Nonlinear finite elements/Quiz 0

Please answer the following questions. Answers such as "don't know", "knew once but have forgotten", and "never seen that before" are acceptable.

• Mark the topics on the following list that you have studied in the past (in class or on your own):

<quiz display=simple points="0/0!"> {  |coef="0"} +Linear algebra (Matrices, Vector algebra). {  |coef="0"} +Vector calculus. {  |coef="0"} +Tensor algebra and calculus. {  |coef="0"} +Partial Differential Equations. {  |coef="0"} +Variational calculus. {  |coef="0"} +Numerical analysis. {  |coef="0"} +Finite element analysis. {  |coef="0"} +Elasticity. {  |coef="0"} +Plasticity. {  |coef="0"} +Viscoelasticity. {  |coef="0"} +Continuum Mechanics. {  |coef="0"} +Heat Transfer. {  |coef="0"} +Fluid Dynamics. {  |coef="0"} +Electromagnetism. </quiz>

• What do the three terms in the following equation mean?

$𝐊𝐝=𝐟$

What is the physical meaning of the equation (think Newton's laws)?

• What physical process does the following equation model?

$\mathrm{\nabla }\bullet \mathit{\sigma }=0$

What do the symbols mean?

• What physical process is modeled by the following equation?

$\frac{\partial T}{\partial t}-\frac{1}{C_v\rho }\mathrm{\nabla }\bullet (\mathit{\kappa }\bullet \mathrm{\nabla }T)=Q$

What do the symbols mean?

• Have you ever encountered:

<quiz display=simple points="0/0!"> {  |coef="0"} +Lagrange multipliers. {  |coef="0"} +Euler-Lagrange equations. {  |coef="0"} +Weak and strong forms. {  |coef="0"} +Newton's method for finding roots. </quiz> Template:Subpage navbar