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Article: Computational multiscale method for parabolic wave approximations in heterogeneous media

TitleComputational multiscale method for parabolic wave approximations in heterogeneous media
Authors
Issue Date2022
Citation
Applied Mathematics and Computation, 2022, v. 425, article no. 127044 How to Cite?
AbstractIn this paper, we develop a computational multiscale method to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the method is that one wave propagation direction can be taken as an evolution direction, and one then can discretize it using a classical scheme like backward Euler method. Consequently, one obtains a set of quasi-gas-dynamic (QGD) models with possibly different heterogeneous permeability fields. For coarse discretization, we employ constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to perform spatial model reduction. The resulting system can be solved by combining the central difference in time evolution. Due to the variable media, we apply the technique of proper orthogonal decomposition (POD) to further the dimension of the problem and solve the corresponding model problem in the POD space instead of in the whole multiscale space spanned by all possible multiscale basis functions. We prove the stability of the full discretization scheme and give the convergence analysis of the proposed approximation scheme. Numerical results verify the effectiveness of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/327682
ISSN
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.026
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChung, Eric-
dc.contributor.authorEfendiev, Yalchin-
dc.contributor.authorPun, Sai Mang-
dc.contributor.authorZhang, Zecheng-
dc.date.accessioned2023-04-12T04:05:02Z-
dc.date.available2023-04-12T04:05:02Z-
dc.date.issued2022-
dc.identifier.citationApplied Mathematics and Computation, 2022, v. 425, article no. 127044-
dc.identifier.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/10722/327682-
dc.description.abstractIn this paper, we develop a computational multiscale method to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the method is that one wave propagation direction can be taken as an evolution direction, and one then can discretize it using a classical scheme like backward Euler method. Consequently, one obtains a set of quasi-gas-dynamic (QGD) models with possibly different heterogeneous permeability fields. For coarse discretization, we employ constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to perform spatial model reduction. The resulting system can be solved by combining the central difference in time evolution. Due to the variable media, we apply the technique of proper orthogonal decomposition (POD) to further the dimension of the problem and solve the corresponding model problem in the POD space instead of in the whole multiscale space spanned by all possible multiscale basis functions. We prove the stability of the full discretization scheme and give the convergence analysis of the proposed approximation scheme. Numerical results verify the effectiveness of the proposed method.-
dc.languageeng-
dc.relation.ispartofApplied Mathematics and Computation-
dc.titleComputational multiscale method for parabolic wave approximations in heterogeneous media-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.amc.2022.127044-
dc.identifier.scopuseid_2-s2.0-85126579407-
dc.identifier.volume425-
dc.identifier.spagearticle no. 127044-
dc.identifier.epagearticle no. 127044-
dc.identifier.isiWOS:000793131700018-

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