@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}
}