Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws

Abstract

This paper is devoted to the study of a new kind of meshfree scheme based on a new class of meshfree derivatives: the renormalized meshfree derivatives, which improve the consistency of the original weighted particle methods. The weak renormalized meshfree scheme, built from the weak formulation of general conservation laws, turns out to be L2 stable under… (More)
DOI: 10.1137/S0036142903427718

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Cite this paper

@article{Lanson2008RenormalizedMS, title={Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws}, author={Nathalie Lanson and Jean-Paul Vila}, journal={SIAM J. Numerical Analysis}, year={2008}, volume={46}, pages={1912-1934} }