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Lp norm with p rational number

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5 years 11 months ago - 5 years 11 months ago #527 by pschroe
Lp norm with p rational number was created by pschroe
Hey guys,

I have yet another question ;)
Say I want to measure an error not in the usual L^2 norm, but instead, e.g., in the L^(3/2) norm.

Attached you'll find a script with a Poisson example where my naive attempt of computing the L^(3/2) error does not work.

I would appreciate your help!

Best, Philipp
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Last edit: 5 years 11 months ago by pschroe.
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5 years 11 months ago #528 by schruste
Replied by schruste on topic Lp norm with p rational number
Hi Philipp,

I suggest you write your term as exp(1.5*log(ABS(...))) or ABS(...)*sqrt(ABS(...)).

Best, Christoph
The following user(s) said Thank You: pschroe
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5 years 11 months ago #529 by pschroe
Replied by pschroe on topic Lp norm with p rational number
Oh well, sometimes it is easier than it seems, thanks :)

Just for the record, the following works:
Code:
def POW(a,b): return exp(log(a)*b) L32err = POW(Integrate(POW(ABS(gfu-exact),3/2),mesh),2/3)

Best, Philipp
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