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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 01630563 |
| DOI: | 10.1080/01630560902841120 |
