Application of relaxation scheme to degenerate variational inequalities

Jela Babušíková

Applications of Mathematics (2001)

  • Volume: 46, Issue: 6, page 419-437
  • ISSN: 0862-7940

Abstract

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In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.

How to cite

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Babušíková, Jela. "Application of relaxation scheme to degenerate variational inequalities." Applications of Mathematics 46.6 (2001): 419-437. <http://eudml.org/doc/33095>.

@article{Babušíková2001,
abstract = {In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.},
author = {Babušíková, Jela},
journal = {Applications of Mathematics},
keywords = {degenerate variational inequalities; numerical solution of variational inequalities; free boundary problem; oxygen diffusion problem; degenerate variational inequalities; numerical solution of variational inequalities; free boundary problem; oxygen diffusion problem},
language = {eng},
number = {6},
pages = {419-437},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Application of relaxation scheme to degenerate variational inequalities},
url = {http://eudml.org/doc/33095},
volume = {46},
year = {2001},
}

TY - JOUR
AU - Babušíková, Jela
TI - Application of relaxation scheme to degenerate variational inequalities
JO - Applications of Mathematics
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 6
SP - 419
EP - 437
AB - In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
LA - eng
KW - degenerate variational inequalities; numerical solution of variational inequalities; free boundary problem; oxygen diffusion problem; degenerate variational inequalities; numerical solution of variational inequalities; free boundary problem; oxygen diffusion problem
UR - http://eudml.org/doc/33095
ER -

References

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  9. 10.1137/0730087, SIAM J. Numer. Anal. 30 (1993), 1703–1722. (1993) MR1249039DOI10.1137/0730087
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  11. 10.1051/m2an/1995290506051, RAIRO Modél. Math. Anal. Numér. 29 (1995), 605–627. (1995) MR1352864DOI10.1051/m2an/1995290506051
  12. 10.1093/imanum/19.1.119, IMA J. Numer. Anal. 19 (1999), 119–145. (1999) MR1670689DOI10.1093/imanum/19.1.119

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