Advertisement

Siberian Mathematical Journal

, Volume 39, Issue 5, pp 913–926 | Cite as

Variational and boundary value problems in the presence of friction on the inner boundary

  • V. A. Kovtunenko
Article

Keywords

Variational Inequality Saddle Point Bilinear Form Russian Translation Saddle Point Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. A. Nazarov and B. A. Plamenevskiî, Elliptic Problems in Domains with Piecewise Smooth Boundary [in Russian], Nauka, Moscow (1991).Google Scholar
  2. 2.
    V. A. Kondrat'ev and O. A. Oleînik, “Boundary value problems for partial differential equations in nonsmooth domains,” Uspekhi Mat. Nauk,38, No. 2, 3–76 (1983).zbMATHGoogle Scholar
  3. 3.
    V. G. Maz'ya, N. F. Morozov, and B. A. Plamenevskii, “Nonlinear bending of a plate with a crack,” in: Differential and Integral Equations. Boundary Value Problems [in Russian], Tbilis. Univ., Tbilisi, 1979, pp. 145–163.Google Scholar
  4. 4.
    R. Duduchava and W. Wendland, “The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems,” Integral Equations Operator Theory,23, No. 1, 294–335 (1995).zbMATHCrossRefGoogle Scholar
  5. 5.
    A. M. Khludnev, “A contact problem for a shallow shell with a crack,” Prikl. Mat. Mekh.,59, No. 2, 318–326 (1995).Google Scholar
  6. 6.
    G. Devaut and J.-L. Lions, Inequalities in Mechanics and Physics [Russian translation], Nauka, Moscow (1980).Google Scholar
  7. 7.
    R. Glowinski, J.-L. Lions, and R. Tremolieres, Numerical Analysis of Variational Inequalities [Russian translation], Mir, Moscow (1979).zbMATHGoogle Scholar
  8. 8.
    I. Hlavaček, J. Haslinger, J. Nečas, and J. Lovišek, Solution of Variational Inequalities in Mechanics [Russian translation], Mir, Moscow (1986).Google Scholar
  9. 9.
    V. A. Kovtunenko, “An iterative penalty method for a problem with constraints on the inner boundary,” Sibirsk. Mat. Zh.,37, No. 3, 585–591 (1996).Google Scholar
  10. 10.
    V. Kovtunenko, “Iterative approximations of penalty operators,” Numer. Funct. Anal. Optim.,18, No. 3–4, 383–387 (1997).zbMATHCrossRefGoogle Scholar
  11. 11.
    V. Kovtunenko, “Analytical solution of a variational inequality for a cutted bar,” Control Cybernet.,25, No. 4, 801–808 (1996).zbMATHGoogle Scholar
  12. 12.
    I. Ekeland and R. Temam, Convex Analysis and Variational Problems [Russian translation], Mir, Moscow (1979).zbMATHGoogle Scholar
  13. 13.
    J.-L. Lions and E. Magenes, Inhomogeneous Boundary Value Problems and Their Applications [Russian translation], Mir, Moscow (1971).Google Scholar
  14. 14.
    D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications [Russian translation], Mir, Moscow (1983).zbMATHGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • V. A. Kovtunenko

There are no affiliations available

Personalised recommendations