TY  - EJOU
AU  - N.B.Petrovskaya, 

TI  - Discontinuous Weighted Least-Squares Approximation on Irregular Grids
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 32
IS  - 2
SN  - 1526-1506

AB  - Discontinuous weighted least--squares (DWLS) approximation is a modification of a standard weighted least-squares approach that nowadays is intensively exploited in computational aerodynamics. A DWLS method is often employed to approximate a solution function over an unstructured computational grid that results in an irregular local support for the approximation. While the properties of a weighted least-squares reconstruction are well known for regular geometries, the approximation over a non-uniform grid is not a well researched area so far. In our paper we demonstrate the difficulties related to the performance of a DWLS method on distorted grids and outline a new approach based on a revised definition of distant points on distorted grids. Our discussion is illustrated by examples of DWLS approximation taken from computational aerodynamics problems.
KW  - Discontinuous weighted least-squares approximation
KW  -  stretched mesh
KW  -  outliers

DO  - 10.3970/cmes.2008.032.069