Bommes Lab

University of Bern

- · Switzerland

ERC-funded
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ERC Starting Grant · 2019

Algorithmic Hexahedral Mesh Generation

Digital geometry representations are nowadays a fundamental ingredient of many applications, as for instance CAD/CAM, fabrication, shape optimization, bio-medical engineering and numerical simulation. Among volumetric discretizations the "holy grail" are hexahedral meshes, i.e. a decomposition of the domain into conforming cube-like elements. For simulations they offer accuracy and efficiency that cannot be obtained with alternatives like tetrahedral meshes, specifically when dealing with higher-order PDEs. So far, automatic hexahedral meshing of general volumetric domains is a long-standing, notoriously difficult and open problem. Our main goal is to develop algorithms for automatic…

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