A variational problem for the biharmonic equation

Authors

  • V.A. Morozov Lomonosov Moscow State University
  • N.M. Tokarev Kuban State University
  • V.G. Lezhnev Kuban State University

Keywords:

biharmonic equations, boundary value problems, projection algorithm, systems of potential, regularization method

Abstract

The problem of choosing the boundary condition on a part of the boundary is considered for a boundary value problem formulated for the biharmonic equation.

Author Biographies

V.A. Morozov

Lomonosov Moscow State University,
Research Computing Center
• Chief Researcher

N.M. Tokarev

Kuban State University,
Faculty of Mathematics and Computer Sciences
• Lecturer

V.G. Lezhnev

Kuban State University,
Faculty of Mathematics and Computer Sciences
• Professor

References

  1. Михайлов В.П. Дифференциальные уравнения в частных производных. М.: Наука, 1983.
  2. Лежнев А.В., Лежнев В.Г. Метод базисных потенциалов в задачах математической физики и гидродинамики. Краснодар: Кубанский гос. ун-т, 2009.
  3. Морозов В.А. Регулярные методы решения некорректно поставленных задач. М.: МГУ, 1987.
  4. Лежнев В.Г., Марковский А.Н. Метод базисных потенциалов для неоднородного бигармонического уравнения // Вестник Самарского гос. ун-та. Самара: СамГУ. 2008. 127-139.
New computational technologies

Downloads

Published

13-09-2012

How to Cite

Морозов В., Токарев Н., Лежнев В. A Variational Problem for the Biharmonic Equation // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2012. 13. 409-412

Issue

Vol. 13 (2012): Issue 3.

Section

Section 1. Numerical methods and applications

Most read articles by the same author(s)