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BoxLayoutData.H File Reference

#include "LayoutData.H"
#include "Interval.H"
#include "FArrayBox.H"
#include "DisjointBoxLayout.H"
#include "Copier.H"
#include "SPMD.H"
#include "memtrack.H"
#include "BoxLayoutDataI.H"

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Functions

Real norm (const BoxLayoutData< FArrayBox > &A, const Interval &interval, const int &p=2)


Function Documentation

Real norm const BoxLayoutData< FArrayBox > &  A,
const Interval interval,
const int &  p = 2
 

not actually L-p norms, since it doesn't take into account the dx of the system. A user can take that into account or not.

For p != 0, returns pth root of sum of pth powers over all points in all fabs and all components in the interval:

( sum [ |A[i][pt,var]|^p : FArrayBox A[i], point pt in A[i].box(), var in interval ] )^(1/p)

To turn into an L-p norm, one needs to multiply this by dx^(SpaceDim/p).

For p == 0, returns global max over all points in all fabs and all components in the interval:

max [ |A[i][pt,var]| : FArrayBox A[i], point pt in A[i].box(), var in interval ]

Some people don't like that this norm is not normalized based on number of points in A. Normalization is your problem.


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