id: 01420428
dt: j
an: 01420428
au: Apel, Thomas
ti: Interpolation of non-smooth functions on anisotropic finite element meshes.
so: M2AN, Math. Model. Numer. Anal. 33, No.6, 1149-1185 (1999).
py: 1999
pu: EDP Sciences, Les Ulis; SMAI (Société de Mathématiques Appliquées et
    Industrielles), Paris
la: EN
cc: 
ut: quasi-interpolation operator; anisotropic meshes; finite element; local
    stability; error estimates; Poisson problem
ci: Zbl 0696.65007
li: doi:10.1051/m2an:1999139
    http://publish.edpsciences.org/abstract/m2an/v33/p1149
ab: The aim of this paper is to define and to investigate quasi-interpolation
    operator which do not have the disadvantages of the Lagrange operator.
    Several modifications of the quasi-interpolation operator of {\it L. R.
    Scott} and {\it S. Zhang} [Math. Comput. 54, No. 190, 483-493 (1990;
    Zbl 0696.65007)] are discussed. They are used for application on
    anisotropic meshes. As an application is considered the Poisson problem
    in domains with edges.
rv: A.L.Pletea (Iaşi)