Practice Use in Finite Element Method (FEM) - 12.18 | 12. Dirac Delta Function | Mathematics (Civil Engineering -1)
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12.18 - Use in Finite Element Method (FEM)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Dirac delta function represent mathematically?

💡 Hint: Think about where it is non-zero.

Question 2

Easy

How does the Dirac delta function aid in achieving weak formulations in FEM?

💡 Hint: Focus on point evaluation.

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 integral of the Dirac delta function over its entire domain?

  • 0
  • 1
  • Infinity

💡 Hint: Think about what the function captures in its behavior.

Question 2

True or False: The Dirac delta function is a traditional continuous function.

  • True
  • False

💡 Hint: Recall the definition we discussed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Derive the weak form of a simple differential equation using the Dirac delta function as a point source.

💡 Hint: Review the definitions of weak formulations and point evaluations.

Question 2

Create a FEM model for a cantilever beam subjected to a point load at its free end using delta functions.

💡 Hint: Think about your boundary conditions and how the delta function influences load applications.

Challenge and get performance evaluation