View in EDS HTML Full Text PDF Full Text

Adaptive Block Algebraic Multigrid Method for Multiphysics Problems.

Saved in:
Bibliographic Details
Title: Adaptive Block Algebraic Multigrid Method for Multiphysics Problems.
Authors: Konshin, I. N.1,2,3 (AUTHOR) igor.konshin@gmail.com, Terekhov, K. M.1,4 (AUTHOR) terekhov@inm.ras.ru
Source: Computational Mathematics & Mathematical Physics. Jul2025, Vol. 65 Issue 7, p1495-1519. 25p.
Subjects: Algebraic multigrid methods, Poroelasticity, Research methodology, Computational physics, Finite volume method
Abstract: We propose the adaptive block algebraic method to solve the multiphysics problems arising from the collocated finite volume discretization methods. The method is specifically designed to solve multiphysics problems featuring various physics in various parts of the domain, resulting in block-structured saddle-point linear algebraic systems with variable block size. The adaptive algebraic multigrid method uses available information on the eigenvectors of the problem to construct prolongation and restriction operators. The information on the distribution of degrees of freedom within the blocks to form an initial set of vectors is used. It was shown that the arising linear systems are amenable to the solution with the proposed method. Various approaches to strong point selection, coarse space refinement, and bootstrapping the test vectors are discussed and analysed. In this work, we address the systems arising from coupled problems of free-flow and poroelasticity, frictional rigid body contact mechanics, and poroplasticity with fractures. All of the problems are of saddle-point nature. [ABSTRACT FROM AUTHOR]
Copyright of Computational Mathematics & Mathematical Physics 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
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 187459522
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Adaptive Block Algebraic Multigrid Method for Multiphysics Problems.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Konshin%2C+I%2E+N%2E%22">Konshin, I. N.</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> igor.konshin@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Terekhov%2C+K%2E+M%2E%22">Terekhov, K. M.</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<i> terekhov@inm.ras.ru</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Computational+Mathematics+%26+Mathematical+Physics%22">Computational Mathematics & Mathematical Physics</searchLink>. Jul2025, Vol. 65 Issue 7, p1495-1519. 25p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Algebraic+multigrid+methods%22">Algebraic multigrid methods</searchLink><br /><searchLink fieldCode="DE" term="%22Poroelasticity%22">Poroelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Research+methodology%22">Research methodology</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+physics%22">Computational physics</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+volume+method%22">Finite volume method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We propose the adaptive block algebraic method to solve the multiphysics problems arising from the collocated finite volume discretization methods. The method is specifically designed to solve multiphysics problems featuring various physics in various parts of the domain, resulting in block-structured saddle-point linear algebraic systems with variable block size. The adaptive algebraic multigrid method uses available information on the eigenvectors of the problem to construct prolongation and restriction operators. The information on the distribution of degrees of freedom within the blocks to form an initial set of vectors is used. It was shown that the arising linear systems are amenable to the solution with the proposed method. Various approaches to strong point selection, coarse space refinement, and bootstrapping the test vectors are discussed and analysed. In this work, we address the systems arising from coupled problems of free-flow and poroelasticity, frictional rigid body contact mechanics, and poroplasticity with fractures. All of the problems are of saddle-point nature. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computational Mathematics & Mathematical Physics 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=187459522
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1134/S0965542525700599
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 1495
    Subjects:
      – SubjectFull: Algebraic multigrid methods
        Type: general
      – SubjectFull: Poroelasticity
        Type: general
      – SubjectFull: Research methodology
        Type: general
      – SubjectFull: Computational physics
        Type: general
      – SubjectFull: Finite volume method
        Type: general
    Titles:
      – TitleFull: Adaptive Block Algebraic Multigrid Method for Multiphysics Problems.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Konshin, I. N.
      – PersonEntity:
          Name:
            NameFull: Terekhov, K. M.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 09655425
          Numbering:
            – Type: volume
              Value: 65
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: Computational Mathematics & Mathematical Physics
              Type: main
ResultId 1