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Journal articles
A discrete duality finite volume approach to Hodge decomposition and div-curl problems on almost arbitrary two-dimensional meshes
Abstract : We define discrete differential operators such as grad, div and curl, on general two-dimensional meshes. These operators verify discrete analogues of usual continuous theorems Green formulae, Hodge decomposition of vector fields, vector curls have a vanishing divergence and gradients have a vanishing curl.We apply these ideas to discretize div-curl systems. We give error estimates and present numerical results on several types of meshes,among which degenerating meshes and non-conforming meshes.
https://hal-cea.archives-ouvertes.fr/cea-02341906
Contributor : Amplexor Amplexor <>
Submitted on : Thursday, October 31, 2019 - 4:23:19 PM
Last modification on : Tuesday, April 28, 2020 - 11:28:13 AM
Contributor : Amplexor Amplexor <>
Submitted on : Thursday, October 31, 2019 - 4:23:19 PM
Last modification on : Tuesday, April 28, 2020 - 11:28:13 AM
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