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Titlebook: SIAM International Meshing Roundtable 2023; Eloi Ruiz-Gironés,Rubén Sevilla,David Moxey Conference proceedings 2024 The Editor(s) (if appl

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Quadrilateral Mesh of Non-simply Connected Domain and Non-planar Surfaces From a Given Cross-Field this point of view, we handle the case of non-simply connected domains and we also address the notion of singular point placement on the edge, which allows us to handle geometries of arbitrary index. Finally, we give an extension of the method to non-planar surface manifolds.
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Combinatorial Methods in Grid Based Meshing fitting the pre-generated subdivisions into the Precursor Mesh. This step guarantees that the elements are of good quality. In the final stage, the mesh nodes are mapped to geometric entities of the target geometry to get an exact match. We demonstrate our method with multiple examples showing the strength of this approach.
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Estimating the Number of Similarity Classes for Marked Bisection in General Dimensionsof the number of similarity classes for marked bisection and newest vertex bisection. Because this ratio grows exponentially with the dimension, we conclude that marked bisection is suitable for low-dimensional applications.
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Formal Definition of Hexahedral Blocking operations Using n-G-Mapsedral block structures and main associated operations in the model of .-dimensional generalized map. This model provides topological invariant and a systematic handling of geometric data that allows us to ensure the expected robustness.
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