Anisotropic error estimates for an interpolant defined via moments

Authors: Acosta, G.¹; Apel, Thomas²; Durán, R.³; Lombardi, A.³

Source: Computing, Volume 82, Number 1, April 2008 , pp. 1-9(9)

Publisher: Springer

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Abstract:

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.

Keywords: 65D05; 65N30; anisotropic finite elements; interpolation error estimate

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s00607-008-0259-1

Affiliations: 1: Instituto de Ciencias, Universidad Nacional de General Sarmiento, Los Polvorines, Provincia de Buenos Aires, Argentina 2: Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany, Email: thomas.apel@unibw.de 3: Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina

Publication date: 2008-04-01