# In FEM, if two independent variables are components of the same vector, then they can be approximated by two different types of interpolations.

+1 vote
In FEM, if two independent variables are components of the same vector, then they can be approximated by two different types of interpolations.

(a) True

(b) False

I have been asked this question in homework.

I need to ask this question from Plane Elasticity topic in chapter Plane Elasticity of Finite Element Method

## 1 Answer

+1 vote
by (185k points)
selected by

Best answer
Correct option is (b) False

Easiest explanation: ux and uy are the primary variables in the expanded weak forms of the plane elasticity problems. Although ux and uy are independent of each other, they are the components of the displacement vector. Therefore, both components should be approximated using the same type and degree of interpolation.

+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+1 vote
1 answer
+1 vote
1 answer
+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+1 vote
1 answer
+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+2 votes
1 answer
+1 vote
1 answer
+2 votes
1 answer
+2 votes
1 answer
+1 vote
1 answer
+1 vote
1 answer