Question

In Finite Element Methods (FEM), In two-dimensional problems, we shall have two types of errors, one due to the approximation of the solution and the other due to approximation of the domain.

(a) True

(b) False

I had been asked this question in unit test.

The origin of the question is Boundary Value Problems topic in portion Single Variable Problems of Finite Element Method

Answer 1

The correct option is (a) True

To explain: In two-dimensional problems, the finite elements are simple geometric shapes that can be used to approximate a given domain as well as the solution over it. We not only approximate solution on a domain but also the domain itself by using a suitable mesh. As a result, we shall have two types of errors, one due to the approximation of the solution and the other due to approximation of the domain.