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Anisotropic Meshing

Papers with some reference to the generation of anisotropic elements. Anisotropy refers to elements that are intentionally stretched in order to capture some physical phenomena in the model.

MESHING
RESEARCH
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Alauzet, Frederic and Adrien Loseille

    "On the Use of Space Filling Curves for ParallelAnisotropic Mesh Adaptation", Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.337-357, October 25-28 2009
    keywords:
    • Space filling curves
    • shared-memory multi-threaded parallelization
    • out-of-core parallelization
    • anisotropic mesh adaptation
    • mesh partition.
    Abstract
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Alauzet, Frederic, Adrien Loseille, Alain Dervieux, and Pascal Frey
    "Multi-Dimensional Continuous Metric for Mesh Adaptation", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.191-214, September 17-20 2006
    keywords:
    • continuous metric
    • metric tensor
    • mesh adaptation
    • anisotropy
    • interpolation error
    • order of convergence
    Abstract
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Alauzet, Frederic, Anca Belme, and Alain Dervieux
    "Anisotropic Goal-Oriented Mesh Adaptation for Time Dependent Problems", 20th International Meshing Roundtable, Springer-Verlag, pp.99-121, October 23-26 2011
    keywords:
    • unsteady compressible flow
    • goal-oriented mesh adaptation
    • anisotropic mesh adaptation
    • adjoint
    • metric
    Abstract
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Berndt, Markus and Mikhail Shashkov
    "Multilevel accelerated optimization for problems in grid generation", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.351-359, Sept. 2003
    keywords:
    • smoothing
    • optimization
    • multilevel methods
    • coarsening
    • untangling
    • triangle
    • anisotropy
    Abstract
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Borouchaki, Houman, Frediric Hecht and Pascal J. Frey
    "Mesh Gradation Control", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.131-141, October 1997
    keywords:
    • anisotropy
    • background mesh
    • curvature
    • gradation
    • Riemann
    • size control
    • surface meshing
    Abstract
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Borouchaki, Houman, Pascal J. Frey and Paul Louis George
    "Unstructured Triangular-Quadrilateral Mesh Generation. Application to Surface Meshing.", 5th International Meshing Roundtable, Sandia National Laboratories, pp.229-242, October 1996
    keywords:
    • adaptivity
    • anisotropy
    • quadrilateral
    • surface meshing
    • triangle
    Abstract
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Bossen, Frank, J. and Paul S. Heckbert
    "A Pliant Method for Anisotropic Mesh Generation", 5th International Meshing Roundtable, Sandia National Laboratories, pp.63-76, October 1996
    keywords:
    • anisotropy
    • bubble
    • sphere packing
    • triangle
    Abstract
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Caplan, Philip, Robert Haimes, Dacid L. Darmofal, and Steven R. Allmaras
    "Anisotropic advancing front quadrangulationwith optimization-based smoothing", Research Notes, 22nd International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 13-16 2013
    keywords:
    • anisotropic
    • quadrangulation
    • optimization-based smoothing
    Abstract
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Castro-Diaz, M.J., F. Hecht, and B. Mohammadi
    "New Progress in Anisotropic Grid Adaptation for Inviscid and Viscous Flows Simulations", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.73-85, October 1995
    keywords:
    • adaptivity
    • anisotropy
    • CFD
    • Delaunay
    • metric
    Abstract
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Chen, Hao and Jonathan Bishop
    "Delaunay Triangulation for Curved Surfaces", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.115-127, October 1997
    keywords:
    • anisotropy
    • curvature
    • Delaunay
    • parametric mapping
    • Riemann
    • surface meshing
    • triangle
    Abstract
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Chen, Long
    "Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.109-120, September 19-22 2004
    keywords:
    • anisotropic mesh adaptation
    • Delaunay
    • Voronoi tessellation
    • smoothing
    Abstract
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Coupez, T., G. Jannoun, J. Veysset and E. Hachem
    "Edge-Based Anisotropic Mesh Adaptation for CFD Applications", 21st International Meshing Roundtable, Springer-Verlag, pp.567-582, October 7-10 2012
    keywords:
    • anisotropic mesh adaptation
    • CFD
    • length distribution tensor
    Abstract
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D'Azevedo, Ed
    "On Optimal Bilinear Quadrilateral Meshes", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.19-33, October 1998
    keywords:
    • anisotropy
    • quadrilateral
    • super-convergence
    • bilinear
    Abstract
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Dassi, Franco and Andrea Mola, Hang Si
    "Curvature-Adapted Remeshing of CAD Surfaces", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • surface mesh generation
    • surface remeshing
    • curvature-adapted
    • anisotropic
    • mesh optimization
    • edge flip
    Abstract
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Dassi, Franco, Hang Si, Simona Perotto, Timo Streckenbach
    "Anisotropic Finite Element Mesh Adaptation via Higher Dimensional Embedding", 24th International Meshing Roundtable, Elsevier Ltd., October 12-14 2015
    keywords:
    • anisotropic meshes
    • mesh optimization
    • partial differential equations
    Abstract
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Frey, Pascal J. and Frederic Alauzet
    "Anisotropic mesh adaptation for transient flows simulations", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.335-348, Sept. 2003
    keywords:
    • adaptivity
    • anisotropy
    • metric
    • error estimate
    • CFD
    • transient problem
    Abstract
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Frey, Pascal J., Houman Borouchaki and Paul-Louis George
    "Delaunay Tetrahedralization using an Advancing-Front Approach", 5th International Meshing Roundtable, Sandia National Laboratories, pp.31-46, October 1996
    keywords:
    • adaptivity
    • advancing front
    • anisotropy
    • Delaunay
    • tetrahedron
    Abstract
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Garimella, Rao V. and Mark S. Shephard
    "Boundary Layer Meshing for Viscous Flows in Complex Domains", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.107-118, October 1998
    keywords:
    • tetrahedra
    • boundary layer
    • CFD
    • anisotropy
    • advancing layers
    Abstract
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George, Paul Louis and Houman Borouchaki
    "Back to edge flips in 3 dimensions", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.393-402, Sept. 2003
    keywords:
    • tetahedra
    • edge flips
    • edge removal
    • edge reduction
    • anisotroopy
    • optimization
    • delaunization
    • optimization
    • boundary integrity
    • topology improvement
    • improvement
    Abstract
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Guskov, Igor
    "An Anisotropic Mesh Parameterization Scheme", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.325-332, September 15-18 2002
    keywords:
    • structured surface mesh generation
    • anisotropy
    • remeshing
    • surface parameterization
    Abstract
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Haimes, Robert and Michael J. Aftosmis
    "Watertight Anisotropic Surface Meshing Using Quadrilateral Patches", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.311-322, September 19-22 2004
    keywords:
    • surface triangulation
    • anisotropy
    • quadrilateral
    • CAD geometry
    • mapping templates
    Abstract
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Hu, Kangkang, Jin Qian, and Yongjie Zhang
    "Adaptive All-Hexahedral Mesh Generation Based on A Hybrid Octree and Bubble Packing", Research Notes, 22nd International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 13-16 2013
    keywords:
    • hybrid octree
    • all-hexahedral mesh
    • adaptation control
    • bubble packing
    • isotropic and anisotropic mesh
    Abstract
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Jansen, K.E and M.S. Shephard
    "On Anisotropic Mesh Generation and Quality Control in Complex Flow Problems", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.341-349, October 7-10 2001
    keywords:
    • anisotropy
    • mesh control
    • hybrid grid generation
    • CFD
    • smoothing
    Abstract
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Jensen, Kristian E.
    "Optimising Stress Constrained Structural Optimisation", 23rd International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-15 2014
    keywords:
    • topology optimisation
    • stress constrained
    • anisotropic mesh adaptation
    Abstract
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Jiao, Xiangmin, Andrew Colombi, Xinlai Ni, and John C. Hart
    "Anisotropic Mesh Adaptation for Evolving Triangulated Surfaces", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.173-190, September 17-20 2006
    keywords:
    • mesh adaptation
    • anisotropic meshes
    • dynamic surfaces
    • feature preservation
    Abstract
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Kamenski, Lennard, Weizhang Huang, and Jens Lang
    "A New Anisotropic Mesh Adaptation MethodBased upon Hierarchical A Posteriori ErrorEstimates", Reserach Notes, 18th International Meshing Roundtable, Springer-Verlag, pp.11-15, October 25-28 2009
    keywords:
    • mesh adaptation; anisotropic mesh; finite element; a posteriori errorestimates
    Abstract
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Keskin, Umit and Joaquim Peiro
    "A Level Set Method for the Construction of Anisotropic Boundary-Conforming Voronoi Regions and Delaunay Triangulations", Research Notes, 20th International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 23-26 2011
    keywords:
    • Voronoi diagrams
    • Delaunay triangulation
    • level set method
    • crystal growth
    • Riemannian metric
    • anisotropic meshes
    Abstract
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Labbe, Paul, Julien Dompierre, Marie-Gabrielle Vallet, Francois Guibault and Jean-Yves Trepanier
    "A Measure of the Conformity of a Mesh to an Anisotropic Metric", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.319-326, October 7-10 2001
    keywords:
    • metric
    • anisotropy
    • shape measure
    • size measure
    • mesh conformity
    • quality
    Abstract
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Laug, Patrick and Houman Borouchaki
    "High Quality Geometric Meshing of CAD surfaces", 20th International Meshing Roundtable, Springer-Verlag, pp.63-80, October 23-26 2011
    keywords:
    • parametric surface meshing
    • curve discretization
    • anisotropic meshing
    • mesh gradation
    • geometric meshes
    Abstract
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Lennard Kamenski
    "A Study on Using Hierarchical Basis ErrorEstimates in Anisotropic Mesh Adaptationfor the Finite Element Method", Proceedings, 19th International Meshing Roundtable, Springer-Verlag, pp.297-314, October 3-6 2010
    keywords:
    • mesh adaptation
    • anisotropic mesh
    • nite element
    • a posteriori estimate
    • hierarchical basis
    • variational problem
    • anisotropic diffusion.
    Abstract
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Levy, Bruno and Nicolas Bonneel
    "Variational Anisotropic Surface Meshing with Voronoi Parallel Linear Enumeration", 21st International Meshing Roundtable, Springer-Verlag, pp.344-366, October 7-10 2012
    keywords:
    • anisotropic
    • surface mesh
    • Centroidal Voroni Tessellation
    • CVT
    • Restricted Voroni
    • Vorpaline
    Abstract
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Li, Xiang-Yang, Shang-Hua Teng and Alper Ungor
    "Biting Ellipses to Generate Anisotropic Mesh", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.97-108, October 1999
    keywords:
    • anisotropy
    • metrics
    • biting
    • advancing front
    • sphere packing
    • tetrahedra
    Abstract
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Li, Xiangrong, Jean-Francois Remacle, Nicolas Chevaugeon and Mark S. Shephard
    "Anisotropic Mesh Gradation Control", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.401-412, September 19-22 2004
    keywords:
    • tensor field
    • anisotropic
    • gradation
    • adaptation
    • sizing function
    Abstract
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Lipnikov, Konstantin and Yuri Vassilevski
    "On discrete boundaries and solution accuracy in anisotropic adaptive meshing", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.313-324, September 11-14 2005
    keywords:
    • adaptivity
    • anisotropy
    • solution accuracy
    Abstract
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Lopez, David and Bruno Levy
    "Dynamic Mesh Optimization for Free Surfaces in Fluid Simulation", Research Notes, 21st International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 7-10 2012
    keywords:
    • Centroidal Voroni Diagram
    • fluid front
    • isotropic meshes
    • anisotropic meshes
    Abstract
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Loseille, Adrien
    "Metric-orthogonal anisotropic mesh generation", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • Anisotropic Mesh Adaptation
    • Cavity-based Operators
    • Orthogonality
    • Quasi-structured Meshes
    • Metric Alignment
    • Metric-Orthogonal Meshes
    • Cartesian Core
    • Generalized Coarsening Operator
    Abstract
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Loseille, Adrien and Rainald Lohner
    "On 3D Anisotropic Local Remeshing forSurface, Volume and Boundary Layers", Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.611-630, October 25-28 2009
    keywords:
    • Anisotropic Mesh Adaptation; Surface Remeshing; Metric-Based ErrorEstimate; Boundary Layers Mesh Generation; Level-Set Function.
    Abstract
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Loseille, Adrien and Victorien Menier
    "Serial and Parallel Mesh Modification Through a Unique Cavity-Based Primitive", 22nd International Meshing Roundtable, Springer-Verlag, pp.541-558, October 13-16 2013
    keywords:
    • cavity-based operators
    • surface and volume remeshing
    • anisotropic mesh generation
    Abstract
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Loseille, Adrien, Victorien Menier, Frederic Alauzet
    "Parallel generation of large-size adapted meshes", 24th International Meshing Roundtable, Elsevier Ltd., October 12-14 2015
    keywords:
    • Surface remeshing
    • Anisotropic Mesh Adaptation
    • Cavity-based primitives
    • Out-of-core
    • Parallel meshing
    • Domain partitioning
    • coarse-grained parallelization
    Abstract
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Loseille, Adrien, and Frederic Alauzet
    "Optimal 3D Highly Anisotropic MeshAdaptation Based on the Continuous MeshFramework", Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.575-594, October 25-28 2009
    keywords:
    • Anisotropy; multi-scale mesh adaptation; metric-based mesh adaptation;continuous mesh; convergence order; Euler equations.
    Abstract
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Makem, Jonathan E., Cecil G. Armstrong and Trevor T. Robinson
    "Automatic Decomposition and Efficient Semi-structured Meshing of Complex Solids", 20th International Meshing Roundtable, Springer-Verlag, pp.199-215, October 23-26 2011
    keywords:
    • Automatic decomposition
    • geometric reasoning
    • efficient meshing
    • metric field
    • anisotropic meshing
    Abstract
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Marcum, David and Frederic Alauzet
    "Aligned Metric-Based Anisotropic Solution Adaptive Mesh Generation", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • Unstructured mesh generation
    • advancing front
    • metric-based anisotropic mesh
    • mesh alignment
    • solution-adaptive mesh
    Abstract
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Marcum, David L.
    "Efficient Generation of High Quality Unstructured Surface and Volume Grids", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.distributed at conference, October 2000
    keywords:
    • surface meshing
    • tetrahedra
    • triangle
    • anisotropy
    • high aspect ratio
    • advancing front
    • advancing normal
    • local reconnection
    • AFLR
    • surface mapping
    • parameterization
    Abstract
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Mbinky, Estelle, Frederic Alauzet and Adrien Loseille
    "Higher-Order Interpolation for Mesh Adaptation", Research Notes, 21st International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 7-10 2012
    keywords:
    • anisotropic metrics
    • mesh adaptation
    • Sylvester decomposition
    Abstract
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Pardue, Juliette ,Nikos Chrisochoides, and Andrey Chernikov
    "Parallel Two-Dimensional Unstructured Anisotropic Delaunay Mesh Generation for Aerospace Applications", 24th International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-14 2015
    keywords:
    • mesh generation
    • parallel
    • anisotropic
    • delaunay
    Abstract
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Pellenard, Bertrand, Jean-Marie Morvan, and Pierre Alliez
    "Anisotropic Rectangular Metric for Polygonal Surface Remeshing", 21st International Meshing Roundtable, Springer-Verlag, pp.367-384, October 7-10 2012
    keywords:
    • anisotropic
    • polygonal surface remeshing
    • anisotropic rectangular metric
    Abstract
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Quadros, W.R. and Kenji Shimada
    "Hex-Layer: Layered All-Hex Mesh Generation on Thin Section Solids via Chordal Surface Transformation", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.169-182, September 15-18 2002
    keywords:
    • quadrilateral meshing
    • chordal axis transform
    • medial surface
    • and anisotropic hexahedral mesh generation
    Abstract
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Remacle, Jean-Francois, Xiangrong Li, Nicolas Chevaugeon and Mark S. Shephard
    "Transient Mesh Adaptation Using Conforming and Non Conforming Mesh Modifications", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.261-274, September 15-18 2002
    keywords:
    • mesh adaptation
    • discontinuous Galerkin
    • anisotropy
    Abstract
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Shimada, Kenji, Atsushi Yamada and Takayuki Itoh
    "Anisotropic Triangular Meshing of Parametric Surfaces via Close Packing of Ellipsoidal Bubbles", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.375-390, October 1997
    keywords:
    • anisotropy
    • bubble
    • Delaunay
    • surface
    • triangle
    Abstract
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Sirois, Yannick, Julien Dompierre, Marie-Gabrielle Vallet, and Francois Guibault
    "Mesh Smoothing Based on Riemannian Metric Non-Conformity Minimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.271-288, September 17-20 2006
    keywords:
    • mesh quality
    • mesh optimization
    • mesh adaptation
    • element size
    • element shape
    • metric comparison
    • boundary orthogonality
    • anisotropy
    • metric
    • smoothing
    Abstract
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Tchon, Ko-Foa and Ricardo Camarero
    "Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.21-38, September 17-20 2006
    keywords:
    • quad-dominant
    • adaptivity
    • anisotropy
    • Riemannian metric
    Abstract
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Tchon, Ko-Foa, Julien Dompierre and Ricardo Camarero
    "Conformal Refinement of All-Quadrilateral and All-Hexahedral Meshes According to an Anisotropic Metric", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.231-242, September 15-18 2002
    keywords:
    • unstructured mesh
    • quadrilateral
    • hexahedral
    • conformal refinement
    • anisotropic metric
    Abstract
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Tchon, Ko-Foa, Mohammed Khachan, FranÁois Guibault and Ricardo Camarero
    "Constructing anisotropic geometric metrics using octrees and skeletons", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.293-304, Sept. 2003
    keywords:
    • geometric adaptation
    • anisotropic metric
    • octree skeleton
    • boundary curvature
    • domain thickness
    • medial axis transform
    • brush fire
    • sizing function
    Abstract
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Tishkin, Vladimir and Konstantin Bogomolov
    "Adaptive High-Aspect Ratio Structured 2-D Grids", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.193-204, October 2000
    keywords:
    • mesh optimization
    • optimization
    • adaptivity
    • quadrilateral
    • structured
    • anisotropy
    • boundary layer
    • thin layer
    Abstract
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Vialaneix, Guillaume, Yvan Fournier, and Tamy Boubekeur
    "Hybrid Viscous Layer Insertion in a Tetrahedral Mesh", Research Notes, 21st International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 7-10 2012
    keywords:
    • CFD
    • viscous computations
    • viscous layer
    • anisotropic meshes
    • surface clustering
    Abstract
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Viswanath, Naveen, Kenji Shimada, Takayuki Itoh
    "Quadrilateral Meshing with Anisotropy and Directionality Control via Close Packing of Rectangular Cells", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.217-225, October 2000
    keywords:
    • anisotropy
    • computational geometry
    • quadrilateral
    • circumcircle test
    • bubble packing
    • Delaunay
    • quadrilateral packing
    Abstract
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Vyas, Ved and Kenji Shimada
    "Metric-Field Conditioning for Mesh Adaptation Problems", Research Notes, 21st International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 7-10 2012
    keywords:
    • metric tensor fields
    • filters
    • noise
    • anisotropy
    • global undulations
    Abstract
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Yamakawa, Soji and Kenji Shimada
    "High Quality Anisotropic Tetrahedral Mesh Generation Via Ellipsoidal Bubble Packing", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.263-273, October 2000
    keywords:
    • tetrahedra
    • bubble packing
    • anisotropy
    • graded mesh
    • ellipsoid
    • advancing front
    • physically-based
    Abstract
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Zaide, Daniel W., Carl F. Ollivier-Gooch
    "Anisotropic layering via curve insertion into unstructured meshes", 23rd International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-15 2014
    keywords:
    • unstructured mesh adaptation
    • anisotropic meshing
    • curve insertion
    Abstract
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