ELEMENTS

What is ELEMENTS?

The C++ ELEMENTS library is a collection of sub-libraries to support implementing a diverse range of numerical methods on low and high-order meshes. The ELEMENTS library can be used for research and development of both continuous and discontinuous finite element methods, as well as, finite volume methods to solve a diverse range of partial differential equations. The ELEMENTS library includes the following sub-libraries: MATAR contains the routines to support dense and sparse matrices and arrays, SLAM contains the interfaces to solvers, linear algebra, and mathematical routines or external packages (e.g., Trilinos), elements contains the mathematical functions to support a large range of elements types including serendipity elements, SWAGE contains the routines and data-structures to support unstructured arbitrary-order 3D meshes that move or remain stationary, and geometry combines together SWAGE and elements. The ELEMENTS libary is designed to support Lagrangian (mesh moves) solid dynamics and mechanics codes, Eulerian (mesh is stationary) fluid dynamics codes, and many other code applications.

Fig. Code structure layout

Fig. A high-order 3D mesh deforming in the Taylor-Green vortex

Getting started

To learn more about ELEMENTS and how to get started using it, please see the ELEMENTS documentation.

How to cite

If you use the ELEMENTS library in your work, please cite the following in any pursuant research papers.

@article{MOORE2019100257,
  title = "{ELEMENTS: A high-order finite element library in C++}",
  journal = {SoftwareX},
  volume = {10},
  pages = {100257},
  year = {2019},
  issn = {2352-7110},
  doi = {https://doi.org/10.1016/j.softx.2019.100257},
  url = {https://www.sciencedirect.com/science/article/pii/S235271101930113X},
  author = {Jacob L. Moore and Nathaniel R. Morgan and Mark F. Horstemeyer},
  keywords = {Element Library, C++, High-order elements, Spectral elements, Serendipity elements}
}