I notice that in your finite-element notebook you use:

    T = zeros(Integer, 3, 2*N^2)


You really want to use Int in cases like this (Int = Int64 on 64-bit 
machines and Int32 on 32-bit machines).  Using Integer means that you have 
an array of pointers to generic integer containers, whose type must be 
checked at runtime (e.g. T[i] could be an Int32, Int64, BigInt, etc.).

(You also have very Matlab-like code that allocates zillions of little 
temporary arrays in your inner loops.  I assume this is intentional, but it 
is definitely suboptimal performance, possibly by an order of magnitude.)

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