Summary of results
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After 0.7 s the error is clearly less than 1% for the various 2D (QUAD8) and 3D (HEXA8 - HEXA20 - PENTA6 - PENTA15 - TETRA4) thermal elements used.

It does not appear that lumpage improves the digital result.

It would be appropriate to test the lumped elements with a real jump as in B modeling.