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Development of the transmural allied healthcare pathway (TULIP) – an intervention mapping approach
Grootel JWv +7 more
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Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law
In this paper we show that the solutions of the phase change problem with the Cattaneo-Fourier heat flux law and phase relaxation, converge to the solution of the Stefan problem as the two relaxation parameters go independently to ...
Pierluigi Colli
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Inverse 2D phase change problem
1994Numerical resolution of a 2D inverse phase change problem has been proposed. Two different methods have been tested. The first one use a sequential minimisation procedure, on a sliding time horizon. The second one is based on the transformation of the initial non linear phase change problem in a linear one, which is solved by linear quadratic optimal ...
C. Bénard +3 more
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Error Control for Phase Change Problems
1999The presence of interfaces, and associated lack of regularity, is responsible for global numerical pollution effects for phase change problems. A cure consists of equidistributing discretization errors in adequate norms by means of highly graded meshes and varying time steps.
R. H. Nochetto, A. Schmidt, C. Verdi
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On the Spherically Symmetric Phase Change Problem
International Journal of Fluid Mechanics Research, 1999Abstract : The objectives of this paper are: To show that the application of the 'thin thermal boundary layer' approximation to collapsing bubbles is incorrect although this approximation has been used by all investigators interested in cavitation. To show that the available analyses based on the heat balance integral method contain a significant error
J. Riznic, Gunol Kojasoy, Novak Zuber
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The Problem of Controllability with Phase Space Change
2023In this paper, we consider differential systems of the following structure: at two consecutive time intervals the motion of the object is described by two different systems of differential equations. We study the controllability of the object described by such system from the initial set in one space to the given set in another space through so-called '
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A Hyperbolic Heat Transfer Problem with Phase Changes
IMA Journal of Applied Mathematics, 1987There is a large literature on hyperbolic heat-transfer problems, and a few investigators have studied phase-change or melt problems for materials governed by such systems. Most formulations of melt problems for hyperbolic models insist on continuity of the temperature across the melt interface, and a number of investigators have observed that this ...
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Stefan Problem with Change Density Upon Change of Phase (I)
Journal of Partial Differential Equations, 1994Summary: We establish the existence of one-dimensional classical solution of one- phase problem and its continuous dependence. In addition, we prove that if \(\varepsilon\to 0\), the free boundary \(X(t)\) with-draws and the solution converges to the solution of the classical Stefan problem.
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Numerical solution of phase-change problems
International Journal of Heat and Mass Transfer, 1973Abstract A three-time level implicit scheme, which is unconditionally stable and convergent, is employed for the numerical solution of phase-change problems, on the basis of an analytical approach consisting in the approximation of the latent heat effect by a large heat capacity over a small temperature range.
BONACINA C. +3 more
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