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Figure 1: The numerical boundary solution for P obtained with N = 20(· · ·),N = 40(− − − ) and N = 80(− · − · −·) (a) constant and (b) discontinuouslinear boundary elements, and the analytical solution () with u and vspecified on the boundary.
Figure 2: The numerically obtained interior (a) pressure Pwith, and (b) fluidvelocity v, with N = 20(· · ·), N = 40(− − − ) and N = 80(− · − · −·)discontinuous linear boundary elements and the analytical solution () u and v specified on the boundary.
Figure 3: The L-curve plot of the solution norm ∥ xλ ∥ as a function ofthe residual norm ∥ Cxλ − d ∥ in the inverse Stokes problem for N = 40,λ = [10−13, 10−1], when various level of noise α = {5, 10, 20} are added.
Figure 4: The numerical boundary solution for (a) the fluid velocity vα|Γ0,and (b) the pressure P|Γ0 retrieved on the boundary Γ0 = Γ1, using N =40 discontinuous linear boundary elements when various levels of noise areintroduced in P|Γ∗=Γ2∪Γ3∪Γ4, namely, direct solution (), α = 0(• • •), = 5(− − − ), α = 10(− · − · −·), and α = 20(· · ·) for the inverse Stokesproblem.
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