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Order of ripley element

Asked by Zhi Li

Hi everyone,

I used Brick function in ripley to build domain for my problem. Supposed everything is correct, then what's the order of convergence of numerical solution?

Best Regards,
Zhi Li

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Lutz Gross
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Best Lutz Gross (l-gross) said : 		#1

ripley.Brick elements are of order one. Convergence order depends on the smoothness of the solution but in general assuming the solution is in H^2 you should get O(h) in the H^1 or O( h^2) in the L^2 norm (h = mesh size)

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Zhi Li (reachless) said : 		#2

Thanks Prof. Lutz Gross!

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Zhi Li (reachless) said : 		#3

Thanks Lutz Gross, that solved my question.