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)

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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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