GEIM-VT - Generalised Empirical Interpolation Method Vectorial Treatment

The Generalised Empirical Interpolation Method - Vectorial Treatment was presented in [14], a summary of the method can be found in [13]. In this repository, the algorithm is implemented in OpenFOAM.

There are 3 folders containing the version of the solver for scalar field:

• GEIM-VT_Offline (generation of the magic function and points)

• GEIM-VT_Online (online reconstruction of the field using synthetic data)

• TR-GEIM-VT (online reconstruction of the field using synthetic data polluted by noise, regularised version)

The last is a novel regularised approach proposed in [13] which adopts the Tikhonov regularisation to retrieve stability of the method.