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 \(W^1_2\)-norm to the true solution without any additional regularity assumptions.
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Received May 23, 1997 / Published online December 6, 1999
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Korotov, S., Křížek, M. Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D. Numer. Math. 84, 549–576 (2000). https://doi.org/10.1007/s002110050010
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DOI: https://doi.org/10.1007/s002110050010