Journal article

A singularity-avoiding moving least squares scheme for two-dimensional unstructured meshes

Samuel KM Chenoweth, Julio Soria, Andrew Ooi

JOURNAL OF COMPUTATIONAL PHYSICS | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2009

Abstract

Moving least squares interpolation schemes are in widespread use as a tool for numerical analysis on scattered data. In particular, they are often employed when solving partial differential equations on unstructured meshes, which are typically needed when the geometry defining the domain is complex. It is known that such schemes can be singular if the data points in the stencil happen to be in certain special geometric arrangements, however little research has specifically addressed this issue. In this paper, a moving least squares scheme is presented which is an appropriate tool for use when solving partial differential equations in two dimensions, and the precise conditions under which sin..

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University of Melbourne Researchers

Grants

Awarded by Australian Research Council


Funding Acknowledgements

The authors would like to acknowledge the support of the Australian Research Council for this research through Grant DP0556098.