Talk:Nonlinear finite elements/Weak form of heat equation

Shouldn't it be ${\displaystyle \rho C_{p}{\frac {\partial T}{\partial t}}}$ instead of ${\displaystyle \rho C_{v}{\frac {\partial T}{\partial t}}}$? (${\displaystyle C_{p}}$ is the heat capacity at constant pressure while ${\displaystyle C_{v}}$ is at constant volume. I assume the two dependent variables are pressure and temperature here, not volume and temperature. (The preceding unsigned comment was added by 80.12.88.217 (talkcontribs) 30 April 2013)
Hello, I'd strongly suggest using different notation for vectors (vector functions) and tensors. I assume kappa to be a tensor. Otherwise the first identity cannot be applied to eq. 29. Changing notation would make the example way more readable. Furthermore, Eq. 30 does not constitute a substitution but rather integration over ${\displaystyle V}$ in ${\displaystyle \Omega }$. Substitution takes place later, in Eq. 33. (The preceding unsigned comment was added by 77.176.41.77 (talkcontribs) 20 November 2015‎)