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Cécile Daversin

Researcher at Institute of Rural Management Anand

Publications -  11
Citations -  60

Cécile Daversin is an academic researcher from Institute of Rural Management Anand. The author has contributed to research in topics: Basis (linear algebra) & Finite element method. The author has an hindex of 4, co-authored 11 publications receiving 55 citations.

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Simultaneous Empirical Interpolation and Reduced Basis method for non-linear problems

TL;DR: In this article, a Simultaneous EIM Reduced Basis Algorithm (SER) is proposed to solve non-affinely parametrized partial differential equations in which affine decomposition necessary for the reduced basis methodology are not obtained.

Advances in Feel++ : A Domain Specific Embedded Language in C++ for Partial Differential Equations

TL;DR: The Feel++ framework (Finite Element method Embedded Language in C++) is developed to the point where it allows to use a very wide range of Galerkin methods and advanced numerical methods such as domain decomposition methods including mortar and three fields methods, fictitious domain methods or certified reduced basis.
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A reduced basis framework: application to large scale non-linear multi-physics problems

TL;DR: This paper describes the mathematical framework in place and in particular the Empirical Interpolation Method (EIM) to recover an decomposition and proposes an implementation using the open-source library Feel++ which provides both the reduced basis and night element layers.
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Simultaneous Empirical Interpolation and Reduced Basis method for non-linear problems

TL;DR: This talk introduces a Simultaneous EIM Reduced basis algorithm (SER) based on the use of reduced basis approximations into the EIM building step and assesses its performances for large scale problems it is designed for.