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Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals
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@Article{JCM-16-337,
author = {Wang , Renhong and Lu , You},
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
AU - Wang , Renhong
AU - Lu , You
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, finite-part integral, quasi-interpolating operator, 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.
Renhong Wang & You Lu. (1970). Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals.
Journal of Computational Mathematics. 16 (4).
337-344.
doi:
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