Academic Journal
lymph : Discontinuous Polytopal Methods for Multi-Physics Differential Problems.
| Title: | lymph : Discontinuous Polytopal Methods for Multi-Physics Differential Problems. |
|---|---|
| Authors: | ANTONIETTI, PAOLA F., BONETTI, STEFANO, BOTTI, MICHELE, CORTI, MATTIA, FUMAGALLI, IVAN, MAZZIERI, ILARIO |
| Source: | ACM Transactions on Mathematical Software; Mar2025, Vol. 51 Issue 1, p1-22, 22p |
| Subject Terms: | Partial differential equations, Galerkin methods, Heat equation, Simulation software, Computer simulation |
| Abstract: | We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a MATLAB library for the discretization of partial differential equations based on high-order discontinuous Galerkin methods on polytopal grids (PolyDG) for spatial discretization coupled with suitable finite-difference time marching schemes. The objective of the article is to introduce the library by describing it in terms of installation, input/output data, and code structure, highlighting—when necessary—key implementation aspects related to the method. A user guide, proceeding step-by-step in the implementation and solution of a Poisson problem, is also provided. In the last part of the article, we show the results obtained for several differential problems, namely the Poisson problem, the heat equation, the elastodynamics system, and a multi-physics problem coupling poroelasticity and acoustic equations. Through these examples, we show the convergence properties and highlight some of the main features of the proposed method, i.e., geometric flexibility, high-order accuracy, and robustness with respect to heterogeneous physical parameters. [ABSTRACT FROM AUTHOR] |
| Copyright of ACM Transactions on Mathematical Software is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Complementary Index |
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| Items | – Name: Title Label: Title Group: Ti Data: lymph : Discontinuous Polytopal Methods for Multi-Physics Differential Problems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22ANTONIETTI%2C+PAOLA+F%2E%22">ANTONIETTI, PAOLA F.</searchLink><br /><searchLink fieldCode="AR" term="%22BONETTI%2C+STEFANO%22">BONETTI, STEFANO</searchLink><br /><searchLink fieldCode="AR" term="%22BOTTI%2C+MICHELE%22">BOTTI, MICHELE</searchLink><br /><searchLink fieldCode="AR" term="%22CORTI%2C+MATTIA%22">CORTI, MATTIA</searchLink><br /><searchLink fieldCode="AR" term="%22FUMAGALLI%2C+IVAN%22">FUMAGALLI, IVAN</searchLink><br /><searchLink fieldCode="AR" term="%22MAZZIERI%2C+ILARIO%22">MAZZIERI, ILARIO</searchLink> – Name: TitleSource Label: Source Group: Src Data: ACM Transactions on Mathematical Software; Mar2025, Vol. 51 Issue 1, p1-22, 22p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+software%22">Simulation software</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a MATLAB library for the discretization of partial differential equations based on high-order discontinuous Galerkin methods on polytopal grids (PolyDG) for spatial discretization coupled with suitable finite-difference time marching schemes. The objective of the article is to introduce the library by describing it in terms of installation, input/output data, and code structure, highlighting—when necessary—key implementation aspects related to the method. A user guide, proceeding step-by-step in the implementation and solution of a Poisson problem, is also provided. In the last part of the article, we show the results obtained for several differential problems, namely the Poisson problem, the heat equation, the elastodynamics system, and a multi-physics problem coupling poroelasticity and acoustic equations. Through these examples, we show the convergence properties and highlight some of the main features of the proposed method, i.e., geometric flexibility, high-order accuracy, and robustness with respect to heterogeneous physical parameters. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of ACM Transactions on Mathematical Software is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1145/3716310 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 1 Subjects: – SubjectFull: Partial differential equations Type: general – SubjectFull: Galerkin methods Type: general – SubjectFull: Heat equation Type: general – SubjectFull: Simulation software Type: general – SubjectFull: Computer simulation Type: general Titles: – TitleFull: lymph : Discontinuous Polytopal Methods for Multi-Physics Differential Problems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: ANTONIETTI, PAOLA F. – PersonEntity: Name: NameFull: BONETTI, STEFANO – PersonEntity: Name: NameFull: BOTTI, MICHELE – PersonEntity: Name: NameFull: CORTI, MATTIA – PersonEntity: Name: NameFull: FUMAGALLI, IVAN – PersonEntity: Name: NameFull: MAZZIERI, ILARIO IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00983500 Numbering: – Type: volume Value: 51 – Type: issue Value: 1 Titles: – TitleFull: ACM Transactions on Mathematical Software Type: main |
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