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Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods

Abstract : This paper presents an overview of a unified framework for finite element and spectral element methods in 1D, 2D and 3D in \cpp called \Feel. The article is divided in two parts. The first part provides a digression through the design of the library as well as the main abstractions handled by it, namely, meshes, function spaces, operators, linear and bilinear forms and an embedded variational language. In every case, the closeness between the language developed in \Feel and the equivalent mathematical objects is highlighted. In the second part, examples using the mortar, Schwartz (non)overlapping, three fields and two ficticious domain-like methods (the Fat Boundary Method and the Penalty Method) are presented and numerically solved in the scope of the library.
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https://hal.archives-ouvertes.fr/hal-00662868
Contributor : Christophe Prud'Homme Connect in order to contact the contributor
Submitted on : Friday, January 27, 2012 - 2:57:21 PM
Last modification on : Tuesday, October 19, 2021 - 11:13:15 PM
Long-term archiving on: : Wednesday, December 14, 2016 - 1:42:47 AM

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Christophe Prud'Homme, Vincent Chabannes, Vincent Doyeux, Mourad Ismail, Abdoulaye Samake, et al.. Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods. ESAIM: Proceedings, EDP Sciences, 2012, 38, pp.429-455. ⟨10.1051/proc/201238024⟩. ⟨hal-00662868v3⟩

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