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arXiv · 0807.1700

Optimal approximation of harmonic growth clusters by orthogonal polynomials

Ferenc Balogh·Razvan Teodorescu
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Abstract

Interface dynamics in two-dimensional systems with a maximal number of conservation laws gives an accurate theoretical model for many physical processes, from the hydrodynamics of immiscible, viscous flows (zero surface-tension limit of Hele-Shaw flows, [1]), to the granular dynamics of hard spheres [2], and even diffusion-limited aggregation [3]. Although a complete solution for the continuum case exists [4, 5], efficient approximations of the boundary evolution are very useful due to their practical applications [6]. In this article, the approximation scheme based on orthogonal polynomials with a deformed Gaussian kernel [7] is discussed, as well as relations to potential theory.

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Ferenc Balogh, Razvan Teodorescu. 2008-07-17. Optimal approximation of harmonic growth clusters by orthogonal polynomials. https://arxiv.org/abs/0807.1700

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