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A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem (2308.15621v1)
Published 29 Aug 2023 in math.NA and cs.NA
Abstract: In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and prove a priori error estimates. A numerical example confirms our analysis.