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FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD.

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Title: FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD.
Authors: BOCHEV, P.1 pbboche@sandia.gov, PEREGO, M.1 mperego@sandia.gov, PETERSON, K.1 kjpeter@sandia.gov
Source: SIAM Journal on Numerical Analysis. 2015, Vol. 53 Issue 5, p2363-2388. 26p.
Subjects: Advection-diffusion equations, Finite element method, Numerical analysis, Transport equation, Equations
Abstract: We present and study a parameter-free stabilized finite element method for the scalar advection-diffusion equation. Edge element lifting of diffusive edge fluxes defines the stabilization. The amount of edge diffusion varies with the edge Peclet number and adapts to solution features without mesh-dependent parameters. We prove that the method is first-order accurate in the advective limit. Numerical studies confirm the theoretical estimates. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics 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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PubType: Academic Journal
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  Data: FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD.
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  Data: <searchLink fieldCode="AR" term="%22BOCHEV%2C+P%2E%22">BOCHEV, P.</searchLink><relatesTo>1</relatesTo><i> pbboche@sandia.gov</i><br /><searchLink fieldCode="AR" term="%22PEREGO%2C+M%2E%22">PEREGO, M.</searchLink><relatesTo>1</relatesTo><i> mperego@sandia.gov</i><br /><searchLink fieldCode="AR" term="%22PETERSON%2C+K%2E%22">PETERSON, K.</searchLink><relatesTo>1</relatesTo><i> kjpeter@sandia.gov</i>
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  Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Numerical+Analysis%22">SIAM Journal on Numerical Analysis</searchLink>. 2015, Vol. 53 Issue 5, p2363-2388. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Advection-diffusion+equations%22">Advection-diffusion equations</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Transport+equation%22">Transport equation</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink>
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  Label: Abstract
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  Data: We present and study a parameter-free stabilized finite element method for the scalar advection-diffusion equation. Edge element lifting of diffusive edge fluxes defines the stabilization. The amount of edge diffusion varies with the edge Peclet number and adapts to solution features without mesh-dependent parameters. We prove that the method is first-order accurate in the advective limit. Numerical studies confirm the theoretical estimates. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of SIAM Journal on Numerical Analysis is the property of Society for Industrial & Applied Mathematics 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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        Value: 10.1137/14096284X
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      – Code: eng
        Text: English
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        PageCount: 26
        StartPage: 2363
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      – SubjectFull: Advection-diffusion equations
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Transport equation
        Type: general
      – SubjectFull: Equations
        Type: general
    Titles:
      – TitleFull: FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD.
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            NameFull: BOCHEV, P.
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            NameFull: PEREGO, M.
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              Text: 2015
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              Value: 53
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            – TitleFull: SIAM Journal on Numerical Analysis
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