Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements
Dalík, Josef
Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), p. 57-62 / Harvested from
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A method for the second-order approximation of the values of partial derivatives of an arbitrary smooth function u=u(x1,x2) in the vertices of a conformal and nonobtuse regular triangulation 𝒯h consisting of triangles and convex quadrilaterals is described and its accuracy is illustrated numerically. The method assumes that the interpolant Πh(u) in the finite element space of the linear triangular and bilinear quadrilateral finite elements from 𝒯h is known only.

EUDML-ID : urn:eudml:doc:271375
Mots clés:
Mots clés: 
@article{702707,
     title = {Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {57-62},
     url = {http://dml.mathdoc.fr/item/702707}
}

Dalík, Josef. Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2013), pp. 57-62. http://gdmltest.u-ga.fr/item/702707/