• DocumentCode
    3710510
  • 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
  • fYear
    2015
  • fDate
    5/1/2015 12:00:00 AM
  • Firstpage
    1
  • Lastpage
    5
  • 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"
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2015
  • Print_ISBN
    978-1-4673-8635-7
  • Type

    conf

  • DOI
    10.1109/DD.2015.7354863
  • Filename
    7354863
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3710510