Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics.
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| Title: | Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. |
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| Authors: | Badia, Santiago sbadia@cimne.upc.edu, Codina, Ramon1, Planas, Ramon rplanas@cimne.upc.edu |
| Source: | Archives of Computational Methods in Engineering. Nov2015, Vol. 22 Issue 4, p621-636. 16p. |
| Subjects: | Finite element method, Magnetohydrodynamics, Incompressible flow, Singular integrals, Reynolds number, Electric conductivity |
| Abstract: | In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the fact that it always converges to the physical solution, even when it is singular. We have performed a detailed stability and convergence analysis of the formulation in a simplified setting. From the convergence analysis, we infer that a particular type of meshes with a macro-element structure is needed, which can be easily obtained after a straight modification of any original mesh. [ABSTRACT FROM AUTHOR] |
| Copyright of Archives of Computational Methods in Engineering is the property of Springer Nature 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: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 109992352 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Badia%2C+Santiago%22">Badia, Santiago</searchLink><i> sbadia@cimne.upc.edu</i><br /><searchLink fieldCode="AR" term="%22Codina%2C+Ramon%22">Codina, Ramon</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Planas%2C+Ramon%22">Planas, Ramon</searchLink><i> rplanas@cimne.upc.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Archives+of+Computational+Methods+in+Engineering%22">Archives of Computational Methods in Engineering</searchLink>. Nov2015, Vol. 22 Issue 4, p621-636. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetohydrodynamics%22">Magnetohydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Singular+integrals%22">Singular integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+conductivity%22">Electric conductivity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the fact that it always converges to the physical solution, even when it is singular. We have performed a detailed stability and convergence analysis of the formulation in a simplified setting. From the convergence analysis, we infer that a particular type of meshes with a macro-element structure is needed, which can be easily obtained after a straight modification of any original mesh. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Archives of Computational Methods in Engineering is the property of Springer Nature 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: 10.1007/s11831-014-9129-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 621 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Magnetohydrodynamics Type: general – SubjectFull: Incompressible flow Type: general – SubjectFull: Singular integrals Type: general – SubjectFull: Reynolds number Type: general – SubjectFull: Electric conductivity Type: general Titles: – TitleFull: Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Badia, Santiago – PersonEntity: Name: NameFull: Codina, Ramon – PersonEntity: Name: NameFull: Planas, Ramon IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 11343060 Numbering: – Type: volume Value: 22 – Type: issue Value: 4 Titles: – TitleFull: Archives of Computational Methods in Engineering Type: main |
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