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- Publisher Website: 10.1016/j.jcp.2019.05.009
- Scopus: eid_2-s2.0-85065747273
- WOS: WOS:000470685600004
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Article: Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method
| Title | Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method |
|---|---|
| Authors | |
| Keywords | Flow in heterogeneous media Goal-oriented adaptivity Multiscale finite element method Online basis construction |
| Issue Date | 2019 |
| Citation | Journal of Computational Physics, 2019, v. 393, p. 59-73 How to Cite? |
| Abstract | In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves construction of residual-based primal and dual basis functions used to enrich the multiscale space at each stage of the adaptive algorithm. Three different online enrichment strategies based on the primal-dual online basis construction are proposed: standard, primal-dual combined and primal-dual product based. Numerical experiments are performed to illustrate the efficiency of the proposed methods for high-contrast heterogeneous problems. |
| Persistent Identifier | http://hdl.handle.net/10722/327673 |
| ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 1.679 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chung, Eric | - |
| dc.contributor.author | Pollock, Sara | - |
| dc.contributor.author | Pun, Sai Mang | - |
| dc.date.accessioned | 2023-04-12T04:04:58Z | - |
| dc.date.available | 2023-04-12T04:04:58Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Journal of Computational Physics, 2019, v. 393, p. 59-73 | - |
| dc.identifier.issn | 0021-9991 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/327673 | - |
| dc.description.abstract | In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves construction of residual-based primal and dual basis functions used to enrich the multiscale space at each stage of the adaptive algorithm. Three different online enrichment strategies based on the primal-dual online basis construction are proposed: standard, primal-dual combined and primal-dual product based. Numerical experiments are performed to illustrate the efficiency of the proposed methods for high-contrast heterogeneous problems. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal of Computational Physics | - |
| dc.subject | Flow in heterogeneous media | - |
| dc.subject | Goal-oriented adaptivity | - |
| dc.subject | Multiscale finite element method | - |
| dc.subject | Online basis construction | - |
| dc.title | Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.jcp.2019.05.009 | - |
| dc.identifier.scopus | eid_2-s2.0-85065747273 | - |
| dc.identifier.volume | 393 | - |
| dc.identifier.spage | 59 | - |
| dc.identifier.epage | 73 | - |
| dc.identifier.eissn | 1090-2716 | - |
| dc.identifier.isi | WOS:000470685600004 | - |