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RESEARCH PRODUCT
Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D
Michal KřížekSergey Korotovsubject
Computational MathematicsElliptic curvePolyhedronApplied MathematicsNumerical analysisNorm (mathematics)Bounded functionMathematical analysisBoundary value problemFinite element methodNumerical integrationMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-02-01 | Numerische Mathematik |