caa a22 4500 445861983 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10092-010-0032-7 doi (NATIONALLICENCE)springer-10.1007/s10092-010-0032-7 Petrovskaya N. School of Mathematics, University of Birmingham, Edgbaston, B15 2TT, Birmingham, UK aut Data dependent weights in discontinuous weighted least-squares approximation with anisotropic support [Elektronische Daten] [N. Petrovskaya] Discontinuous weighted least-squares (DWLS) approximation is modification of a weighted least-squares method that requires a local support (a reconstruction stencil) to approximate a function at a given point. A DWLS method is often employed in computational problems where a function is approximated on an irregular computational grid. It has recently been revealed that the method provides inaccurate approximation on irregular grids and conventional weighting of distant points captured by a reconstruction stencil on an irregular coarse mesh does not improve the accuracy of the approximation. Thus in our paper we further investigate the impact of distant points on the accuracy of DWLS approximation and design new weight coefficients for DWLS reconstruction that allow one to obtain more accurate reconstruction results. Our approach is based on a concept of numerically distant points originally developed in author's previous works, as a new weight function calculates the distance between two points in the data space. Springer-Verlag, 2010 Weighted least-squares approximation nationallicence Coarse mesh nationallicence Directional error estimates nationallicence Calcolo Springer Milan 48/1(2011-03-01), 127-143 0008-0624 48:1<127 2011 48 10092 https://doi.org/10.1007/s10092-010-0032-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-010-0032-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Petrovskaya N. School of Mathematics, University of Birmingham, Edgbaston, B15 2TT, Birmingham, UK aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/1(2011-03-01), 127-143 0008-0624 48:1<127 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer