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If only the first derivatives of ux and uy appear in the weak forms, then their interpolation must be at least bilinear.

If only the first derivatives of ux and uy appear in the weak forms, then their interpolation must be at least bilinear. Correct Answer True

An examination of the weak form, 0=∫Ωehe\(dxdy-∫Ωehew1fxdxdy-∮┌dhew1txds reveals that only first derivatives of ux and uy with respect to x and y appear respectively. Therefore, ux and uy must be approximated by the Lagrange family of interpolation functions, and at least a bilinear (i.e., linear both in x and y) interpolation is required.

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