Geodesic
Co-refinement of fault surfaces : convexification process
L. Agelas1 ; A. Benali1 ; S. Benteboula2 ; A. Claisse3 ; P. Havé1 ; A. Loseille4
1 IFP (Institut Français du Pétrole), 1-4 avenue de Bois Préau, 92500 Rueil Malmaison, France.
2 UPMC Univ Paris 06, UMR 7598, Laboratoire J.-L. Lions, F-75005 Paris, France.
3 UPMC Univ Paris 06, UMR 7598, Laboratoire J.-L. Lions, F-75005 Paris, France, supported by a grant from the Région Ile de France.
4 INRIA Rocquencourt, Le Chesnay, France.
ESAIM. Proceedings, Tome 24 (2008), pp. 60-76.

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The aim of this work is to develop an algorithm that allows the common refinement of non-coincident meshes composed of arbitrary 3D surfaces elements (triangles, quad elements). This study is motivated by computations in geologic applications which involve complex geometries with heterogeneous components and geologic faults. The resulting meshes are linked through a continuous bijection in order to ensure the accuracy and the conservativity of the data transferring through the surfaces. The strategy adopted consists, first, of the simultaneous convexification of the two surfaces by the mean of points connections. A projection according to given normals is then achieved. The mesh quality improved by applying a surface smoothing should accelerate the procedure convergence.
DOI : 10.1051/proc:2008030

L. Agelas 1 ; A. Benali 1 ; S. Benteboula 2 ; A. Claisse 3 ; P. Havé 1 ; A. Loseille 4

1 IFP (Institut Français du Pétrole), 1-4 avenue de Bois Préau, 92500 Rueil Malmaison, France.
2 UPMC Univ Paris 06, UMR 7598, Laboratoire J.-L. Lions, F-75005 Paris, France.
3 UPMC Univ Paris 06, UMR 7598, Laboratoire J.-L. Lions, F-75005 Paris, France, supported by a grant from the Région Ile de France.
4 INRIA Rocquencourt, Le Chesnay, France. 
@article{EP_2008_24_a5,
     author = {L. Agelas and A. Benali and S. Benteboula and A. Claisse and P. Hav\'e and A. Loseille},
     title = {Co-refinement of fault surfaces : convexification process},
     journal = {ESAIM. Proceedings},
     pages = {60--76},
     publisher = {mathdoc},
     volume = {24},
     year = {2008},
     doi = {10.1051/proc:2008030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2008030/}
}
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L. Agelas; A. Benali; S. Benteboula; A. Claisse; P. Havé; A. Loseille. Co-refinement of fault surfaces : convexification process. ESAIM. Proceedings, Tome 24 (2008), pp. 60-76. doi : 10.1051/proc:2008030. http://geodesic.mathdoc.fr/articles/10.1051/proc:2008030/

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