Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary
Tran, Van Bon
Applications of Mathematics, Tome 33 (1988), p. 1-21 / Harvested from Czech Digital Mathematics Library
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The Poisson equation with non-homogeneous unilateral condition on the boundary is solved by means of finite elements. The primal variational problem is approximated on the basis of linear triangular elements, and $O(h)$-convergence is proved provided the exact solution is regular enough. For the dual problem piecewise linear divergence-free approximations are employed and $O(h^{3/2})$-convergence proved for a regular solution. Some a posteriori error estimates are also presented.

Publié le : 1988-01-01
Classification:  35J05,  65N15,  65N30 
@article{104282,
     author = {Van Bon Tran},
     title = {Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {1-21},
     zbl = {0638.65077},
     mrnumber = {0934370},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104282}
}

Tran, Van Bon. Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary. Applications of Mathematics, Tome 33 (1988) pp. 1-21. http://gdmltest.u-ga.fr/item/104282/

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