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pro vyhledávání: '"Green, Christopher C."'
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Stein integral equation to compute the Szeg\"o kernel and then the value
Externí odkaz:
http://arxiv.org/abs/2307.01808
This paper is concerned with the numerical computation of the harmonic-measure distribution function, or $h$-function for short, associated with a particular planar domain. This function describes the hitting probability of a Brownian walker released
Externí odkaz:
http://arxiv.org/abs/2306.00235
Publikováno v:
In Journal of Computational and Applied Mathematics 1 October 2024 448
Publikováno v:
In Physica D: Nonlinear Phenomena August 2023 450
The well-studied selection problems involving Saffman-Taylor fingers or Taylor-Saffman bubbles in a Hele-Shaw channel are prototype examples of pattern selection. Exact solutions to the corresponding zero-surface-tension problems exist for an arbitra
Externí odkaz:
http://arxiv.org/abs/1810.11639
Akademický článek
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New numerical solutions to the so-called selection problem for one and two steadily translating bubbles in an unbounded Hele-Shaw cell are presented. Our approach relies on conformal mapping which, for the two-bubble problem, involves the Schottky-Kl
Externí odkaz:
http://arxiv.org/abs/1702.06400
A collection of arbitrarily-shaped solid objects, each moving at a constant speed, can be used to mix or stir ideal fluid, and can give rise to interesting flow patterns. Assuming these systems of fluid stirrers are two-dimensional, the mathematical
Externí odkaz:
http://arxiv.org/abs/1701.00115