Penalty MCQ
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In FEM, which option is a negative aspect of the mixed formulation?
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For the functional IL(v,λ)≡Iv(v)+∫ΩcλG(v)dxdy, what is the necessary condition for IL to have a stationary value?
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In the Lagrange multiplier method, a constrained problem is reformulated as one of finding the stationary points of an unconstrained function, whereas in the penalty method, a problem with differential constraints is reformulated to one without constraints.
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In the finite element method, which option is not a natural and direct formulation of momentum and continuity equations?
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Which option is correct regarding constraints in the viscous flow problems governed by the continuity and momentum equation?
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Which option is not correct concerning the bilinear term B(v,w) in the variational problem of the viscous fluid flow equation?
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In the weak forms of the fluid flow model, since the weight functions are linearly dependent on each other, the sum of the three weak forms is the same as the three individual equations.
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In the following variational problem of finding velocity components and pressure, which bilinear form includes time-derivative terms? Bt(w,v)+Bv(w,v)-B̅p(w,P)=l(w); –Bp(w3, v)=0
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In finite element modeling, which formulation introduces constraints on variables and satisfies them in an approximate sense?
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In the penalty formulation of the fluid flow model, if the velocity field (vx, vy ) satisfies the continuity equation, then the weight functions (w1, w2) also satisfy the continuity equation.
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In the interest of the simple formulation of viscous flows, which case does not involve time derivative terms?
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Which type of problem can be obtained by reformulating a problem with differential constraints by using the penalty method?