Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find

 Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 2, Pages 239–246 (Mi zvmmf1944)

High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems

R. Z. Dautov

Kazan State University

Abstract: A suitable post-processing technique in combined with a finite element approximations to the obstacle problems. If the coincidence set is an interior star-like domain with analytical boundary $F$, we define discrete free boundary thus that it is easily computable and converges in distance to $F$ with a rate $\varepsilon(h)\ln^3(1/h)$, $\varepsilon(h)=h|u-u_k|_{H^1}+\|u-u_h\|_{L_2}$. Our present analysis does not rest on the discrete maximum principle.

Full text: PDF file (1080 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 1998, 38:2, 230–237

Bibliographic databases:
UDC: 519.63
MSC: Primary 65K10; Secondary 49J40, 49M15
Language:

Citation: R. Z. Dautov, “High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998), 239–246; Comput. Math. Math. Phys., 38:2 (1998), 230–237

Citation in format AMSBIB
\Bibitem{Dau98} \by R.~Z.~Dautov \paper High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 1998 \vol 38 \issue 2 \pages 239--246 \mathnet{http://mi.mathnet.ru/zvmmf1944} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1609060} \zmath{https://zbmath.org/?q=an:0951.65062} \transl \jour Comput. Math. Math. Phys. \yr 1998 \vol 38 \issue 2 \pages 230--237