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Lumped heat capacitance matrix and temperature oscillation.



When I was reading the Abaqus manual about transient analysis in thermal field, I found a sentence that says 'In transient analyses using first-order elements the heat capacity terms are lumped, which eliminates such oscillations....' (Transient analysis in Abaqus Analysis User's Guide 6.5.3). 

I think that this 'oscillations' is related to not only explicit time integration, but also implicit time integration (such as Backward Euler method).

The reason why I say that I tried!! Using lumped capacitance matrix method with Backward Euler time integration method, the same temperature solution with the Abaqus result is obtained.


I kindly ask something reference papers or theories related that phenomenon.

So, could you tell me that phenomenon or show me a related paper?

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