Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
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Updated
Sep 12, 2026 - Julia
Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws
ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale
Adaptive computational fluid dynamics
A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.
Discontinuous Galerkin finite element method (DGFEM) for Acoustic Wave Propagation
Discontinuous Galerkin solver for compressible flows
GALÆXI: A high order discontinuous Galerkin framework for compressible flows on GPU systems
Nodal Discontinuous Galerkin Finite Element Methods (NDG-FEM) solvers for various hydraulic problems
Adaptive multiresolution discontinuous Galerkin C++ package
The main project for the MATLAB / GNU Octave code of FESTUNG
Numerical methods for edge and scrape-off layer blob and turbulence simulations. Homepage:
Extreme-scale Discontinuous Galerkin Environment (EDGE)
Codes for finite element method
BoSSS is a flexible framework for the development, evaluation & application of numerical discretization schemes based on the Discontinuous Galerkin method
High-order unstructured mesh representation and discrete function spaces
Finite Element Method for Electrochemical Transport (EchemFEM)
flux reconstruction method for advection-diffusion type physics
Spectral-element solver for Maxwell's equations, drift-diffusion equations, and more.
Discontinuous Galerkin FEM Runge-Kutta solver for hyperbolic systems of equations, in particular for shallow water equations.
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