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07/28/2023
Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry
The aim of this article is to propose a new reduced-order modelling appr...
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06/22/2023
A penalty-free Shifted Boundary Method of arbitrary order
We introduce and analyze a penalty-free formulation of the Shifted Bound...
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03/21/2023
phi-FEM for the heat equation: optimal convergence on unfitted meshes in space
Thanks to a finite element method, we solve numerically parabolic partia...
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11/30/2022
Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods
Multiscale Finite Element Methods (MsFEMs) are now well-established fini...
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11/13/2022
Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
We present an immersed boundary method to simulate the creeping motion o...
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04/14/2022
Non-intrusive implementation of Multiscale Finite Element Methods: an illustrative example
Multiscale Finite Element Methods (MsFEM) are finite element type approa...
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10/11/2021
φ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer
One of the major issues in the computational mechanics is to take into a...
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02/08/2021
Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project
In the seminal paper of Bank and Weiser [Math. Comp., 44 (1985), pp.283-...
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03/26/2020
φ-FEM, a finite element method on domains defined by level-sets: the Neumann boundary case
We extend a fictitious domain-type finite element method, called ϕ-FEM a...
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06/18/2018