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definition of p-norm for a field

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Old   January 15, 2013, 13:59
Default definition of p-norm for a field
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Dear foamers,

Can someone tell me the definition of maximum-norm, 1-norm and 2-norm for a vector field in CFD?

In my idea,
maximum-norm is the maximum deviation as max{|u-u0|}
1-norm is the average deviation as sum{|u-u0|}/n
2-norm is the root mean square deviation as {sum{|u-u0|^2}/n}^(1/2)
where u0 is the reference analytical solution, |x| is the magnitude of the vector x.


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