-element preconditioning

U2 - 10.1016/0309-1708(93)90037-G

DO - 10.1016/0309-1708(93)90037-G

M3 - Journal article

VL - 16

SP - 191

EP - 202

JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 3

ER -