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README.md

ngstSpaceKit

documentation examples

ngstSpaceKit is an addon 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

For demonstration purposes, there are some spaces implemented, which already have a native ngsolve implementation:

License

ngstSpaceKit is available under the LGPL-3.0 license.