Anisotropic H_div-norm error estimates for rectangular H_div-elements

03/12/2021
by   Sebastian Franz, et al.
0

For the discretisation of H_div-functions on rectangular meshes there are at least three families of elements, namely Raviart-Thomas-, Brezzi-Douglas-Marini- and Arnold-Boffi-Falk-elements. In order to prove convergence of a numerical method using them, sharp interpolation error estimates are important. We provide them here in an anisotropic setting for the H_div-norm.

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