Christophe Prud’homme presented recent mathematical advances in our two flagship Cemosis projects eye2brain and hifimagnet as a plenary speaker at ECMI 2018, Budapest, Hungary.
Christophe created the Center for Modeling and Simulation of Strasbourg (Cemosis) in 2013 with the objective to develop the mathematics at the interface with other disciplines, enterprises, and society. We decided back then to have an approach to research which was application driven, interdisciplinary and collaborative. In this context, we have developed national and international partnerships in health and physics where modeling, simulation, optimization (MSO), high-performance computing, data science are core components. In our strategy, software development plays a crucial role, it is, with the joint publications, the glue in our collaborations. To this end, we have developed a framework called Feel++ for solving partial differential equations PDE using a broad range of Galerkin methods.
In this talk, he presented recent contributions to hybridized discontinuous Galerkin (hdG) methods as well as model order reduction methods. These contributions have been developed to solve bottlenecks in applications. Starting with hdG in the context of PDE with integral boundary conditions often involving the coupling with a 0D model, he presented the mathematical and computational frameworks as well as numerical results and applications. The coupling strategy in the presence of 0D models is also discussed. Then he showed our recent contributions in reduced order methods, namely the reduced basis method (RBM) and the empirical interpolation methods (EIM), and in particular in using them to solve non-linear multi-physics PDE with an affordable cost. Until recently, these methods were too prohibitive to be considered in industrial applications involving non-linear multi-physics PDE.
He illustrated these findings with our flagship applications Eye2brain(Health) and Hifimagnet(Physics) which were further demonstrated in the mini-symposium MS21 of ECMI 2018.
Presented projects : Eye2Brain and High Fields Magnet
This work would not have been possible without the contributions of many collaborators in France, in Italy and in the USA on our projects at Cemosis.
This work has received funding from
- European Union’s Horizon 2020 research and innovation program under grant agreement No 731063
- French National Research Agency program under the grant Chorus
- LabEx IRMIA.