Practice Basic Concept of Finite Element Methods - 5.3.1 | 5. Numerical Solutions of Partial Differential Equations | Numerical Techniques
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of discretization in FEM?

πŸ’‘ Hint: Think of how a large puzzle is made easier by dividing it into pieces.

Question 2

Easy

What are shape functions used for in FEM?

πŸ’‘ Hint: They help interpolate values based on nodal information.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary purpose of the Finite Element Method?

  • To solve PDEs
  • To visualize data
  • To analyze structure
  • To perform integration

πŸ’‘ Hint: Consider what this method is mainly used for in engineering and physics.

Question 2

True or False: The mesh in FEM is a collection of elements used to discretize the domain.

  • True
  • False

πŸ’‘ Hint: Think about how you would define a 'mesh' in terms of its components.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a 2D domain with irregular shapes, describe the steps you would take to create a mesh and choose appropriate shape functions.

πŸ’‘ Hint: Think about how the geometry informs your choices.

Question 2

Explain how changing the degree of polynomial in shape functions might affect the results from a Finite Element problem.

πŸ’‘ Hint: Remember the trade-off between complexity and accuracy.

Challenge and get performance evaluation