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Abstract:
The goal of this session is to bring together researchers from all over the world who are working on numerical methods for solving PDEs, integral equations or simply doing computations on manifolds that are not defined through an explicit parameterization (e.g. immersed boundary methods using a level set function, sharp methods for interface problems or the closest point method). Such numerical methods are needed in applications where the interface is evolving in time and undergoing topological changes for instance, and where the solution of a PDE is needed on some manifold. The session is also motivated by the recent need to work with unstructured point sets that are either sampled from an underlying manifold or acquired through some device (e.g. 3D scanner). We hope that in bringing experts in this field together, we will produce fruitful discussions and new ideas.
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