# 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.

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

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

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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.

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