Volume 16, Issue 4
Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals
DOI:

J. Comp. Math., 16 (1998), pp. 337-344

Published online: 1998-08

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• 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.

• Keywords

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

@Article{JCM-16-337, author = {}, title = {Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {4}, pages = {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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9164.html} }
TY - JOUR T1 - Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals JO - Journal of Computational Mathematics VL - 4 SP - 337 EP - 344 PY - 1998 DA - 1998/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9164.html KW - Hypersingular integral KW - finite-part integral KW - quasi-interpolating operator KW - non-uniform type-2 triangulation AB - 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.