For a finite element mesh to be valid, which option is not true regarding the elements used?

The number of elements used is not exact

Elements can be of different orders

Elements can be of different types

The choice of elements and mesh is problem-independent

In the generation of element geometries, if dx dy represents an area element in the real element and d d represents the corresponding area element in the master element, then what is the expression for Jacobian je?

( frac{d epsilon}{dx} frac{d eta}{dy} )

( frac{dx}{d epsilon} frac{dy}{d eta} )

( frac{d epsilon}{dx} frac{d eta}{dy} )

( frac{1}{(dx dy) (d epsilon d eta)} )

In FEM, which option is not correct with respect to the generation of element geometries?

A point in actual element maps uniquely to master element

It involves coordinate transformation

It is based on a one-to-many mapping

A point in actual element maps uniquely to master element

Tiny interior angles are avoided

In mathematical modeling of a process, which option is not a characteristic of a numerical solution method?

It does not give exact information on the quantities of interest

A set of assumptions are made about the process

Applicable to simple problems only

In mathematical modeling of a process, which option is not a characteristic of an analytical solution?

Mathematical equations are used to describe a process

Most practical problems cannot be solved

Exact information on the quantities of interest is obtained

Explore topic-wise MCQs in Finite Element Method.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Finite Element Method knowledge and support exam preparation. Choose a topic below to get started.

1.	In FEM, which option is the most realistic representation of the actual force between deformable bodies?
A.	Point load
B.	Uniformly varying load
C.	Sine distribution
D.	Uniformly distributed load
Answer» D. Uniformly distributed load

Discussion

2.	In local mesh refinement, if very small elements are placed adjacent to very large ones, then the mesh becomes unacceptable.
A.	True
B.	False
Answer» B. False

Discussion

3.	A finite element mesh is refined by subdividing existing elements into two or more elements of the same type, what is the name of such a refinement?
A.	h-version mesh refinement
B.	p-version mesh refinement
C.	h, p-version mesh refinement
D.	p, h-version mesh refinement
Answer» B. p-version mesh refinement

Discussion

4.	For a finite element mesh to be valid, which option is not true regarding the elements used?
A.	The number of elements used is not exact
B.	Elements can be of different orders
C.	Elements can be of different types
D.	The choice of elements and mesh is problem-independent
Answer» E.

Discussion

5.	In the generation of element geometries, for what value of j^e, the element geometries lie within the limits of acceptable distortion?
A.	j<sup>e</sup>>0
B.	j<sup>e</sup><0
C.	j<sup>e</sup>=0
D.	Any real value of j<sup>e</sup>
Answer» B. j<sup>e</sup><0

Discussion

6.	In the generation of element geometries, if dx dy represents an area element in the real element and d d represents the corresponding area element in the master element, then what is the expression for Jacobian j^e?
A.	(dx dy) (d d )
B.	( frac{dx}{d epsilon} frac{dy}{d eta} )
C.	( frac{d epsilon}{dx} frac{d eta}{dy} )
D.	( frac{1}{(dx dy) (d epsilon d eta)} )
Answer» C. ( frac{d epsilon}{dx} frac{d eta}{dy} )

Discussion

7.	In FEM, which option is not correct with respect to the generation of element geometries?
A.	It involves coordinate transformation
B.	It is based on a one-to-many mapping
C.	A point in actual element maps uniquely to master element
D.	Tiny interior angles are avoided
Answer» C. A point in actual element maps uniquely to master element

Discussion

8.	In mathematical modeling of a process, which option is not a characteristic of a numerical solution method?
A.	It does not give exact information on the quantities of interest
B.	A set of assumptions are made about the process
C.	Applicable to simple problems only
D.	Finite element method is used
Answer» D. Finite element method is used

Discussion

9.	In mathematical modeling of a process, which option is not a characteristic of an analytical solution?
A.	Mathematical equations are used to describe a process
B.	Most practical problems cannot be solved
C.	Exact information on the quantities of interest is obtained
D.	Finite element method is used
Answer» E.

Discussion

Explore topic-wise MCQs in Finite Element Method.

In FEM, which option is the most realistic representation of the actual force between deformable bodies?

In local mesh refinement, if very small elements are placed adjacent to very large ones, then the mesh becomes unacceptable.

A finite element mesh is refined by subdividing existing elements into two or more elements of the same type, what is the name of such a refinement?

For a finite element mesh to be valid, which option is not true regarding the elements used?

In the generation of element geometries, for what value of je, the element geometries lie within the limits of acceptable distortion?

In the generation of element geometries, if dx dy represents an area element in the real element and d d represents the corresponding area element in the master element, then what is the expression for Jacobian je?

In FEM, which option is not correct with respect to the generation of element geometries?

In mathematical modeling of a process, which option is not a characteristic of a numerical solution method?

In mathematical modeling of a process, which option is not a characteristic of an analytical solution?

In the generation of element geometries, for what value of j^e, the element geometries lie within the limits of acceptable distortion?

In the generation of element geometries, if dx dy represents an area element in the real element and d d represents the corresponding area element in the master element, then what is the expression for Jacobian j^e?