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Engineering Mathematics Letters ISSN 2049-9337

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Eng. Math. Lett. 2016 (2016), Article ID 6

A radial basis function WENO method with stencil adaptivity

Terhemen Aboiyar, Mary-Anne Msuur Shior, Danasabe Tama Ali

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Abstract

In this paper, the flexibility in the choice of stencil sizes in the radial basis function Weighted Essentially Non-Oscillatory (WENO) reconstruction is used to develop a stencil adaptivity strategy that will be coupled with the WENO method. The size of the stencil is determined by the value of an a posteriori error indicator which determines whether the stencil lies in a smooth region of the solution or across a discontinuity. Numerical results are presented for thin plate spline reconstruction to illustrate the benefits of the proposed method.

Published
15 July 2016
Volume
2016 (2016)
License
CC BY 3.0

Copyright © 2016 Terhemen Aboiyar, Mary-Anne Msuur Shior, Danasabe Tama Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

T. Aboiyar, M.-A. M. Shior, D. T. Ali, A radial basis function WENO method with stencil adaptivity, Eng. Math. Lett. 2016 (2016), 6.

BibTeX
@article{Aboiyar2016,
  author  = {Aboiyar, Terhemen and Shior, Mary-Anne Msuur and Ali, Danasabe Tama},
  title   = {A radial basis function WENO method with stencil adaptivity},
  journal = {Eng. Math. Lett.},
  volume  = {2016},
  year    = {2016},
  pages   = {6},
  doi     = {}
}