ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXI, 1(2002)
p. 93
ANALYSIS OF A SEMIDISCRETE SCHEME
FOR SOLVING IMAGE SMOOTHING EQUATION OF MEAN CURVATURE FLOW TYPE
A. Handlovicova and K. Mikula
Abstract. 
Numerical approximation of a nonlinear diffusion equation of mean curvature flow type is discussed. Convergence and error analysis of a regularized problem is presented.
AMS subject classification: 
35K55 65P05, 65N30
Keywords: 
Nonlinear parabolic equations, mean curvature flow, level set
equation, image and shape multiscale analysis, numerical solution, finite
element method
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Acta Mathematica Universitatis Comenianae
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