Abstract
An asymptotic analysis is developed, which guarantees that the equation εa(x)∂uε/∂t = ε divx(a(x)▽xuε) - ψ(uε)/2εa(x) in Rn × (0, T), approximates a flow by mean curvature with an error of order O(ε2). The dependence on space of the relaxation parameter εa(x) is crucial for the stability and accuracy of the finite element approximations based on a local mesh refinement strategy. Several numerical experiments simulate the mean curvature motion of various surfaces and confirm the reliability of the asymptotic analysis.
Lingua originale | English |
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pagine (da-a) | 553-574 |
Numero di pagine | 22 |
Rivista | Asymptotic Analysis |
Volume | 5 |
Stato di pubblicazione | Pubblicato - 1992 |
Keywords
- reaction-diffusion equations
- front propagation