Project description DEENESFRITPL Robust and scalable algorithms for automatic hexahedral mesh generation Geometric representations of objects are vital components of many applications such as computer-aided design, biomedical engineering and numerical simulation. The most sought-after representations are hexahedral meshes as they offer a level of accuracy and efficiency that cannot be obtained with other alternatives. However, automatic hexahedral meshing of general volumetric domains has proven to be a persistently difficult problem. The EU-funded AlgoHex project intends to solve this problem by replicating the success story of recent integer-grid map-based algorithms for 2D quadrilateral meshing. To do this, it will develop robust and scalable algorithms for automatic hexahedral mesh generation that offer precise control on regularity, approximation error and element sizing. The project’s approach offers a previously lacking global perspective on the problem. Show the project objective Hide the project objective Objective "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 hexahedral meshing of general volumetric domains that are (i) robust, (ii) scalable and (iii) offer precise control on regularity, approximation error and element sizing/anisotropy. Our approach is designed to replicate the success story of recent integer-grid map based algorithms for 2D quadrilateral meshing. The underlying methodology offers the essential global view on the problem that was lacking in previous attempts. Preliminary results of integer-grid map hexahedral meshing are promising and a breakthrough is in reach. We identified five challenges that need to be addressed in order to reach practically sufficient hexahedral mesh generation. These challenges have partly been resolved in 2D, however, the solutions do not generalize to 3D due to the increased mathematical complexity of 3D manifolds. Nevertheless, with our experience in developing and evaluating the 2D techniques, we identified the key properties that are necessary for success and accordingly propose novel volumetric counterparts that will be developed in the AlgoHex project." Fields of science medical and health sciencesmedical biotechnologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Topic(s) ERC-2019-STG - ERC Starting Grant Call for proposal ERC-2019-STG See other projects for this call Funding Scheme ERC-STG - Starting Grant Coordinator UNIVERSITAET BERN Net EU contribution € 1 482 156,00 Address Hochschulstrasse 6 3012 Bern Switzerland See on map Region Schweiz/Suisse/Svizzera Espace Mittelland Bern / Berne Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Beneficiaries (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all UNIVERSITAET BERN Switzerland Net EU contribution € 1 482 156,00 Address Hochschulstrasse 6 3012 Bern See on map Region Schweiz/Suisse/Svizzera Espace Mittelland Bern / Berne Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
