[French version below] Philippe Ricka and François Der Hovsepian attended the first international school on HemoPhysics – HemPhys – which took place in Montpellier on 15-18 May 2018. Researchers from …
Soutenance de thèse de C. Daversin
Cemosis a le plaisir de vous convier à la soutenance de thèse de Cécile Daversin qui se tiendra le lundi 19 septembre à 14h dans la salle de conférences de …
Abstract on Hybrid Discontinuous Galerkin method with integral boundary accepted at IHP conference
Our abstract on an HDG Method For Coupling Multiscale Models involving integral Boundary Conditions has been accepted at the Conference at IHP Oct 3-7 on Advanced Numerical Methods : Recent Developments, …
Simultaneous empirical interpolation and reduced basis method. Application to non-linear multi-physics problem
This paper focuses on the reduced basis method in the case of non-linear and non-affinely parametrized partial differential equations where affine decomposition is not obtained. In this context, Empirical Interpolation Method (EIM) is commonly used to recover the affine decomposition necessary to deploy the Reduced Basis (RB) methodology. The build of each EIM approximation requires many finite element solves which increases significantly the computational cost hence making it inefficient on large problems. We propose a Simultaneous EIM and RB method (SER) whose principle is based on the use of reduced basis approximations into the EIM building step. The number of finite element solves required by SER can drop to N + 1 where N is the dimension of the RB approximation space, thus providing a huge computational gain. The SER method has already been introduced and illustrated on a 2D benchmark. This paper develops the SER method with some variants and in particular a multilevel SER, SER(l) which improves significantly SER at the cost of lN + 1 finite element solves. Finally we discuss these extensions on a 3D multi-physics problem.
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