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While using a Finite Element Method, one has to approximate ____________

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While using a Finite Element Method, one has to approximate ____________

(a) boundary conditions

(b) integrals at grid faces

(c) derivatives at grid points

(d) shape functions and weighting functions

This question was posed to me in unit test.

The question is from Numerical Methods topic in chapter Numerical Methods of Computational Fluid Dynamics

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The correct option is (d) shape functions and weighting functions

Explanation: While using the Finite Element Method for solving a problem, shape functions and weighting functions are approximated. Integrals at grid faces are approximated for Finite Volume Methods. Derivatives at grid points are approximated for Finite Difference Methods.

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