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This paper presents an efficient coupling of the 3D Stokes flow interactingwith an effective perforated periodic heterogeneous anisotropic 2D plate. Theeffective model was obtained by the asymptotic analysis in earlier works andhere an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacialinterpolation the time-dependent problem was reduced to an algebraic system ofordinary differential equation in time. Different examples were given,demonstrating the influence of the structural plate parameters on the solution.

Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid