Geodesic
Dual finite element analysis of axisymmetric elliptic problems with an absolute term
Applications of Mathematics, Tome 36 (1991) no. 5, pp. 392-406.

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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.
DOI : 10.21136/AM.1991.104475
Classification : 35J25, 65N15, 65N30
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 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Dual finite element analysis of axisymmetric elliptic problems with an absolute term},
     journal = {Applications of Mathematics},
     pages = {392--406},
     publisher = {mathdoc},
     volume = {36},
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     zbl = {0753.65086},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104475/}
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Hlaváček, Ivan. Dual finite element analysis of axisymmetric elliptic problems with an absolute term. Applications of Mathematics, Tome 36 (1991) no. 5, pp. 392-406. doi : 10.21136/AM.1991.104475. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104475/

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