Dual finite element analysis of axisymmetric elliptic problems with an absolute term
Applications of Mathematics (1991)
- Volume: 36, Issue: 5, page 392-406
- ISSN: 0862-7940
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topHlaváček, Ivan. "Dual finite element analysis of axisymmetric elliptic problems with an absolute term." Applications of Mathematics 36.5 (1991): 392-406. <http://eudml.org/doc/15687>.
@article{Hlaváček1991,
abstract = {A model second order elliptic equation in cylindrical coordinates with mixed boundary conditions is considered. A dual variational formulation is employed to calculate the cogradient of the solution directly. Approximations are defined on the basis of standard finite elements spaces. Convergence analysis and some a posteriori error estimates are presented.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {finite elements; elliptic problems; dual analysis; axisymmetric problem; dual variational formulation; second order elliptic problem; error analysis; weighted Sobolev spaces; unilateral and obstacle problems; axisymmetric problem; dual variational formulation; second order elliptic problem; finite element; error analysis; weighted Sobolev spaces; unilateral and obstacle problems},
language = {eng},
number = {5},
pages = {392-406},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dual finite element analysis of axisymmetric elliptic problems with an absolute term},
url = {http://eudml.org/doc/15687},
volume = {36},
year = {1991},
}
TY - JOUR
AU - Hlaváček, Ivan
TI - Dual finite element analysis of axisymmetric elliptic problems with an absolute term
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 5
SP - 392
EP - 406
AB - A model second order elliptic equation in cylindrical coordinates with mixed boundary conditions is considered. A dual variational formulation is employed to calculate the cogradient of the solution directly. Approximations are defined on the basis of standard finite elements spaces. Convergence analysis and some a posteriori error estimates are presented.
LA - eng
KW - finite elements; elliptic problems; dual analysis; axisymmetric problem; dual variational formulation; second order elliptic problem; error analysis; weighted Sobolev spaces; unilateral and obstacle problems; axisymmetric problem; dual variational formulation; second order elliptic problem; finite element; error analysis; weighted Sobolev spaces; unilateral and obstacle problems
UR - http://eudml.org/doc/15687
ER -
References
top- I. Hlaváček, 10.1007/BF00046832, Acta Appl. Math. 1 (1983), 121-150. (1983) MR0713475DOI10.1007/BF00046832
- I. Hlaváček, 10.4064/-3-1-147-165, Banach Center Publications, 3 (1977), 147-165. (1977) MR0514379DOI10.4064/-3-1-147-165
- J.-P. Aubin H. Burchard, Some aspects of the method of hypercircle applied to elliptic variational problems, Proceed. of SYNSPADE, 1971, Academic Press, 1 - 67. (1971) MR0285136
- B. Mercier G. Raugel, Resolution d'un problème aux limites dans un ouvert axisymétrique par éléments finis, R.A.I.R.O. Anal, numer. 16, (1982), 405-461. (1982) MR0684832
- I. Hlaváček, Domain optimization in axisymmetric elliptic boundary value problems by finite elements, Apl. Mat. 33 (1988), 213 - 244. (1988) MR0944785
- I. Doležel, Numerical calculation of the leakage field in the window of a transformer with magnetic shielding, Acta Technica ČSAV, (1981), 563-588. (1981)
- V. Girault P. A. Raviart, Finite element methods for Navier-Stokes equations, Springer- Verlag, Berlin 1986. (1986) MR0851383
- I. Hlaváček M. Křížek, Dual finite element analysis of 3D-axisymmetric elliptic problems, Numer. Meth. in Part. Dif. Eqs. (To appear.)
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