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A convolution-thresholding approximation of generalized curvature flows
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- Grzhibovskis, Richards, 1978 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Heintz, Alexey, 1955 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Geynts, Alexey, 1955 (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Göteborgs universitet,University of Gothenburg
- (creator_code:org_t)
- 2005
- 2005
- English.
- In: SIAM Journal on Numerical Analysis. - 0036-1429 .- 1095-7170. ; 42:6, s. 2652-2670
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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- art (subject category)
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