Title :
A numerical finding of a 2D surface by its mean curvature
Author :
Ilia Mogilevskiy;Alia Kunik
Author_Institution :
Department of Mathematics, Tver State University, Russia
fDate :
5/1/2015 12:00:00 AM
Abstract :
We consider the problem of finding of 2D surface Γ with a given mean curvature H in a small neighborhood of the given smooth surface Γ0 with mean curvature H0. The successive approximation method of finding Γ is based on the Lp-theory for the elliptic equations. It is assumed that p > 2 and Lp-norm of H-H0 is sufficiently small. This method is realized numerically for H0 = 0.
Keywords :
"Diffraction","Approximation methods","Mathematical model","Boundary conditions","Oscillators","Physics"
Conference_Titel :
Days on Diffraction (DD), 2015
Print_ISBN :
978-1-4673-8635-7
DOI :
10.1109/DD.2015.7354863
