I have derived the weak form of the transient heat conduction equation (for FEM) and I am having trouble trying to assemble the mass matrix(adsbygoogle = window.adsbygoogle || []).push({});

This is the PDE:

[itex]

\frac{\partial U}{\partial t} = \alpha \nabla^2U

[/itex]

This is the equation for the mass matrix for an element:

[itex]

M^e = \int \Psi \Psi^T dx

[/itex]

where psi is a matrix containing the shape functions of the element.

I am quite new to FEM so I am not sure how the mass matrix is supposed to be assembled, I understand that I have to use the gauss quadrature to complete the integral but I just can't figure how the matrix containing the shape functions is assembled (i.e. I don't know what numbers go where)

Any help would be greatly appreciated.

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# Assembling mass matrix for transient heat conduction pde

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