Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 민조홍 | * |
dc.date.accessioned | 2018-12-07T16:30:35Z | - |
dc.date.available | 2018-12-07T16:30:35Z | - |
dc.date.issued | 2017 | * |
dc.identifier.issn | 1539-6746 | * |
dc.identifier.other | OAK-20884 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/247360 | - |
dc.description.abstract | The Hodge projection of a vector field is the divergence-free component of its Helmholtz decomposition. In a bounded domain, a boundary condition needs to be supplied to the decomposition. The decomposition with the non-penetration boundary condition is equivalent to solving the Poisson equation with the Neumann boundary condition. The Gibou-Min method is an application of the Poisson solver by Purvis and Burkhalter to the decomposition. In the decomposition by the Gibou-Min method, an important L2-orthogonality holds between the gradient field and the solenoidal field, which is similar to the continuous Hodge decomposition. Using the orthogonality, we present a novel analysis which shows that the convergence order is 1.5 in the L2-norm for approximating the divergence-free vector field. Numerical results are presented to validate our analyses. © 2017 International Press. | * |
dc.description.sponsorship | National Institute for Materials Science | * |
dc.language | English | * |
dc.publisher | International Press of Boston, Inc. | * |
dc.subject | Finite volume method | * |
dc.subject | Gibou-Min | * |
dc.subject | Hodge projection | * |
dc.subject | Poisson equation | * |
dc.title | Convergence analysis on the Gibou-Min method for the Hodge projection | * |
dc.type | Article | * |
dc.relation.issue | 5 | * |
dc.relation.volume | 15 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 1211 | * |
dc.relation.lastpage | 1220 | * |
dc.relation.journaltitle | Communications in Mathematical Sciences | * |
dc.identifier.doi | 10.4310/CMS.2017.v15.n5.a2 | * |
dc.identifier.wosid | WOS:000404018900002 | * |
dc.identifier.scopusid | 2-s2.0-85021372646 | * |
dc.author.google | Yoon G. | * |
dc.author.google | Park J.-H. | * |
dc.author.google | Min C. | * |
dc.contributor.scopusid | 민조홍(57217858452) | * |
dc.date.modifydate | 20231123104234 | * |