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- Publisher Website: 10.1016/j.jcp.2021.110572
- Scopus: eid_2-s2.0-85111526953
- WOS: WOS:000690431700006
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Article: Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data
Title | Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data |
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Authors | |
Keywords | Multiscale Heterogeneous Wavelets Parareal Rough initial data Parabolic |
Issue Date | 2021 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp |
Citation | Journal of Computational Physics, 2021, v. 444, article no. 110572 How to Cite? |
Abstract | We propose in this paper the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm to solve parabolic equations with heterogeneous coefficients efficiently. This algorithm combines the advantages of multiscale methods that can deal with heterogeneity in the spatial domain effectively, and the strength of parareal algorithms for speeding up time evolution problems when sufficient processors are available. We derive the convergence rate of this algorithm in terms of the mesh size in the spatial domain, the level parameter used in the multiscale method, the coarse-scale time step and the fine-scale time step. Extensive numerical tests are presented to demonstrate the performance of our algorithm, which verify our theoretical results perfectly. |
Persistent Identifier | http://hdl.handle.net/10722/309096 |
ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 1.679 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, G | - |
dc.contributor.author | Hu, J | - |
dc.date.accessioned | 2021-12-14T01:40:31Z | - |
dc.date.available | 2021-12-14T01:40:31Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Journal of Computational Physics, 2021, v. 444, article no. 110572 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/10722/309096 | - |
dc.description.abstract | We propose in this paper the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm to solve parabolic equations with heterogeneous coefficients efficiently. This algorithm combines the advantages of multiscale methods that can deal with heterogeneity in the spatial domain effectively, and the strength of parareal algorithms for speeding up time evolution problems when sufficient processors are available. We derive the convergence rate of this algorithm in terms of the mesh size in the spatial domain, the level parameter used in the multiscale method, the coarse-scale time step and the fine-scale time step. Extensive numerical tests are presented to demonstrate the performance of our algorithm, which verify our theoretical results perfectly. | - |
dc.language | eng | - |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp | - |
dc.relation.ispartof | Journal of Computational Physics | - |
dc.subject | Multiscale | - |
dc.subject | Heterogeneous | - |
dc.subject | Wavelets | - |
dc.subject | Parareal | - |
dc.subject | Rough initial data | - |
dc.subject | Parabolic | - |
dc.title | Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data | - |
dc.type | Article | - |
dc.identifier.email | Li, G: lotusli@hku.hk | - |
dc.identifier.authority | Li, G=rp02705 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jcp.2021.110572 | - |
dc.identifier.scopus | eid_2-s2.0-85111526953 | - |
dc.identifier.hkuros | 330739 | - |
dc.identifier.volume | 444 | - |
dc.identifier.spage | article no. 110572 | - |
dc.identifier.epage | article no. 110572 | - |
dc.identifier.isi | WOS:000690431700006 | - |
dc.publisher.place | United States | - |