Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions
Hlaváček, Ivan
Applications of Mathematics, Tome 35 (1990), p. 405-417 / Harvested from Czech Digital Mathematics Library
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A second order elliptic problem with axisymmetric data is solved in a finite element space, constructed on a triangulation with curved triangles, in such a way, that the (nonhomogeneous) boundary condition is fulfilled in the sense of a penalty. On the basis of two approximate solutions, extrapolates for both the solution and the boundary flux are defined. Some a priori error estimates are derived, provided the exact solution is regular enough. The paper extends some of the results of J.T. King [6], [7].

Publié le : 1990-01-01
Classification:  35J25,  65N15,  65N30,  73K25 
@article{104420,
     author = {Ivan Hlav\'a\v cek},
     title = {Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions},
     journal = {Applications of Mathematics},
     volume = {35},
     year = {1990},
     pages = {405-417},
     zbl = {0725.65098},
     mrnumber = {1072609},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104420}
}

Hlaváček, Ivan. Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions. Applications of Mathematics, Tome 35 (1990) pp. 405-417. http://gdmltest.u-ga.fr/item/104420/

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