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Principles of a network element method

Abstract : We introduce a new variational numerical method which does not require any background mesh to compute the scheme coefficients. Replacing the mesh by a point cloud endowed with connectivity, which we call a discretization network, and following the virtual element framework we derive a consistent, coercive and stable numerical scheme. We illustrate the good behavior of the method on several numerical examples.
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https://hal-ifp.archives-ouvertes.fr/hal-03245165
Contributor : Nadine Couëdel <>
Submitted on : Tuesday, June 1, 2021 - 3:58:07 PM
Last modification on : Wednesday, June 2, 2021 - 3:02:58 AM

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Julien Coatléven. Principles of a network element method. Journal of Computational Physics, Elsevier, 2021, 433, pp.110197. ⟨10.1016/j.jcp.2021.110197⟩. ⟨hal-03245165⟩

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