Hi, I am using Gridap to find adjoint vectors in finite element space. Assume that I have a beam with applied displacement as boundary condition on a line. In this case I got discontinuities in values of adjoint vectors. however if I applied the displacement as a traction in weak form I get correct results from my adjoint calculations. Is there anyone who can help me in this problem.

``````function  stepDisp(fem_params,pth, uh_in,sh_in, vApp)
uApp1(x) = VectorValue(0.0,0.0)
uApp2(x) = VectorValue(0.0,0.0)
uApp3(x) = VectorValue(0.0,-vApp)
U_Disp = TrialFESpace(V0_Disp ,[uApp1 ,uApp2 ,uApp3])
A_Disp(u,v,pth,uh_in,sh_in) =  ((p->Em(p))∘pth) * (ε(v) ⊙ (σfun∘(ε(u), ε(uh_in), sh_in)))
a_Disp(u,v) =∫(A_Disp(u,v,pth,uh_in,sh_in))fem_params.dΩ
b_Disp(v) = 0.0
op_Disp = AffineFEOperator(a_Disp ,b_Disp ,U_Disp ,fem_params.V0_Disp)
uh_out = solve(op_Disp)
return  uh_out

end
``````

this is how I implemented the displacement as bc. it seems that this bc is not applied in my adjoint vector calculation which is w = A/Ou

@stevengj Based on our previous discussions I think you have the knowledge in this area and you might know the answer. I really appreciate your help.