Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D |
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| Authors: | Sergey Korotov Michal Křížek |
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| Institution: | Department of Mathematics, University of Jyv?skyl?, P.O. Box 35, FIN-40351 Jyv?skyl?, Finland; e-mail: korotov@math.jyu.fi, FI
Mathematical Institute, Academy of Sciences, ?itná 25, CZ-11567 Prague 1, Czech Republic; e-mail: krizek@math.cas.cz, CZ
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| Abstract: | Summary. We examine a finite element approximation of a quasilinear boundary value elliptic problem in a three-dimensional bounded
convex domain with a smooth boundary. The domain is approximated by a polyhedron and a numerical integration is taken into
account. We apply linear tetrahedral finite elements and prove the convergence of approximate solutions on polyhedral domains
in the -norm to the true solution without any additional regularity assumptions.
Received May 23, 1997 / Published online December 6, 1999 |
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| Keywords: | Mathematics Subject Classification (1991): 65N30 |
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