Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 민조홍 | * |
dc.date.accessioned | 2019-07-29T16:30:21Z | - |
dc.date.available | 2019-07-29T16:30:21Z | - |
dc.date.issued | 2018 | * |
dc.identifier.issn | 0021-9991 | * |
dc.identifier.issn | 1090-2716 | * |
dc.identifier.other | OAK-25115 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/250230 | - |
dc.description.abstract | MILU preconditioning is known to be the optimal one among all the ILU-type preconditionings in solving the Poisson equation with Dirichlet boundary condition. It is optimal in the sense that it reduces the condition number from O (h(-2)), which can be obtained from other ILU-type preconditioners, to O (h(-1)). However, with Neumann boundary condition, the conventional MILU cannot be used since it is not invertible, and some MILU preconditionings achieved the order O (h(-1)) only in rectangular domains. In this article, we consider a standard finite volume method for solving the Poisson equation with Neumann boundary condition in general smooth domains, and introduce a new and efficient MILU preconditioning for the method in two dimensional general smooth domains. Our new MILU preconditioning achieved the order O (h(-1)) in all our empirical tests. In addition, in a circular domain with a fine grid, the CG method preconditioned with the proposed MILU runs about two times faster than the CG with ILU. (c) 2017 Elsevier Inc. All rights reserved. | * |
dc.language | English | * |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | * |
dc.subject | Poisson equation | * |
dc.subject | Neumann boundary condition | * |
dc.subject | MILU preconditioning | * |
dc.subject | Purvis-Burkhalter method | * |
dc.subject | Finite volume method | * |
dc.title | An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary condition | * |
dc.type | Article | * |
dc.relation.volume | 356 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 115 | * |
dc.relation.lastpage | 126 | * |
dc.relation.journaltitle | JOURNAL OF COMPUTATIONAL PHYSICS | * |
dc.identifier.doi | 10.1016/j.jcp.2017.11.028 | * |
dc.identifier.wosid | WOS:000422806500006 | * |
dc.author.google | Park, Yesom | * |
dc.author.google | Kim, Jeongho | * |
dc.author.google | Jung, Jinwook | * |
dc.author.google | Lee, Euntaek | * |
dc.author.google | Min, Chohong | * |
dc.contributor.scopusid | 민조홍(57217858452) | * |
dc.date.modifydate | 20231123104234 | * |