ngstSpaceKit is an addon to ngsolve, that provides several new spaces / finite elements.
Project description
ngstSpaceKit is an add-on to ngsolve and ngstrefftz, and provides a collection of finite element spaces. The goal of this project is to explore possibilities of the conforming Trefftz Method, and provide concrete example uses for it.
Implemented Spaces
ngstSpaceKit implements a series of well-known finite elements, that are not yet implemented in ngsolve:
On top of that, there are other exotic spaces defined:
- a weakly H1-conforming element, with the option to use the inner dofs with an embedded Trefftz formulation
- an H(div)-conforming element, with the option to use the inner dofs with an embedded Trefftz formulation
- a Stokes mixed element, where the velocity part is weakly H(div)-conforming, and the remaining dofs adhering to a Stokes embedded Trefftz formulation
- a P1 / Q1 Immersed Finite Element Space, which is suitable to solve interface problems on a domain with a cut. Refer to Lin et al. for a proper introduction of the Immersed Finite Element method.
For demonstration purposes, there are some spaces implemented, which already have a native ngsolve implementation:
Citing
ngstSpaceKit is published on Zenodo. You may cite it as
Meyer, J. C., & Lehrenfeld, C. (2025). ngstSpaceKit. Zenodo. https://doi.org/10.5281/zenodo.17281221
License
ngstSpaceKit is available under the LGPL-3.0 license.
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