A Rescaled Localized Radial Basis Function Interpolation On Non-Cartesian And Nonconforming Grids

In this paper we propose a rescaled localized radial basis function (RL-RBF) interpolation method, based on the use of compactly supported radial basis functions. Starting from the classical RBF interpolation technique, we introduce a rescaling that allows for exact interpolation of constant fields between nonconforming meshes without the use of an extra polynomial term. We also present two-dimensional and three-dimensional numerical examples on arbitrary finite element meshes to show that the RL-RBF interpolation leads to accurate results, fast evaluation, and easy parallelization of the algorithm. All the computations are carried out using the open source finite element library LifeV.


Published in:
Siam Journal On Scientific Computing, 36, 6, A2745-A2762
Year:
2014
Publisher:
Philadelphia, Siam Publications
ISSN:
1064-8275
Keywords:
Laboratories:




 Record created 2015-02-20, last modified 2018-03-17


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