Bidimensional interpolation operators of finite element type and degree of exactness two

Authors

  • Daniela Roşca Technical University of Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat342-806

Keywords:

two-dimensional interpolation operator, degree of exactness
Abstract views: 198

Abstract

For a given arbitrary triangulation of \(\mathbb R^2\), we construct an interpolating operator which is exact for the polynomials in two variables of total degree \(\leq 2\). This operator is local, in the sense that the information around an interpolation node is taken from a small region around this point. We study the remainder of the interpolation formula.

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References

Petrila, T. and Gheorghiu, C.I., Metode element finit şi aplicaţii, Ed. Academiei, 1987.

Roşca, D., Bounds of some shape functions, Aut. Comput. Appl. Math., 13, no. 1, pp. 183-189, 2004.

Rosca, D., Finite element operators for scattered data, in M. Ivan (ed.), Mathematical Analysis and Approximation Theory, Mediamira Science Publisher, pp. 229-238, 2005.

Stancu, D.D., Coman, Gh. and Blaga, P., Analiză numerică şi teoria aproximării, Presa Universitară Clujeană, 2002.

Zienkiewicz, O.C. and Taylor, R.L., The finite element method, vol. 2: Solid Mechanics, Butterworth-Heinemann, 2000.

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Published

2005-08-01

How to Cite

Roşca, D. (2005). Bidimensional interpolation operators of finite element type and degree of exactness two. Rev. Anal. Numér. Théor. Approx., 34(2), 195–205. https://doi.org/10.33993/jnaat342-806

Issue

Vol. 34 No. 2 (2005)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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