An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface.
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| Title: | An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface. |
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| Authors: | Wang, Ziping1 (AUTHOR) wzp@mail.dlut.edu.cn, Xia, Guangqing1,2,3 (AUTHOR) gq.xia@dlut.edu.cn, Han, Yajie1 (AUTHOR) hanyajie03@mail.dlut.edu.cn, Lu, Chang1 (AUTHOR) changlu@dlut.edu.cn, Zhang, Lin4 (AUTHOR) zhanglin@clabso.com, Xu, Gang5 (AUTHOR) gxu@njnu.edu.cn |
| Source: | Computers & Mathematics with Applications. Aug2025, Vol. 192, p155-171. 17p. |
| Subjects: | Plasma diffusion, Finite element method, Magnetic fields, Engineering simulations, Plasma materials processing, Plasma sheaths |
| Abstract: | Via introducing the Robin flux jump into the Galerkin scheme, this paper develops a new anisotropic trilinear immersed finite element (IFE) method for solving the magnetized plasma diffusion problem with plasma sheath interface condition under Cartesian meshes. The three-dimensional (3D) diffusion process of magnetized plasma is anisotropic and highly sensitive to magnetic fields, making it difficult to efficiently solve by commonly used body fitted mesh methods when the simulation domain has complex boundary conditions. Even worse, the plasma sheath boundary will further exacerbates its solving difficulty. The presented method first utilizes the anisotropic trilinear IFE basis functions describing the diffusion of magnetized plasma in interface elements. Then the trilinear IFE basis functions are used to handle the plasma sheath interface conditions, i.e. the Robin flux jump conditions. As for the other non interface elements, the traditional trilinear basis functions are used. On this basis, a new Galerkin scheme is derived and applied to efficiently solving the plasma anisotropic diffusion problem with the Robin flux jump interfaces in Cartesian meshes. The proposed method can also solve other types of elliptical interface problems via controlling the coefficients. Moreover, the orthogonal meshes makes it convenient to couple other Cartesian mesh based methods, such as the particle-in-cell method, which provides an advanced tool for solving plasma transport problems. Numerical experiments are provided to demonstrate the proposed method and show the applicability in the simulations of actual engineering issues. [ABSTRACT FROM AUTHOR] |
| Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science 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 | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 185773800 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang%2C+Ziping%22">Wang, Ziping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wzp@mail.dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xia%2C+Guangqing%22">Xia, Guangqing</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> gq.xia@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Han%2C+Yajie%22">Han, Yajie</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hanyajie03@mail.dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Lu%2C+Chang%22">Lu, Chang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> changlu@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Lin%22">Zhang, Lin</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> zhanglin@clabso.com</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Gang%22">Xu, Gang</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> gxu@njnu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Aug2025, Vol. 192, p155-171. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Plasma+diffusion%22">Plasma diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+simulations%22">Engineering simulations</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+materials+processing%22">Plasma materials processing</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+sheaths%22">Plasma sheaths</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Via introducing the Robin flux jump into the Galerkin scheme, this paper develops a new anisotropic trilinear immersed finite element (IFE) method for solving the magnetized plasma diffusion problem with plasma sheath interface condition under Cartesian meshes. The three-dimensional (3D) diffusion process of magnetized plasma is anisotropic and highly sensitive to magnetic fields, making it difficult to efficiently solve by commonly used body fitted mesh methods when the simulation domain has complex boundary conditions. Even worse, the plasma sheath boundary will further exacerbates its solving difficulty. The presented method first utilizes the anisotropic trilinear IFE basis functions describing the diffusion of magnetized plasma in interface elements. Then the trilinear IFE basis functions are used to handle the plasma sheath interface conditions, i.e. the Robin flux jump conditions. As for the other non interface elements, the traditional trilinear basis functions are used. On this basis, a new Galerkin scheme is derived and applied to efficiently solving the plasma anisotropic diffusion problem with the Robin flux jump interfaces in Cartesian meshes. The proposed method can also solve other types of elliptical interface problems via controlling the coefficients. Moreover, the orthogonal meshes makes it convenient to couple other Cartesian mesh based methods, such as the particle-in-cell method, which provides an advanced tool for solving plasma transport problems. Numerical experiments are provided to demonstrate the proposed method and show the applicability in the simulations of actual engineering issues. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science 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: 10.1016/j.camwa.2025.05.017 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 155 Subjects: – SubjectFull: Plasma diffusion Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Magnetic fields Type: general – SubjectFull: Engineering simulations Type: general – SubjectFull: Plasma materials processing Type: general – SubjectFull: Plasma sheaths Type: general Titles: – TitleFull: An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang, Ziping – PersonEntity: Name: NameFull: Xia, Guangqing – PersonEntity: Name: NameFull: Han, Yajie – PersonEntity: Name: NameFull: Lu, Chang – PersonEntity: Name: NameFull: Zhang, Lin – PersonEntity: Name: NameFull: Xu, Gang IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 08981221 Numbering: – Type: volume Value: 192 Titles: – TitleFull: Computers & Mathematics with Applications Type: main |
| ResultId | 1 |
