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A convolution-thresholding approximation of generalized curvature flows

Richards Grzhibovskis (Institutionen för matematiska vetenskaper) ; Alexey Heintz (Institutionen för matematiska vetenskaper)
SIAM Journal on Numerical Analysis (00361429 ). Vol. 42 (2005), 6, p. 2652-2670.
[Artikel, refereegranskad vetenskaplig]

We construct a convolution-thresholding approximation scheme for the geometric surface evolution in the case when the velocity of the surface at each point is a given function of the mean curvature. Conditions for the monotonicity of the scheme are found and the convergence of the approximations to the corresponding viscosity solution is proved. We also discuss some aspects of the numerical implementation of such schemes and present several numerical results.



Denna post skapades 2010-01-27.
CPL Pubid: 111031

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Numerisk analys

Chalmers infrastruktur