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Direct approach to mean-curvature flow with topological changes

Petr Pauš; Michal Beneš — 2009

Kybernetika

This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves $Γ (t) : S \to ℝ^{2}$ , $t ≧ 0$ . The curves are driven by the normal velocity $v$ which is the function of curvature $κ$ and the position. The evolution law reads as: $v = - κ + F$ . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...

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