jabble
Class MultigridOperation

java.lang.Object
  jabble.MultigridOperation

Direct Known Subclasses:

Injection

public abstract class MultigridOperation
extends java.lang.Object

An operation performed on two grids of different sizes, typically used in Multigrid and Mesh Refinment algotyhms. This class provides also implementation for typical relaxation and prolongation operations, such as linear and cubic interpolation, and half and full weighting.

Field Summary

static MultigridOperation	CUBIC_INTERPOLATION Cubic interpolation operations for 1D/2D/3D grids (cubic for 1D, bicubic for 2D and tricubic for 3D, currently not implemented).
static MultigridOperation	FULL_WEIGHTING Full weighting operation for 1D/2D/3D grids.
static MultigridOperation	HALF_WEIGHTING Half weighting operation for 1D/2D/3D grids.
static Injection	INJECTION Injection operation for 1D/2D/3D grids.
static MultigridOperation	LINEAR_INTERPOLATION Linear interpolation operations for 1D/2D/3D grids (linear for 1D, bilinear for 2D and trilinear for 3D, currently not implemented).

Constructor Summary

protected

MultigridOperation() Creates a new instance of MultigridOperation

Method Summary

void	calculate(Field[] coarseFields, Field[] fineFields) Calculates the multigrid operations on the given set of fields (paired in the array order).
protected abstract void	calculate(Point finePoint, Point coarsePoint, Field fineField, Field coarseField) Calculates the operation at the given point for the given field.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

CUBIC_INTERPOLATION

public static final MultigridOperation CUBIC_INTERPOLATION

Cubic interpolation operations for 1D/2D/3D grids (cubic for 1D, bicubic for 2D and tricubic for 3D, currently not implemented).

LINEAR_INTERPOLATION

public static final MultigridOperation LINEAR_INTERPOLATION

Linear interpolation operations for 1D/2D/3D grids (linear for 1D, bilinear for 2D and trilinear for 3D, currently not implemented).

FULL_WEIGHTING

public static final MultigridOperation FULL_WEIGHTING

Full weighting operation for 1D/2D/3D grids.

HALF_WEIGHTING

public static final MultigridOperation HALF_WEIGHTING

Half weighting operation for 1D/2D/3D grids.

INJECTION

public static final Injection INJECTION

Injection operation for 1D/2D/3D grids.

Constructor Detail

MultigridOperation

protected MultigridOperation()

Creates a new instance of MultigridOperation

Method Detail

calculate

public void calculate(Field[] coarseFields,
                      Field[] fineFields)

Calculates the multigrid operations on the given set of fields (paired in the array order).

Parameters:

coarseFields - a list of fields on the coarse grid

fineFields - a list of fields on the fine grid

calculate

protected abstract void calculate(Point finePoint,
                                  Point coarsePoint,
                                  Field fineField,
                                  Field coarseField)

Calculates the operation at the given point for the given field. Typically, one has only to implement this method to implement an operator. The two points given correspond to the same point in space, and will use them to read/write the values on the respective fields.

Parameters:

finePoint - the point on the fine grid

coarsePoint - the point on the coarse grid

fineField - the field on the fine grid

coarseField - the field on the coarse grid