, Volume 82, Issue 1, pp 1–9 | Cite as

Anisotropic error estimates for an interpolant defined via moments

  • G. Acosta
  • Thomas Apel
  • R. G. Durán
  • A. L. Lombardi


An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and hexahedra and arbitrarily high polynomial degree. The elements are allowed to have diameters with different asymptotic behavior in different space directions. Anisotropic interpolation error estimates are proved.

AMS Subject Classifications

65D05 65N30 


anisotropic finite elements interpolation error estimate 


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Copyright information

© Springer-Verlag Wien 2008

Authors and Affiliations

  • G. Acosta
    • 1
  • Thomas Apel
    • 2
  • R. G. Durán
    • 3
  • A. L. Lombardi
    • 3
  1. 1.Instituto de CienciasUniversidad Nacional de General SarmientoLos PolvorinesArgentina
  2. 2.Institut für Mathematik und BauinformatikUniversität der Bundeswehr MünchenNeubibergGermany
  3. 3.Departamento de Matemática, Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos AiresBuenos AiresArgentina

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