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Zbl 0753.65086
Hlaváček, Ivan
Dual finite element analysis of axisymmetric elliptic problems with an absolute term. (English)
[J] Appl. Math., Praha 36, No.5, 392-406 (1991). ISSN 0862-7940; ISSN 1572-9109/e

The author introduces a dual variational formulation of a second order elliptic problem in an axisymmetric bounded domain with mixed type boundary conditions. The finite element technique is used to discuss the error analysis for the approximate solution of this problem within the framework of weighted Sobolev spaces. The technique discussed in this paper can be modified and extended to obtain error estimates for the finite element approximation of unilateral and obstacle problems.
[M.A.Noor (Riyadh)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: axisymmetric problem; dual variational formulation; second order elliptic problem; finite element; error analysis; weighted Sobolev spaces; unilateral and obstacle problems

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