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math.NA2024
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements
Enrico Zampa, Michael Dumbser
We present a novel asymptotic-preserving semi-implicit finite element method for weakly compressible and incompressible flows based on compatible finite element spaces. The momentu…
math.NA2024
H(curl)-based approximation of the Stokes problem with slip boundary conditions
Wietse M. Boon, Ralf Hiptmair, Wouter Tonnon +1
Reformulating the incompressible Stokes equations with the velocity sought in H(curl) has recently emerged as a promising approach for the design of helicity-preserving schemes in…