5. Partial Differential Equations

Finite Element — Quiz

Test your understanding of finite element with 5 practice questions.

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Practice Questions

Question 1

Which operation defines the weak formulation of the Poisson equation $-\Delta u=f$ on a domain $\Omega$?

Question 2

In the Galerkin finite element method, the test functions are chosen as:

Question 3

What is the standard form of the piecewise linear (hat) basis function $\phi_j$ on a uniform 1D mesh node $x_j$?

Question 4

How is the global stiffness matrix entry $K_{ij}$ assembled in finite element analysis?

Question 5

For a 1D finite element on an interval of length $h$, the local stiffness matrix for $\int_{0}^{h}u'v'\,dx$ is:
Finite Element Quiz — Computational Science | A-Warded