Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy-Neumann Boundary Conditions.
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| Title: | Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy-Neumann Boundary Conditions. |
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| Authors: | Benincasa, T.1 (AUTHOR), Moroşanu, C.2 (AUTHOR) cmoro@uaic.ro |
| Source: | Numerical Functional Analysis & Optimization. Mar2009, Vol. 30 Issue 3/4, p199-213. 15p. 4 Graphs. |
| Subjects: | Cauchy transform, Mathematical transformations, Cauchy integrals, Complex variables, Von Neumann algebras |
| Abstract: | The paper presents a proof of the convergence for an iterative scheme of fractional steps type associated to the phase-field transition system (a nonlinear parabolic system) with non-homogeneous Cauchy-Neumann boundary conditions. The advantage of such method consists in simplifying the numerical computation necessary to be done in order to approximate the solution of a nonlinear parabolic system. On the basis of this approach, a numerical algorithm in the two dimensional case is introduced and an industrial implementation is made. [ABSTRACT FROM AUTHOR] |
| Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd 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: 37379556 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy-Neumann Boundary Conditions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Benincasa%2C+T%2E%22">Benincasa, T.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Moroşanu%2C+C%2E%22">Moroşanu, C.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> cmoro@uaic.ro</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Numerical+Functional+Analysis+%26+Optimization%22">Numerical Functional Analysis & Optimization</searchLink>. Mar2009, Vol. 30 Issue 3/4, p199-213. 15p. 4 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Cauchy+transform%22">Cauchy transform</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Cauchy+integrals%22">Cauchy integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+variables%22">Complex variables</searchLink><br /><searchLink fieldCode="DE" term="%22Von+Neumann+algebras%22">Von Neumann algebras</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The paper presents a proof of the convergence for an iterative scheme of fractional steps type associated to the phase-field transition system (a nonlinear parabolic system) with non-homogeneous Cauchy-Neumann boundary conditions. The advantage of such method consists in simplifying the numerical computation necessary to be done in order to approximate the solution of a nonlinear parabolic system. On the basis of this approach, a numerical algorithm in the two dimensional case is introduced and an industrial implementation is made. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd 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=37379556 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/01630560902841120 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 199 Subjects: – SubjectFull: Cauchy transform Type: general – SubjectFull: Mathematical transformations Type: general – SubjectFull: Cauchy integrals Type: general – SubjectFull: Complex variables Type: general – SubjectFull: Von Neumann algebras Type: general Titles: – TitleFull: Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy-Neumann Boundary Conditions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Benincasa, T. – PersonEntity: Name: NameFull: Moroşanu, C. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 01630563 Numbering: – Type: volume Value: 30 – Type: issue Value: 3/4 Titles: – TitleFull: Numerical Functional Analysis & Optimization Type: main |
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