Alexander B Prescott <[email protected]> writes:

>>      Are the problems of varying nonlinearity, that is will some converge
>> with say a couple of Newton iterations while others require more, say 8 or
>> more Newton steps?
>>
> The nonlinearity should be pretty similar, the problem setup is the same at
> every node but the global domain needs to be traversed in a specific order.


It sounds like you may have a Newton solver now for each individual problem?  
If so, could you make a histogram of number of iterations necessary to solve?  
Does it have a long tail or does every problem take 3 and 4 iterations (for 
example).

If there is no long tail, then you can batch.  If there is a long tail, you 
really want a solver that does one problem at a time, or a more dynamic system 
that checks which have completed and shrinks the active problem down.  (That 
complexity has a development and execution time cost.)

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