A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations
<p dir="ltr">In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear equations originating from flow simula...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , |
| منشور في: |
2021
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513546414456832 |
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| author | Stefano Nardean (14151900) |
| author2 | Massimiliano Ferronato (14151903) Ahmad S. Abushaikha (14151651) |
| author2_role | author author |
| author_facet | Stefano Nardean (14151900) Massimiliano Ferronato (14151903) Ahmad S. Abushaikha (14151651) |
| author_role | author |
| dc.creator.none.fl_str_mv | Stefano Nardean (14151900) Massimiliano Ferronato (14151903) Ahmad S. Abushaikha (14151651) |
| dc.date.none.fl_str_mv | 2021-10-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.jcp.2021.110513 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/A_novel_block_non-symmetric_preconditioner_for_mixed-hybrid_finite-element-based_Darcy_flow_simulations/24433240 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Earth sciences Geology Hydrology Mathematical sciences Numerical and computational mathematics Flow in porous media Preconditioning Block matrices |
| dc.title.none.fl_str_mv | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear equations originating from flow simulations in porous media. The flow model is discretized blending the Mixed hybrid finite element method for Darcy's equation with the Finite volume scheme for the mass conservation. The EDFA preconditioner is characterized by two features: the exploitation of the system matrix decoupling factors to recast the Schur complement and their inexact fully-parallel computation by means of restriction operators. We introduce two adaptive techniques aimed at building the restriction operators according to the properties of the system at hand. The proposed block preconditioner has been tested through extensive experimentation on both synthetic and real-case applications, pointing out its robustness and computational efficiency.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Computational Physics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.jcp.2021.110513" target="_blank">https://dx.doi.org/10.1016/j.jcp.2021.110513</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_fe5845786d189c646907314c2083c44e |
| identifier_str_mv | 10.1016/j.jcp.2021.110513 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24433240 |
| publishDate | 2021 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulationsStefano Nardean (14151900)Massimiliano Ferronato (14151903)Ahmad S. Abushaikha (14151651)Earth sciencesGeologyHydrologyMathematical sciencesNumerical and computational mathematicsFlow in porous mediaPreconditioningBlock matrices<p dir="ltr">In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear equations originating from flow simulations in porous media. The flow model is discretized blending the Mixed hybrid finite element method for Darcy's equation with the Finite volume scheme for the mass conservation. The EDFA preconditioner is characterized by two features: the exploitation of the system matrix decoupling factors to recast the Schur complement and their inexact fully-parallel computation by means of restriction operators. We introduce two adaptive techniques aimed at building the restriction operators according to the properties of the system at hand. The proposed block preconditioner has been tested through extensive experimentation on both synthetic and real-case applications, pointing out its robustness and computational efficiency.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Computational Physics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.jcp.2021.110513" target="_blank">https://dx.doi.org/10.1016/j.jcp.2021.110513</a></p>2021-10-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.jcp.2021.110513https://figshare.com/articles/journal_contribution/A_novel_block_non-symmetric_preconditioner_for_mixed-hybrid_finite-element-based_Darcy_flow_simulations/24433240CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/244332402021-10-01T00:00:00Z |
| spellingShingle | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations Stefano Nardean (14151900) Earth sciences Geology Hydrology Mathematical sciences Numerical and computational mathematics Flow in porous media Preconditioning Block matrices |
| status_str | publishedVersion |
| title | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| title_full | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| title_fullStr | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| title_full_unstemmed | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| title_short | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| title_sort | A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations |
| topic | Earth sciences Geology Hydrology Mathematical sciences Numerical and computational mathematics Flow in porous media Preconditioning Block matrices |