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20062025
most citedSMILEI: a collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation

580 citations

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8 papers · 1 filter

math.NA2024★ 3 cited

A short perspective on a posteriori error control and adaptive discretizations

Roland Becker, Stéphane P. A. Bordas, Franz Chouly +1

Error control by means of a posteriori error estimators or indica-tors and adaptive discretizations, such as adaptive mesh refinement, have emerged in the late seventies. Since the…

math.NA2024

Projection-based model order reduction for prestressed concrete with an application to the standard section of a nuclear containment building

Eki Agouzal, Jean-Philippe Argaud, Michel Bergmann +3

We propose a projection-based model order reduction procedure for the ageing of large prestressed concrete structures. Our work is motivated by applications in the nuclear industry…

math.NA2022★ 1 cited

Towards a multigrid method for the M1 model for radiative transfer

Hélène Bloch, Pascal Tremblin, Matthias González +1

We present a geometric multigrid solver for the M1 model of radiative transfer without source terms. In radiative hydrodynamics applications, the radiative transfer needs to be sol…

math.NA2021★ 11 cited

GP-MOOD: A positive-preserving high-order finite volume method for hyperbolic conservation laws

Rémi Bourgeois, Dongwook Lee

We present an a posteriori shock-capturing finite volume method algorithm called GP-MOOD that solves a compressible hyperbolic conservative system at high-order solution accuracy (…

math.NA2019

An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes

Christophe Chalons, Samuel Kokh, Maxime Stauffert

In this work, we focus on the numerical approximation of the shallow water equations in two space dimensions. Our aim is to propose a well-balanced, all-regime and positive scheme.…

math.NA2017★ 11 cited

Experimenting with the p4est library for AMR simulations of two-phase flows

Florence Drui, Alexandru Fikl, Pierre Kestener +4

Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high leve…