@Article{cmes.2008.032.069, AUTHOR = {N.B.Petrovskaya}, TITLE = {Discontinuous Weighted Least-Squares Approximation on Irregular Grids}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {32}, YEAR = {2008}, NUMBER = {2}, PAGES = {69--84}, URL = {http://www.techscience.com/CMES/v32n2/25178}, ISSN = {1526-1506}, ABSTRACT = {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.}, DOI = {10.3970/cmes.2008.032.069} }