New development in freefem++

By Frédéric Hecht. J. Num. Math., 2012

3,770 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/be427e53412a0526218d68e7d4fed8c5d21a576d

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Citations in the corpus

Firedrake (2015, background): “A prominent example of the former class is freefem++ [Hecht 2012], whereas UFL [Alnæs et al. [2014] and Sundance [Long et al. 2010] are examples of finite element domain-specific languages (DSLs) embedded in Python and C++, respectively.”
MFEM: a modular finite element methods library (2019, background): “ilities and their corresponding sections in the paper are outlined in the following text. MFEM is distinguished from other nite element packages, such as deal.II [6], FEniCS [2], DUNE [16], FreeFem++ [47], Hermes [83], libMesh [58], FETK [51], NGSolve [79], etc., by a unique combination of features,”
A multi-material topology optimization algorithm based on the topological derivative (2019, methodology): “ry value problem (4.1b)–(4.1e), we employed the ﬁnite element method using piecewise linear, globally continuous ansatz and test functions on a triangular mesh. The implementation is done in FreeFem++[18]extending a code that was kindly provided by Dr. Charles Dapogny [12]. In the course of the algo”
Shape optimization with a level set based mesh evolution method (2014, methodology): “e, and 200 iterations of the fixed mesh level set method are performed using FreeFem++ [46], [58] to produce the intermediate ‘optimal’ shape Ω̃.”
Coherent structures in a swirl injector at Re = 4800 by nonlinear simulations and linear global modes (2016, methodology): “Results from TriGlobal linear global mode analysis in Nek5000 with molecular viscosity are summarized in figures 18 (spectrum) and 19 (direct and adjoint eigenmodes), and can be compared to the ones obtained in FreeFem++ in the bulk of the manuscript.”
Stacking sequence and shape optimization of laminated composite plates via a level-set method (2016, methodology): “The finite element computations are performed with the Freefem++ software [24], [30].”
Viscoplastic modeling of granular column collapse with pressure-dependent rheology (2015, methodology): “Concerning the remeshing process, we used a variable metric/Delaunay automatic meshing algorithm (see [43]) such that the finest meshes are located in the zones of low pressure and high velocity (see the blue mesh in Fig.”
Shape optimization of a layer by layer mechanical constraint for additive manufacturing (2017, methodology): “2) are carried out in different softwares: we re-use a previous Scilab script [8] for the optimization algorithm, while we rely on FreeFem++ [16] for the mechanical analyses.”
Computational Aspects of Stochastic Collocation with Multifidelity Models (2014, methodology): “We solve this problem using P2 bubble finite elements using the finite element package FreeFem++ [10].”