References of "Remacle, J.-F"
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See detailComputing Bounds on the Geometrical Quality of 2D Curvilinear Finite Elements
Johnen, Amaury ULg; Remacle, J.-F.; Toulorge, T. et al

Conference (2013, April 25)

The development of high-order computational methods for solving partial differen- tial equations on unstructured grids has been underway for many years. Such meth- ods critically depend on the ... [more ▼]

The development of high-order computational methods for solving partial differen- tial equations on unstructured grids has been underway for many years. Such meth- ods critically depend on the availability of high-quality curvilinear meshes, as one badly-shaped element can degrade the solution in the whole domain (J. Shewchuk, “What Is a Good Linear Finite Element? Interpolation, Conditioning, Anisotropy, and Quality Measures”, Preprint, 2002). The usual way of generating curved meshes is to first generate a straight sided mesh and to curve mesh entities that are classified on the boundaries of the domain. The latter operation introduces a “shape-distortion” that should be controlled if we suppose that the straight sided mesh is composed of well-shaped elements. Quality measures allow to quantify to which point an element is well-shaped. They also provide tools to improve the quality of meshes through optimization opera- tions. Many quality measures has been proposed for quadratic triangular finite element. Recently, X. Roca et al. (“Defining Quality Measures for High-Order Planar Triangles and Curved Mesh Generation”, Proceedings of the 20th Interna- tional Meshing Roundtable, 2011) proposed a technique that allows extending any Jacobian based quality measure for linear elements to high-order iso-parametric planar triangles of any interpolation degree. In this work we propose an efficient method to provide accurate bounds on the mag- nitude of the shape distortion of any triangular and quadrangular curved element. The shape distortion is measured with respect to an ideal element, which can e.g. be an equilateral triangle or the element from the original straight-sided mesh. The key feature of the method is that we can adaptively expand functions based on the Jacobian matrix and its determinant in terms of Be ́zier functions. Be ́zier functions have both properties of boundedness and positivity, which allow sharp computation of minimum or maximum of the interpolated functions. [less ▲]

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See detailGeometrical Validity of Curvilinear Finite Elements
Johnen, Amaury ULg; Remacle, J.-F.; Geuzaine, Christophe ULg

in Journal of Computational Physics (2013), 233

In this paper, we describe a way to compute accurate bounds on Jacobian de- terminants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid ... [more ▼]

In this paper, we describe a way to compute accurate bounds on Jacobian de- terminants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of curvilinear elements. The key feature of the method is to expand the Jacobian determinant using a polynomial basis, built using B ́ezier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. [less ▲]

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See detailA Frontal Delaunay Quad Mesh Generator Using the L ∞  Norm
Remacle, J.-F.; Henrotte, F.; Carrier-Baudouin, T. et al

in International Journal for Numerical Methods in Engineering (2013), 94(5), 494-512

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See detailONELAB: Open Numerical Engineering LABoratory
Geuzaine, Christophe ULg; Henrotte, F.; Marchandise, E. et al

in Proceedings of the 7th European Conference on Numerical Methods in Electromagnetism (NUMELEC2012) (2012, July)

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See detailQuality open source mesh generation for cardiovascular flow simulations
Marchandise, E.; Crosetto, P.; Geuzaine, Christophe ULg et al

in Ambrosi, D.; Quarteroni, A.; Rozza, G. (Eds.) Modelling Physiological Flow (2012)

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See detailDiscontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials
Kameni, A.; Lambrechts, J.; Remacle, J.-F. et al

in IEEE Transactions on Magnetics (2012), 48(2), 591-594

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See detailBlossom-Quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect matching algorithm
Remacle, J.-F.; Lambrechts, J.; Seny, B. et al

in International Journal for Numerical Methods in Engineering (2012), 89

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See detailMesh influence on cardiovascular simulations
Sauvage, E.; Marchandise, E.; Remacle, J.-F. et al

in Proceedings of the 5th international conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011) (2011, November)

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See detailRobust generation of curvilinear hybrid meshes for CFD
Gorissen, B.; Remacle, J.-F.; Hillewaert, K. et al

in Proceedings of the 5th international conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011) (2011, November)

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See detailA Frontal Delaunay Quad Mesh Generator Using the L ∞  Norm
Remacle, J.-F.; Henrotte, F.; Carrier Baudoin, T. et al

in Proceedings of the 20th International Meshing Roundtable (2011, October)

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See detailQuality Surface Meshing Using Discrete Parametrizations
Marchandise, E.; Remacle, J.-F.; Geuzaine, Christophe ULg

in Proceedings of the 20th International Meshing Roundtable (2011, October)

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See detailImpact of the mesh on the accuracy and efficiency of cardiovascular simulations
Sauvage, E.; Geuzaine, Christophe ULg; Remacle, J.-F. et al

in Proceedings of the ECCOMAS Thematic International Conference on Simulation and Modeling of Biological Flows (SIMBIO 2011) (2011, September)

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See detailDiscontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials"
Kameni, A.; Lambrechts, J.-F.; Remacle, J.-F. et al

in Proceedings of the 18th Conference on the Computation of Electromagnetic Fields (COMPUMAG 2011) (2011, July)

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See detailQuality meshing algorithms for accurate and efficient cardiovascular simulations
Marchandise, E.; Sauvage, E.; Remacle, J.-F. et al

in Nithiarasu, P.; Lohner, R. (Eds.) Procedings of the 2nd International Conference on Mathematical and Computational Biomedical Engineering (CMBE2011) (2011, April)

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See detailQuality surface meshing using discrete parametrizations
Marchandise, E.; Remacle, J.-F.; Piret, C. et al

in Proceedings of the 16th International Conference on Finite Elements in Flow Problems (FEF 2011) (2011, March)

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See detailBlossom-Quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect macthing algorithm
Remacle, J.-F.; Geuzaine, Christophe ULg; Marchandise, E.

in Wall, W. A.; Gravemeier, V. (Eds.) Proceedings of the 16th International Conference on Finite Elements in Flow Problems (FEF 2011) (2011, March)

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See detailHigh Quality Surface Remeshing Using Harmonic Maps. Part II: Surfaces with High Genus and of Large Aspect Ratio
Marchandise, E.; Carton de Wiart, C.; Vos, W. et al

in International Journal for Numerical Methods in Engineering (2011), 86(11), 1303-1321

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See detailHigh Quality Surface Remeshing Using Harmonic Maps: Surfaces with High Genus and of Large Aspect Ratio
Remacle, J.-F.; Geuzaine, Christophe ULg; Marchandise, E.

in Proceedings of the Third Workshop on Grid Generation for Numerical Computations, Tetrahedron III (2010, September)

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See detailHigh-quality remeshing using harmonic maps
Geuzaine, Christophe ULg; Marchandise, E.; Remacle, J.-F.

in Proceedings of the 5th Advanced Computational Electromagnetics workshop (2010, July)

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See detailMéthode de Galerkin discontinue appliqué à la diffusion non linéaire dans les supraconducteurs
Kameni Ntichi, Abelin ULg; Lambrechts, J.; Remacle, J.-F. et al

in Proceedings of the 40e Congrès National d'Analyse Numérique (CANUM 2010) (2010)

Detailed reference viewed: 73 (13 ULg)