Hybridizable discontinuous Galerkin methods for the coupled Stokes–Biot problem
نویسندگان
چکیده
We present and analyze a hybridizable discontinuous Galerkin (HDG) finite element method for the coupled Stokes–Biot problem. Of particular interest is that discrete velocities displacement are H(div)-conforming satisfy compressibility equations pointwise on elements. Furthermore, in incompressible limit, discretization strongly conservative. prove well-posedness of and, after combining HDG with backward Euler time stepping, priori error estimates demonstrate free volumetric locking. Numerical examples further optimal rates convergence L2-norm all unknowns locking-free.
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ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2023
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2023.05.024