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 - <p style="text-align: justify;">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.</p>