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