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VoronoiFVM.jl

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and DiffResults.jl to evaluate user functions along with their jacobians and calculate derivatives of solutions with respect to their parameters.

JuliaCon 2024 Lightning Talk: abstract, video

Recent changes

Please look up the list of recent changes

Accompanying packages

ExtendableSparse.jl: convenient and efficient sparse matrix assembly
ExtendableGrids.jl: unstructured grid management library
SimplexGridFactory.jl: unified high level mesh generator interface
Triangulate.jl: Julia wrapper for the Triangle triangle mesh generator by J. Shewchuk
TetGen.jl: Julia wrapper for the TetGen tetrahedral mesh generator by H. Si.
GridVisualize.jl: grid and function visualization related to ExtendableGrids.jl
PlutoVista.jl: backend for GridVisualize.jl for use in Pluto notebooks.

VoronoiFVM.jl and most of these packages are part of the meta package PDELib.jl.

Some alternatives

ExtendableFEM.jl: finite element library implementing gradient robust FEM from the same package base by Ch. Merdon
SkeelBerzins.jl: a Julian variation on Matlab's pdepe API
Trixi.jl: numerical simulation framework for hyperbolic conservation laws
GridAP.jl Grid-based approximation of partial differential equations in Julia
Ferrite.jl Finite element toolbox for Julia
FinEtools.jl Finite element tools for Julia
FiniteVolumeMethod.jl Finite volumes with Donald boxes

Some projects and packages using VoronoiFVM.jl

Citation

If you use this package in your work, please cite it according to CITATION.cff.