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BOUNDARY INTEGRAL METHOD [1 record]

Record 1 2002-11-05

English

Subject field(s)
  • Computer Graphics
  • Mathematics
DEF

A method for solving the Laplace equation without using an underlying lattice. Applied in simulation techniques involving aggregation of particles and fractal pattern formation. The interfacial pattern is approximated as a piecewise linear with uniform monopole sources. A given interface uniquely determines the source distribution which, in turn, uniquely determines the velocity distribution along the interface. Based on Green's function, an integro-differential equation, and on the Dirac delta function.

CONT

Investigations based on the boundary integral method demonstrate that noise is not a necessary ingredient of an algorithm producing DLA-type patterns since they can be grown using deterministic equations. This result is supported by multifractal analysis. The fractal dimension of off-lattice DLA clusters in the asymptotic limit may be approximately equal to 1.65.

French

Domaine(s)
  • Infographie
  • Mathématiques

Spanish

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