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In FEM, which option is a negative aspect of the mixed formulation?

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in Finite Element Method by (110k points)
In FEM, which option is a negative aspect of the mixed formulation?

(a) Presence of zeros on matrix diagonals corresponding to pressure variable

(b) Involves a natural and direct formulation

(c) It is a velocity-pressure formulation

(d) It is similar to the Lagrange multiplier method

The question was posed to me in semester exam.

This is a very interesting question from Penalty topic in section Flows of Viscous Incompressible Fluids of Finite Element Method

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The correct option is (a) Presence of zeros on matrix diagonals corresponding to pressure variable

Easy explanation: A negative aspect of the mixed finite element model is the presence of zeroes on the matrix diagonals corresponding to the pressure variables. Direct equation-solving methods must use some type of pivoting strategy, while the use of iterative solvers is severely handicapped by poor convergence behavior.

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