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https://github.com/wias-pdelib/extendablefembase.jl

Basic structures for finite elements based on ExtendableGrids infrastructure
https://github.com/wias-pdelib/extendablefembase.jl

finite-element-method julia

Last synced: 24 days ago
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Basic structures for finite elements based on ExtendableGrids infrastructure

Host: GitHub
URL: https://github.com/wias-pdelib/extendablefembase.jl
Owner: WIAS-PDELib
License: mit
Created: 2023-07-18T08:14:29.000Z (over 1 year ago)
Default Branch: master
Last Pushed: 2025-01-14T01:22:55.000Z (26 days ago)
Last Synced: 2025-01-14T02:29:50.578Z (26 days ago)
Topics: finite-element-method, julia
Language: Julia
Homepage:
Size: 46 MB
Stars: 11
Watchers: 3
Forks: 5
Open Issues: 1
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: LICENSE

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# ExtendableFEMBase

This package provides basic finite element structures to setup finite element schemes on ExtendableGrids. For a full high-level API

see [ExtendableFEM.jl](https://github.com/WIAS-PDELib/ExtendableFEM.jl).

This low level structures in the package incorporate:

- Finite element types (Basis functions on reference geometries and dof management for several H1, Hdiv and Hcurl elements)

- FESpace (Discrete finite element space with respect to a mesh from ExtendableGrids, knows the Dofmaps)

- FEMatrix (block overlay for an ExtendableSparse matrix, where each block corresponds to a coupling between two FESpaces in a system)

- FEVector (block overlay for an array, where each block corresponds to a FESpace)

- FunctionOperators (primitive linear operators like Identity, Gradient, Divergence) and rules how to evaluate them for for different finite element types

- FEEvaluator (finite element basis evaluators for different FunctionOperators and entities of the grid)

- QuadratureRule (basic quadrature rules for different ElementGeometries from ExtendableGrids)

- interpolations (standard interpolations into the provided finite element spaces, averaging routines and interpolations between meshes/FESpaces)

- reconstruction operators (special FunctionOperators that involve an interpolation into a different finite element type)