國立虎尾科技大學 |

Critical Points in Simulation Technology.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Critical Points in Simulation Technology./
作者:	Morgan, Hannah.
面頁冊數:	1 online resource (67 pages)
附註:	Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
標題:	Computer science. -
電子資源:	click for full text (PQDT)
ISBN:	9780438084162

Critical Points in Simulation Technology.
Morgan, Hannah.

Critical Points in Simulation Technology. - 1 online resource (67 pages)

Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.

Thesis (Ph.D.)--The University of Chicago, 2018.

Includes bibliographical references

Computer simulation is a powerful tool for exploring real-world processes. Special considerations need to be made at each point to ensure an accurate and efficient simulation. This thesis focuses on topics at different points in the simulation process. We present a finite element algorithm for solving the Stokes system based on the Scott-Vogelius technique together with the iterated penalty method. By projecting the Scott-Vogelius pressure onto a continuous function space, we can recover an accurate, continuous pressure solution while retaining a divergence-free velocity. This algorithm could be of particular interest when modeling incompressible complex fluids where there is a strong dependence on the pressure. Full details of our implementation in the automated finite element software FEniCS are described and numerical results are given. Next, we derive a stochastic performance model for traditional and pipelined Krylov linear solvers. By using a description that accounts for stochastic noise, modeled by an analytical probability distribution, we are able to clarify a folk theorem that pipelined methods can only result in a speedup of 2x over the naive implementation. Examining repeated runs, we are also able to study machine noise in depth. These results are particularly applicable in unpredictable computing environments, such as computing platforms with shared resources. Details of our experiments in the scientific computing software PETSc are given.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780438084162Subjects--Topical Terms:

573171
Computer science.
Index Terms--Genre/Form:

554714
Electronic books.

Critical Points in Simulation Technology.
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500 $a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
500 $a Adviser: L. Ridgway Scott.
502 $a Thesis (Ph.D.)--The University of Chicago, 2018.
504 $a Includes bibliographical references
520 $a Computer simulation is a powerful tool for exploring real-world processes. Special considerations need to be made at each point to ensure an accurate and efficient simulation. This thesis focuses on topics at different points in the simulation process. We present a finite element algorithm for solving the Stokes system based on the Scott-Vogelius technique together with the iterated penalty method. By projecting the Scott-Vogelius pressure onto a continuous function space, we can recover an accurate, continuous pressure solution while retaining a divergence-free velocity. This algorithm could be of particular interest when modeling incompressible complex fluids where there is a strong dependence on the pressure. Full details of our implementation in the automated finite element software FEniCS are described and numerical results are given. Next, we derive a stochastic performance model for traditional and pipelined Krylov linear solvers. By using a description that accounts for stochastic noise, modeled by an analytical probability distribution, we are able to clarify a folk theorem that pipelined methods can only result in a speedup of 2x over the naive implementation. Examining repeated runs, we are also able to study machine noise in depth. These results are particularly applicable in unpredictable computing environments, such as computing platforms with shared resources. Details of our experiments in the scientific computing software PETSc are given.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Computer science. $3 573171
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
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710 2 $a The University of Chicago. $b Computer Science. $3 845504
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