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Using some recent results of the Riesz decomposition method for sharp estimates of certain boundary value problems of harmonic functions in (St. Cer. Mat. 27 323-328, 1975), the boundary behaviors of upper and lower superharmonic multifunctions are studied.
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As we are also interested in arbitrary gel shapes and their interaction with local media (i.e. fluid), traditional methods for sharp interface simulation are not readily applicable.
In this paper, we present a method for obtaining sharp interfaces in two-phase incompressible flows by an anti-diffusion correction, that is applicable in a straight-forward fashion for the improvement of two-phase flow solution schemes typically employed in practical applications.
(a, b) Selective coating method and (c, d) selective etching method for a sharp needle electrode.
A general method for finding sharp constants in interpolation inequalities of L ∞ - L 2 - L 2 -type was developed in [1, 11, 18], which was also used in the discrete case in the present paper.
Numerical methods for tracking sharp fluid interfaces.
Theoretical estimates show good parallel scalability of the algorithm, and numerical results show the accuracy of the method for problems with sharp variations on inhomogeneous term.
The problem given in (22 - 25 22 - 25id not to be typical of a hydrocarbon system simulation, but it can be designed to test the resolution capabilities of the numerical method for problems involving sharp fronts.
The maximum-likelihood method for distributions with sharp cutoffs was described in [ 30].
A simple, high yield, method for the fabrication of sharp silicon tips is described.
We present a sharp interface method for modeling such process.
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