NodeNorms.H File Reference

#include "LevelData.H"
#include "NodeFArrayBox.H"
#include "Vector.H"
#include "IntVectSet.H"
#include "NamespaceHeader.H"
#include "NamespaceFooter.H"

Include dependency graph for NodeNorms.H:

Go to the source code of this file.

Functions
Real	norm (const NodeFArrayBox &a_nfab, const Real a_dx, const Box &a_subbox, const int a_p, const int a_startComp=0, const int a_numComp=1)
	Computes L^p norm of a subbox of a NodeFArrayBox.
Real	maxnorm (const NodeFArrayBox &a_nfab, const Box &a_subbox, const int a_startComp=0, const int a_numComp=1)
	Computes max norm of a subbox of a NodeFArrayBox.
Real	norm (const BoxLayoutData< NodeFArrayBox > &a_layout, const Real a_dx, const int a_p, const Interval &a_interval, bool a_verbose=false)
	Computes L^p norm of a BoxLayoutData<NodeFArrayBox>.
Real	norm (const BoxLayoutData< NodeFArrayBox > &a_layout, const LevelData< NodeFArrayBox > &a_mask, const ProblemDomain &a_domain, const Real a_dx, const int a_p, const Interval &a_interval, bool a_verbose=false)
	Computes L^p norm of a BoxLayoutData<NodeFArrayBox>.
Real	maxnorm (const BoxLayoutData< NodeFArrayBox > &a_layout, const LevelData< NodeFArrayBox > &a_mask, const ProblemDomain &a_domain, const Interval &a_interval, bool a_verbose=false)
	Computes max norm of a BoxLayoutData<NodeFArrayBox>.
Real	maxnorm (const BoxLayoutData< NodeFArrayBox > &a_layout, const Interval &a_interval, bool a_verbose=false)
	Computes max norm of a BoxLayoutData<NodeFArrayBox>.
Real	norm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< ProblemDomain > &a_domain, const Vector< int > &a_nRefFine, const Real a_dxCrse, const Interval &a_comps, const int a_p, const int a_lBase, bool a_verbose=false)
	Computes norm of multilevel array, counting only valid nodes at each level.
Real	norm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< ProblemDomain > &a_domain, const Vector< LayoutData< Vector< Box > > * > &a_IVSVext, const Vector< LayoutData< Vector< Box > > * > &a_IVSVintFinerCoarsened, const Vector< DisjointBoxLayout > &a_layoutsFinerCoarsened, const Vector< int > &a_nRefFine, const Real a_dxCrse, const Interval &a_comps, const int a_p, const int a_lBase, bool a_verbose=false)
	Computes norm of multilevel array, counting only valid nodes at each level.
Real	norm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< ProblemDomain > &a_domain, const Vector< LayoutData< Vector< IntVectSet > > * > &a_IVSVext, const Vector< LayoutData< Vector< IntVectSet > > * > &a_IVSVintFinerCoarsened, const Vector< DisjointBoxLayout > &a_layoutsFinerCoarsened, const Vector< int > &a_nRefFine, const Real a_dxCrse, const Interval &a_comps, const int a_p, const int a_lBase, bool a_verbose=false)
	Computes norm of multilevel array, counting only valid nodes at each level.
Real	norm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< LevelData< NodeFArrayBox > * > &a_mask, const Vector< ProblemDomain > &a_vectPD, const Vector< int > &a_nRefFine, const Real a_dxCrse, const Interval &a_comps, const int a_p, const int a_lBase, bool a_verbose=false)
	Computes norm of multilevel array, counting only valid nodes at each level.
Real	norm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< Box > &a_domain, const Vector< int > &a_nRefFine, const Real a_dxCrse, const Interval &a_comps, const int a_p, const int a_lBase, bool a_verbose=false)
	Computes norm of multilevel array, counting only valid nodes at each level.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout *a_finerGridsPtr, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout *a_finerGridsPtr, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const LayoutData< Vector< IntVectSet > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< Box > > &a_IVSVext, const LayoutData< Vector< Box > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const LayoutData< Vector< IntVectSet > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< Box > > &a_IVSVext, const LayoutData< Vector< Box > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes, with no finer level.
Real	norm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const LayoutData< Vector< Box > > &a_IVSVext, const Real a_dx, const Interval &a_comps, const int a_p, bool a_verbose=false)
	Computes norm of single-level array, counting only valid nodes, with no finer level.
Real	maxnorm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< ProblemDomain > &a_domain, const Vector< int > &a_nRefFine, const Interval &a_comps, const int a_lBase, bool a_verbose=false)
	Computes max norm of multilevel array, counting only valid nodes at each level.
Real	maxnorm (const Vector< LevelData< NodeFArrayBox > * > &a_phi, const Vector< Box > &a_domain, const Vector< int > &a_nRefFine, const Interval &a_comps, const int a_lBase, bool a_verbose=false)
	Computes max norm of multilevel array, counting only valid nodes at each level.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout *a_finerGridsPtr, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout *a_finerGridsPtr, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const LayoutData< Vector< IntVectSet > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< Box > > &a_IVSVext, const LayoutData< Vector< Box > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const LayoutData< Vector< IntVectSet > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const DisjointBoxLayout &a_finerGridsCoarsened, const LayoutData< Vector< Box > > &a_IVSVext, const LayoutData< Vector< Box > > &a_IVSVintFinerCoarsened, const int a_nRefFine, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const ProblemDomain &a_domain, const LayoutData< Vector< IntVectSet > > &a_IVSVext, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes, with no finer level.
Real	maxnorm (const LevelData< NodeFArrayBox > &a_phi, const Box &a_domain, const LayoutData< Vector< Box > > &a_IVSVext, const Interval &a_comps, bool a_verbose=false)
	Computes max norm of single-level array, counting only valid nodes, with no finer level.

---

Function Documentation

Real norm	(	const NodeFArrayBox &	a_nfab,
		const Real	a_dx,
		const Box &	a_subbox,
		const int	a_p,
		const int	a_startComp = 0,
		const int	a_numComp = 1
	)

Computes L^p norm of a subbox of a NodeFArrayBox.

Computes L^p norm of the data in a subbox of a_nfab.

Parameters:

a_nfab	the data on which to take the norm
a_dx	mesh spacing at this level
a_subbox	CELL-centered subbox over which to take norm
a_p	norm to take, or 0 for max norm
a_startComp	starting component
a_numComp	number of components

Real maxnorm	(	const NodeFArrayBox &	a_nfab,
		const Box &	a_subbox,
		const int	a_startComp = 0,
		const int	a_numComp = 1
	)

Computes max norm of a subbox of a NodeFArrayBox.

Computes max norm of the data in a subbox of a_nfab.

Parameters:

a_nfab	the data on which to take the norm
a_subbox	CELL-centered subbox over which to take norm
a_startComp	starting component
a_numComp	number of components

Real norm	(	const BoxLayoutData< NodeFArrayBox > &	a_layout,
		const Real	a_dx,
		const int	a_p,
		const Interval &	a_interval,
		bool	a_verbose = false
	)

Computes L^p norm of a BoxLayoutData<NodeFArrayBox>.

Computes L^p norm of a_layout. Ignores ghost cells for LevelData.

This is an internal function that should NOT normally be called by the user.

Parameters:

a_layout	the data on which to take the norm
a_dx	mesh spacing at this level
a_p	norm to take, or 0 for max norm
a_interval	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const BoxLayoutData< NodeFArrayBox > &	a_layout,
		const LevelData< NodeFArrayBox > &	a_mask,
		const ProblemDomain &	a_domain,
		const Real	a_dx,
		const int	a_p,
		const Interval &	a_interval,
		bool	a_verbose = false
	)

Computes L^p norm of a BoxLayoutData<NodeFArrayBox>.

Computes L^p norm of a_layout. Ignores ghost cells for LevelData.

This function uses the masks.

Parameters:

a_layout	the data on which to take the norm
a_mask	mask for the data
a_domain	domain of this level
a_dx	mesh spacing at this level
a_p	norm to take, or 0 for max norm
a_interval	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const BoxLayoutData< NodeFArrayBox > &	a_layout,
		const LevelData< NodeFArrayBox > &	a_mask,
		const ProblemDomain &	a_domain,
		const Interval &	a_interval,
		bool	a_verbose = false
	)

Computes max norm of a BoxLayoutData<NodeFArrayBox>.

Computes max norm of a_layout. Ignores ghost cells for LevelData.

This function uses the masks.

Parameters:

a_layout	the data on which to take the norm
a_mask	mask for the data
a_domain	domain of the data
a_interval	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const BoxLayoutData< NodeFArrayBox > &	a_layout,
		const Interval &	a_interval,
		bool	a_verbose = false
	)

Computes max norm of a BoxLayoutData<NodeFArrayBox>.

Computes max norm of a_layout. Ignores ghost cells for LevelData.

This is an internal function that should NOT normally be called by the user.

Parameters:

a_layout	the data on which to take the norm
a_interval	components to use in computing norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< ProblemDomain > &	a_domain,
		const Vector< int > &	a_nRefFine,
		const Real	a_dxCrse,
		const Interval &	a_comps,
		const int	a_p,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes norm of multilevel array, counting only valid nodes at each level.

Computes norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_nRefFine	refinement ratios between successive levels
a_dxCrse	mesh spacing at base level a_lBase
a_comps	components to use in computing norm
a_p	norm to take, or 0 for max norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< ProblemDomain > &	a_domain,
		const Vector< LayoutData< Vector< Box > > * > &	a_IVSVext,
		const Vector< LayoutData< Vector< Box > > * > &	a_IVSVintFinerCoarsened,
		const Vector< DisjointBoxLayout > &	a_layoutsFinerCoarsened,
		const Vector< int > &	a_nRefFine,
		const Real	a_dxCrse,
		const Interval &	a_comps,
		const int	a_p,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes norm of multilevel array, counting only valid nodes at each level.

Computes norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

a_IVSVext and a_IVSVintFinerCoarsened can be found by: exteriorAndInteriorNodes(a_IVSVext, a_IVSVintFinerCoarsened, layouts, a_domain, a_nRefFine); where layouts is Vector<DisjointBoxLayout> on which the data in a_phi live.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes at all level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids at all levels except finest
a_layoutsFinerCoarsened	coarsened finer-level grids at all levels except finest
a_nRefFine	refinement ratios between successive levels
a_dxCrse	mesh spacing at base level a_lBase
a_comps	components to use in computing norm
a_p	norm to take, or 0 for max norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< ProblemDomain > &	a_domain,
		const Vector< LayoutData< Vector< IntVectSet > > * > &	a_IVSVext,
		const Vector< LayoutData< Vector< IntVectSet > > * > &	a_IVSVintFinerCoarsened,
		const Vector< DisjointBoxLayout > &	a_layoutsFinerCoarsened,
		const Vector< int > &	a_nRefFine,
		const Real	a_dxCrse,
		const Interval &	a_comps,
		const int	a_p,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes norm of multilevel array, counting only valid nodes at each level.

Computes norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

a_IVSVext and a_IVSVintFinerCoarsened can be found by: exteriorAndInteriorNodes(a_IVSVext, a_IVSVintFinerCoarsened, layouts, a_domain, a_nRefFine); where layouts is Vector<DisjointBoxLayout> on which the data in a_phi live.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes at all level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids at all levels except finest
a_layoutsFinerCoarsened	coarsened finer-level grids at all levels except finest
a_nRefFine	refinement ratios between successive levels
a_dxCrse	mesh spacing at base level a_lBase
a_comps	components to use in computing norm
a_p	norm to take, or 0 for max norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< LevelData< NodeFArrayBox > * > &	a_mask,
		const Vector< ProblemDomain > &	a_vectPD,
		const Vector< int > &	a_nRefFine,
		const Real	a_dxCrse,
		const Interval &	a_comps,
		const int	a_p,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes norm of multilevel array, counting only valid nodes at each level.

Computes norm of multilevel array a_phi. Only the valid nodes at each level are counted, with the mask vector. The valid nodes at a level are those that are not covered by the interior of any finer level.

Parameters:

a_phi	multilevel data on which to take the norm
a_mask	mask at each level
a_vectPD	domain at each level
a_nRefFine	refinement ratios between successive levels
a_dxCrse	mesh spacing at base level a_lBase
a_comps	components to use in computing norm
a_p	norm to take, or 0 for max norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< Box > &	a_domain,
		const Vector< int > &	a_nRefFine,
		const Real	a_dxCrse,
		const Interval &	a_comps,
		const int	a_p,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes norm of multilevel array, counting only valid nodes at each level.

Computes norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_nRefFine	refinement ratios between successive levels
a_dxCrse	mesh spacing at base level a_lBase
a_comps	components to use in computing norm
a_p	norm to take, or 0 for max norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout *	a_finerGridsPtr,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

This function computes exterior boundary nodes, and interior boundary nodes of the coarsened finer level, if any. It is more efficient to precompute these boundary-node objects and call one of the other norm functions below.

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsPtr	pointer to CELL-centered grids on the next finer level, or NULL if there is none.
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout *	a_finerGridsPtr,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

This function computes exterior boundary nodes, and interior boundary nodes of the coarsened finer level, if any. It is more efficient to precompute these boundary-node objects and call one of the other norm functions below.

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsPtr	pointer to CELL-centered grids on the next finer level, or NULL if there is none.
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the call:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const LayoutData< Vector< Box > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the call:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the call:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const LayoutData< Vector< Box > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes.

Computes norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the call:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes, with no finer level.

Computes norm of single-level array a_phi, where there is no finer level. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes of this level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real norm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const Real	a_dx,
		const Interval &	a_comps,
		const int	a_p,
		bool	a_verbose = false
	)

Computes norm of single-level array, counting only valid nodes, with no finer level.

Computes norm of single-level array a_phi, where there is no finer level. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes of this level
a_dx	mesh spacing at this level
a_comps	interval of components to use
a_p	norm to take, or 0 for max norm
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< ProblemDomain > &	a_domain,
		const Vector< int > &	a_nRefFine,
		const Interval &	a_comps,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes max norm of multilevel array, counting only valid nodes at each level.

Computes max norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_nRefFine	refinement ratios between successive levels
a_comps	components to use in computing norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const Vector< LevelData< NodeFArrayBox > * > &	a_phi,
		const Vector< Box > &	a_domain,
		const Vector< int > &	a_nRefFine,
		const Interval &	a_comps,
		const int	a_lBase,
		bool	a_verbose = false
	)

Computes max norm of multilevel array, counting only valid nodes at each level.

Computes max norm of multilevel array a_phi. Only the valid nodes at each level are counted. The valid nodes at a level are those that are not covered by the interior of any finer level.

Parameters:

a_phi	multilevel data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_nRefFine	refinement ratios between successive levels
a_comps	components to use in computing norm
a_lBase	index of base level to use in Vectors
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout *	a_finerGridsPtr,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

This function computes exterior boundary nodes, and interior boundary nodes of the coarsened finer level, if any. It is more efficient to precompute these boundary-node objects and call one of the other maxnorm functions below.

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsPtr	pointer to CELL-centered grids on the next finer level, or NULL if there is none.
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout *	a_finerGridsPtr,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

This function computes exterior boundary nodes, and interior boundary nodes of the coarsened finer level, if any. It is more efficient to precompute these boundary-node objects and call one of the other maxnorm functions below.

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsPtr	pointer to CELL-centered grids on the next finer level, or NULL if there is none.
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the calls:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const LayoutData< Vector< Box > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the calls:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the calls:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const DisjointBoxLayout &	a_finerGridsCoarsened,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const LayoutData< Vector< Box > > &	a_IVSVintFinerCoarsened,
		const int	a_nRefFine,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes.

Computes max norm of single-level array a_phi. Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level that are not projections of interior nodes of the finer level, if any.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

The a_IVSVintFinerCoarsened argument is obtained from the calls:
interiorBoundaryNodes(a_IVSVintFinerCoarsened, a_phi.getBoxes(), a_finerGridsCoarsened, a_domain);

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_finerGridsCoarsened	CELL-centered grids on the next finer level
a_IVSVext	exterior boundary nodes of this level
a_IVSVintFinerCoarsened	interior boundary nodes of coarsened finer-level grids
a_nRefFine	refinement ratio to next finer level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const ProblemDomain &	a_domain,
		const LayoutData< Vector< IntVectSet > > &	a_IVSVext,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes, with no finer level.

Computes max norm of single-level array a_phi, where there is no finer level.

Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes of this level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box

Real maxnorm	(	const LevelData< NodeFArrayBox > &	a_phi,
		const Box &	a_domain,
		const LayoutData< Vector< Box > > &	a_IVSVext,
		const Interval &	a_comps,
		bool	a_verbose = false
	)

Computes max norm of single-level array, counting only valid nodes, with no finer level.

Computes max norm of single-level array a_phi, where there is no finer level.

Only the valid nodes at this level are counted. The valid nodes are the interior nodes of this level.

The a_IVSVext argument is obtained from the calls:
interiorBoundaryNodes(IVSVint, a_phi.getBoxes(), a_domain);
exteriorBoundaryNodes(a_IVSVext, IVSVint, a_phi.getBoxes();

Parameters:

a_phi	the data on which to take the norm
a_domain	CELL-centered physical domain on each level
a_IVSVext	exterior boundary nodes of this level
a_comps	interval of components to use
a_verbose	verbosity, whether to print norms of each box