Q.1
Which of these statements is true?
  • a) The Gauss-Gradient method is a special case of the least-square gradient method
  • b) The least-square gradient method is a special case of the Gauss-Gradient method
  • c) The least-square method is not connected with the Gauss-Gradient method
  • d) The least-square method is suitable only for the Cartesian grids
Q.2
What is the advantage of the least-square method over the other methods?
  • a) Computational ease
  • b) Accuracy
  • c) Flexibility
  • d) Stability
Q.3
What is the disadvantage of using the least-square method?
  • a) Inconsistent
  • b) Less convergence rate
  • c) Instability
  • d) Computational cost
Q.4
The weight used in the least-square method is a function of __________
  • a) twice the distance between the vertex and the centroid of the cells
  • b) square of the distance between the vertex and the centroid of the cells
  • c) inverse of the distance between the vertex and the centroid of the cells
  • d) the distance between the vertex and the centroid of the cells
Q.5
In the least-square method, the gradient is computed using ___________
  • a) trial and error method
  • b) optimization method
  • c) weighted average
  • d) predictor-corrector method
Q.6
The gradient is found in the least-square method by solving ____________
  • a) a system of n equations
  • b) a single equation
  • c) a system of n2 equations
  • d) a system of 2n equations
Q.7
The least-square method is exact when ____________
  • a) the system is two-dimensional
  • b) the system is linear
  • c) the system is two-dimensional
  • d) the system is quadratic
Q.8
While using the Cartesian grids, the coefficient matrix becomes ____________
  • a) a square matrix
  • b) an upper triangular matrix
  • c) a diagonal matrix
  • d) a lower triangular matrix
Q.9
The least-square method is ____________
  • a) at least first-order accurate
  • b) at least second-order accurate
  • c) first-order accurate
  • d) second-order accurate
Q.10
The diagonal elements of the coefficient matrix obtained by applying the least-square to Cartesian grids are ___________
  • a) the ratio of the grid sizes and the weights in the x, y, z-directions
  • b) the product of the grid sizes and the weights in the x, y, z-directions
  • c) the weights in the x, y, z-directions
  • d) the grid sizes in the x, y, z-directions
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