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View submission: Can someone please help me understand what MOOSE is?
Yes finite element model allows to solve problems which would be impossible to be resolved analytically. The most interesting example to me is elasticity/elastoplasticity, a complex solid (that deviates from a classic beam or plate) who is subject to a set of various forces, there is no direct equation that gives you the answer.
However provided some initial/limit conditions and a correct analysis of the situation (simulations can diverge or be wildly different), you can find the value of deformation or stress in each point of this solid (with a given limit)
There's nothing here!