111
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Finite Element Methods for Parabolic Variational Inequalities with a Volterra Term

&
Pages 107-127 | Published online: 31 Aug 2006

References

  • Bensoussan , A. and Lions , J. L. 1982 . Applications of Variational Inequalities in Stochastic Control Amsterdam : North Holland Publishing Company .
  • Kesavan , S. 1989 . Some Topics in Functional Analysis and its Applications New Delhi : Wiley Eastern Limited .
  • Lions , J. L. 1969 . Some remarks on variational inequalities . Reprinted from the Proceedings of the International Conference on Functional Analysis and Related Topics . Apr 1969 , Tokyo. pp. 269 – 282 .
  • Nair , P. and Pani , A. K. 2001 . Finite element approximations to an evolutionary variational inequality with a Volterra term . IMG-RR-1-2000, Research Report. Industrial Mathematics Group, Indian Institute of Technology . 2001 , Bombay. (To appear in the Proceedings of the First International Conference on Industrial Mathematics and Applications in the Indian Subcontinent January 22–25)
  • Nair , P. and Pani , A. K. Finite element approximations to an injection moulding process . IMG-RR-2-2001, Research Report. Industrial Mathematics Group, Indian Institute of Technology .
  • Pani , A. K. , Pani Thomèe , V. and Pani Wahlbin , L. B. 1992 . Numerical methods for hyperbolic and parabolic integro–differential equations. . J. Integral Equations and Applications , 4 : 533 – 584 .
  • Scholz , R. 1986 . Numerical solution of the obstacle problem by the penalty method. Part II. . Numer. Math. , 49 : 255 – 268 .
  • Steinbach , J. 1991a . Evolutionary variational inequalities with a Volterra term . Numer. Funct. Anal. and Optimiz. , 12 ( 3&4 ) : 395 – 411 .
  • Steinbach , J. 1991b . “ FDM approximation of variational inequalities with an application to injection moulding ” . In Numerical Methods for Free Boundary Problem Edited by: Neittaanmaki , P. Vol. 99 , 391 – 399 . Basel, Boston, Berlin : Birkhauser–Verlag . ISNM
  • Steinbach , J. 1992 . Mathematical modeling of the injection moulding process . Advances in Math. Sciences and Appl. , 1 : 137 – 156 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.