scholarly journals Numerical analysis of oscillations in a nonconvex problem related to image selective smoothing

2001 ◽  
Vol 136 (1-2) ◽  
pp. 123-133 ◽  
Author(s):  
Michel Chipot ◽  
Riccardo March ◽  
Domenico Vitulano
Keyword(s):  
Numerical Analysis ◽  
Nonconvex Problem ◽  
Selective Smoothing

Analysis of a Nonconvex Problem Related to Signal Selective Smoothing

1997 ◽  
Vol 07 (03) ◽  
pp. 313-328 ◽  
Author(s):  
M. Chipot ◽  
R. March ◽  
M. Rosati ◽  
G. Vergara Caffarelli
Keyword(s):  
Variational Problem ◽  
Existence Result ◽  
Minimizing Sequences ◽  
Qualitative Properties ◽  
Nonconvex Problem ◽  
Nonconvex Variational Problem ◽  
Selective Smoothing

We study some properties of a nonconvex variational problem. We fail to attain the infimum of the functional that has to be minimized. Instead, minimizing sequences develop gradient oscillations which allow them to reduce the value of the functional. We show an existence result for a perturbed nonconvex version of the problem, and we study the qualitative properties of the corresponding minimizer. The pattern of the gradient oscillations for the original nonperturbed problem is analyzed numerically.

Numerical analysis of electro-osmotic flows through elliptic microchannels

2013 ◽  
pp. 42-49 ◽  
Author(s):  
Pamela Vocale ◽  
Michela Geri ◽  
Luca Cattani ◽  
Gian Luca Morini ◽  
Marco Spiga
Keyword(s):  
Numerical Analysis
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