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math.NA2025
Analysis and numerical analysis of the Helmholtz-Korteweg equation
Patrick E. Farrell, Tim van Beeck, Umberto Zerbinati
We analyse the nematic Helmholtz-Korteweg equation, a variant of the classical Helmholtz equation that describes time-harmonic wave propagation in calamitic fluids in the presence…
math.NA2023
When rational functions meet virtual elements: The lightning Virtual Element Method
M. L. Trezzi, U. Zerbinati
We propose a lightning Virtual Element Method that eliminates the stabilisation term by actually computing the virtual component of the local VEM basis functions using a lightning…