Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals

Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals

Year:    1998

Author:    Renhong Wang, You Lu

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 337–344

Abstract

The purpose of this paper is to propose and study a class of quasi-interpolating operators in multivariate spline space $S_2^1 (\Delta_{mn}^{2*})$ on non-uniform type-2 triangulation. Based on the operators, we construct cubature formula for two-dimensional hypersingular integrals. Some computing work have been done and the results are quite satisfactory.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9164

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 4 : pp. 337–344

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Hypersingular integral finite-part integral quasi-interpolating operator non-uniform type-2 triangulation.

Author Details

Renhong Wang

You Lu