second order matrix Tijk

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Seong-Yeol Kim
Posts: 16
Joined: 30 Oct 2017, 09:48

second order matrix Tijk

Post by Seong-Yeol Kim » 16 May 2018, 13:21

Hello,

I am wondering about the T-element of the second order matrix. As in the .mpr file,
there are T matrix components suh as T111, T121, T122 ... According to what I understood,
in the matrix output file (.mpr), T11 stands for T111, and i=1, j=1, k = 1 to j.
I guess the reason why there is no component like T112, T113 is due to the j=1 to k (I am wondering it is right in elegant).
However, in the matrix output, I am wondering how to check another components like T116, T126, and so on.

Thank you!

Seongyeol

michael_borland
Posts: 1927
Joined: 19 May 2008, 09:33
Location: Argonne National Laboratory
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Re: second order matrix Tijk

Post by michael_borland » 22 May 2018, 13:05

Seongyeol,

The matrix has symmetry in the last two indices, e.g., T126=T162. To save space in the output files, only Tijk with j>=k is provided. Also, to save computation and memory, elegant only keeps the unique part of the matrix. The values of Tijk with j>k are therefore multiplied by two compared to the symmetric case where both j>k and j<k terms are summed.

--Michael

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