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Discontinuous Weighted Least-Squares Approximation on Irregular Grids

N.B.Petrovskaya 1

School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, The United Kingdom.

Computer Modeling in Engineering & Sciences 2008, 32(2), 69-84. https://doi.org/10.3970/cmes.2008.032.069

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.

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APA Style
, N. (2008). Discontinuous weighted least-squares approximation on irregular grids. Computer Modeling in Engineering & Sciences, 32(2), 69-84. https://doi.org/10.3970/cmes.2008.032.069
Vancouver Style
N. Discontinuous weighted least-squares approximation on irregular grids. Comput Model Eng Sci. 2008;32(2):69-84 https://doi.org/10.3970/cmes.2008.032.069
IEEE Style
N. , "Discontinuous Weighted Least-Squares Approximation on Irregular Grids," Comput. Model. Eng. Sci., vol. 32, no. 2, pp. 69-84. 2008. https://doi.org/10.3970/cmes.2008.032.069



cc Copyright © 2008 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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