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Jun 2, 2021 at 6:17 vote accept rhermans
Mar 18, 2021 at 15:42 comment added user21 @rhermans, see update, same procedure. I think what you might have missed is the -Grad[U[X],{x}] == F[X]
Mar 18, 2021 at 15:41 history edited user21 CC BY-SA 4.0
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Mar 18, 2021 at 10:10 comment added rhermans Thanks @user21, I'm trying your answer now, but as a preliminary comment, you chose to work on a different example than mine, and don't mention explicitly which terms play the role of forces or potentials, which is the core of my question. I hate to move the goalpost, but it would be nice to have an answer that can be contrasted with an analytical solution, like eqn 4.39 in here
Mar 17, 2021 at 10:08 history edited user21 CC BY-SA 4.0
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Mar 17, 2021 at 9:53 history answered user21 CC BY-SA 4.0