The Partition of Unity Method for High-Order Finite Volume Schemes Using Radial Basis Functions Reconstruction
Year: 2009
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 2 : pp. 153–179
Abstract
This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equations. The unknown function and its gradient can be accurately reconstructed using high order optimal recovery based on radial basis functions. The methodology proposed is applied to the noise removal problem in functional surfaces and images. Numerical results demonstrate the effectiveness of the new numerical approach and provide experimental order of convergence.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-NMTMA-6020
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 2 : pp. 153–179
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Finite volume discretization radial basis functions optimal recovery regularization image and surface denoising.