GalerkinToolkit is a high-performance finite element (FE) toolbox fully implemented in the Julia programming language. It provides modular building blocks to easily implement custom finite element codes to solve partial differential equations (PDEs) using a variety of numerical schemes.
GalerkinToolkit is a high-performance finite element (FE) toolbox fully implemented in the Julia programming language. It provides modular building blocks to easily implement custom finite element codes to solve partial differential equations (PDEs), using a variety of numerical schemes, and across diverse computing environments. GalerkinToolkit integrates seamlessly with the broader Julia ecosystem. It supports external solvers such as PartitionedSolvers.jl, PetscCall.jl, LinearSolve.jl, NonLinearSolve.jl, and DifferentialEquations.jl to handle the algebraic systems resulting from PDE discretizations. For visualization, the toolkit provides plotting recipes for Makie.jl and utilities for exporting results in VTK format using WriteVTK.jl.
GalerkinToolkit is definitively not the first FEM software project out there, but it has some unique features. This includes a unified API with high- and low-level abstractions, a deep integration with the Julia package ecosystem, a new form compiler, and a redesign of the core ideas behind Gridap.
Democratizing multi-physics simulations with high-productivity high-performance finite element software
This package provides distributed (a.k.a. partitioned) vectors and sparse matrices like the ones needed in distributed finite differences, finite volumes, or finite element computations.