A radial basis function WENO method with stencil adaptivity

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

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.


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Published: 2016-07-15

How to Cite this Article:

Terhemen Aboiyar, Mary-Anne Msuur Shior, Danasabe Tama Ali, A radial basis function WENO method with stencil adaptivity, Eng. Math. Lett., 2016 (2016), Article ID 6

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.

Engineering Mathematics Letters

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