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A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems.

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Title: A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems.
Authors: Peng, Jie1 (AUTHOR) pengjie24@hynu.edu.cn, Shu, Shi2,3 (AUTHOR) shushi@xtu.edu.cn, Wang, Junxian1,2,3 (AUTHOR) wangjunxian@xtu.edu.cn, Zhong, Liuqiang4 (AUTHOR) zhong@scnu.edu.cn
Source: Computers & Mathematics with Applications. Jun2026, Vol. 212, p98-110. 13p.
Subjects: Advection-diffusion equations, Domain decomposition methods, Linear systems, Numerical analysis
Abstract: The solution of nonsymmetric but positive definite (NSPD) systems arising from advection-diffusion problems is an important research topic in science and engineering. Balancing domain decomposition by constraints with an adaptive coarse space(adaptive BDDC) constitute a significant class of nonoverlapping domain decomposition methods, commonly used for symmetric positive definite problems. In this paper, we propose an adaptive BDDC method that incorporates a class of edge generalized eigenvalue problems based on prior selected primal constraints to solve NSPD systems from advection-diffusion problems. Compared with the previous adaptive BDDC method for such systems, the proposed approach further reduces the number of primal unknowns. Numerical experiments show that although the iteration count increases slightly, the overall computational time is significantly reduced. [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
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DbLabel: Engineering Source
An: 193498701
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  Data: A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems.
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  Data: <searchLink fieldCode="AR" term="%22Peng%2C+Jie%22">Peng, Jie</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> pengjie24@hynu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Shu%2C+Shi%22">Shu, Shi</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> shushi@xtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Junxian%22">Wang, Junxian</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> wangjunxian@xtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhong%2C+Liuqiang%22">Zhong, Liuqiang</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> zhong@scnu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Jun2026, Vol. 212, p98-110. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Advection-diffusion+equations%22">Advection-diffusion equations</searchLink><br /><searchLink fieldCode="DE" term="%22Domain+decomposition+methods%22">Domain decomposition methods</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The solution of nonsymmetric but positive definite (NSPD) systems arising from advection-diffusion problems is an important research topic in science and engineering. Balancing domain decomposition by constraints with an adaptive coarse space(adaptive BDDC) constitute a significant class of nonoverlapping domain decomposition methods, commonly used for symmetric positive definite problems. In this paper, we propose an adaptive BDDC method that incorporates a class of edge generalized eigenvalue problems based on prior selected primal constraints to solve NSPD systems from advection-diffusion problems. Compared with the previous adaptive BDDC method for such systems, the proposed approach further reduces the number of primal unknowns. Numerical experiments show that although the iteration count increases slightly, the overall computational time is significantly reduced. [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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      – Type: doi
        Value: 10.1016/j.camwa.2026.03.015
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 98
    Subjects:
      – SubjectFull: Advection-diffusion equations
        Type: general
      – SubjectFull: Domain decomposition methods
        Type: general
      – SubjectFull: Linear systems
        Type: general
      – SubjectFull: Numerical analysis
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      – TitleFull: A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems.
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            NameFull: Shu, Shi
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            NameFull: Wang, Junxian
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            – D: 15
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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