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.

 { +Linear algebra (Matrices, Vector algebra). { +Vector calculus. { +Tensor algebra and calculus. { +Partial Differential Equations. { +Variational calculus. { +Numerical analysis. { +Finite element analysis. { +Elasticity. { +Plasticity. { +Viscoelasticity. { +Continuum Mechanics. { +Heat Transfer. { +Fluid Dynamics. { +Electromagnetism.
 * Mark the topics on the following list that you have studied in the past (in class or on your own):
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 * What do the three terms in the following equation mean?

\mathbf{K} \mathbf{d} = \mathbf{f} $$
 * What is the physical meaning of the equation (think Newton's laws)?


 * What physical process does the following equation model?

\boldsymbol{\nabla} \bullet \boldsymbol{\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} \boldsymbol{\nabla} \bullet (\boldsymbol{\kappa}\bullet\boldsymbol{\nabla} T) = Q       $$
 * What do the symbols mean?

 { +Lagrange multipliers. { +Euler-Lagrange equations. { +Weak and strong forms. { +Newton's method for finding roots.
 * Have you ever encountered:
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