ADAPTIVE DEFECT-CORRECTION METHODS FOR VISCOUS INCOMPRESSIBLE FLOW PROBLEMS.
Saved in:
| Title: | ADAPTIVE DEFECT-CORRECTION METHODS FOR VISCOUS INCOMPRESSIBLE FLOW PROBLEMS. |
|---|---|
| Authors: | Ervint, V. J.1 ervin@math.clemson.edu, Laytont, W. J.2 wj1+@pitt.edu, Maubacht, J. M.2 wj1+@pitt.edu |
| Source: | SIAM Journal on Numerical Analysis. 2000, Vol. 37 Issue 4, p1165-1185. 21p. |
| Subjects: | Defect correction methods (Numerical analysis), Numerical analysis, Approximation theory, Reynolds number, Viscous flow, Error analysis in mathematics |
| Abstract: | We consider a defect correction method (DCM) which has been used extensively in applications where solutions have sharp transition regions, such as high Reynolds number fluid flow problems. A reliable a posteriori error estimator is derived for a defect correction method. The estimator is further studied for two examples: (a) the case of a linear-diffusion, nonlinear convection-reaction equation, and (b) the nonlinear Navier-Stokes equations. Numerical experiments are provided which illustrate the utility of the resulting adaptive defect correction method for high Reynolds number, incompressible, viscous flow problems. [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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 15109352 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: ADAPTIVE DEFECT-CORRECTION METHODS FOR VISCOUS INCOMPRESSIBLE FLOW PROBLEMS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ervint%2C+V%2E+J%2E%22">Ervint, V. J.</searchLink><relatesTo>1</relatesTo><i> ervin@math.clemson.edu</i><br /><searchLink fieldCode="AR" term="%22Laytont%2C+W%2E+J%2E%22">Laytont, W. J.</searchLink><relatesTo>2</relatesTo><i> wj1+@pitt.edu</i><br /><searchLink fieldCode="AR" term="%22Maubacht%2C+J%2E+M%2E%22">Maubacht, J. M.</searchLink><relatesTo>2</relatesTo><i> wj1+@pitt.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Numerical+Analysis%22">SIAM Journal on Numerical Analysis</searchLink>. 2000, Vol. 37 Issue 4, p1165-1185. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Defect+correction+methods+%28Numerical+analysis%29%22">Defect correction methods (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Viscous+flow%22">Viscous flow</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider a defect correction method (DCM) which has been used extensively in applications where solutions have sharp transition regions, such as high Reynolds number fluid flow problems. A reliable a posteriori error estimator is derived for a defect correction method. The estimator is further studied for two examples: (a) the case of a linear-diffusion, nonlinear convection-reaction equation, and (b) the nonlinear Navier-Stokes equations. Numerical experiments are provided which illustrate the utility of the resulting adaptive defect correction method for high Reynolds number, incompressible, viscous flow problems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=15109352 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1165 Subjects: – SubjectFull: Defect correction methods (Numerical analysis) Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Reynolds number Type: general – SubjectFull: Viscous flow Type: general – SubjectFull: Error analysis in mathematics Type: general Titles: – TitleFull: ADAPTIVE DEFECT-CORRECTION METHODS FOR VISCOUS INCOMPRESSIBLE FLOW PROBLEMS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ervint, V. J. – PersonEntity: Name: NameFull: Laytont, W. J. – PersonEntity: Name: NameFull: Maubacht, J. M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: 2000 Type: published Y: 2000 Identifiers: – Type: issn-print Value: 00361429 Numbering: – Type: volume Value: 37 – Type: issue Value: 4 Titles: – TitleFull: SIAM Journal on Numerical Analysis Type: main |
| ResultId | 1 |
