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High-order compact solvers for the three-dimensional Poisson equation

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Title: High-order compact solvers for the three-dimensional Poisson equation
Authors: Sutmann, Godehard g.sutmann@fz-juelich.de, Steffen, Bernhard1 b.steffen@fz-juelich.de
Source: Journal of Computational & Applied Mathematics. Mar2006, Vol. 187 Issue 2, p142-170. 29p.
Subjects: Approximation theory, Finite differences, Numerical analysis, Poisson processes
Abstract: Abstract: New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Padé approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmark problems. It is found that the new schemes exhibit a very good performance and are highly accurate. Especially on large grids they outperform noncompact schemes. [Copyright &y& Elsevier]
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. 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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Header DbId: egs
DbLabel: Engineering Source
An: 19011007
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: High-order compact solvers for the three-dimensional Poisson equation
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  Data: <searchLink fieldCode="AR" term="%22Sutmann%2C+Godehard%22">Sutmann, Godehard</searchLink><i> g.sutmann@fz-juelich.de</i><br /><searchLink fieldCode="AR" term="%22Steffen%2C+Bernhard%22">Steffen, Bernhard</searchLink><relatesTo>1</relatesTo><i> b.steffen@fz-juelich.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Mar2006, Vol. 187 Issue 2, p142-170. 29p.
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  Data: Abstract: New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Padé approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmark problems. It is found that the new schemes exhibit a very good performance and are highly accurate. Especially on large grids they outperform noncompact schemes. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. 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=19011007
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        Value: 10.1016/j.cam.2005.03.041
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      – Code: eng
        Text: English
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        PageCount: 29
        StartPage: 142
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      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Numerical analysis
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      – SubjectFull: Poisson processes
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      – TitleFull: High-order compact solvers for the three-dimensional Poisson equation
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            NameFull: Sutmann, Godehard
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            NameFull: Steffen, Bernhard
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              Text: Mar2006
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