jvx.numeric
Class PnHodgeW

java.lang.Object
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  +--jv.object.PsObject
        |
        +--jvx.numeric.PnFunction
              |
              +--jvx.numeric.PnEnergy
                    |
                    +--jvx.numeric.PnDiriEnergy
                          |
                          +--jvx.numeric.PnHodgeW

All Implemented Interfaces:

java.lang.Cloneable, PsUpdateIf, java.io.Serializable

public class PnHodgeW

extends PnDiriEnergy

Energy to obtain principal function u.

Version:

05.09.00, 1.10 revised (ep) Boundary conditions on/off switch added.
05.09.00, 1.05 revised (ep) m_gradFi -> protected and added method getGradFi.
27.03.00, 1.01 revised (ep) Boundery restrictions.
24.11.99, 1.00 revised (kp)
24.11.99, 1.00 created (kp)

Author:

Konrad Polthier

See Also:

Serialized Form

Field Summary

protected PdVector	m_areas Areas of elements in domain.
protected PiVector	m_bndInd
protected PdVector[][]	m_JgradFi
protected PgVectorField	m_vf
protected boolean	m_zeroBounds Boundary condition 'zero gradients' on/off.

Fields inherited from class jvx.numeric.PnEnergy

m_bndList, m_bNormal, m_bTangential, m_dim, m_domain, m_index, m_invIndex, m_noiv, m_nop, m_stiffMatrix, m_store, m_surface

Fields inherited from class jvx.numeric.PnFunction

m_bEvaluable

Fields inherited from class jv.object.PsObject

HAS_CONFIG_PANEL, HAS_INFO_PANEL, HAS_MATERIAL_PANEL, INSPECTOR_INFO, INSPECTOR_INFO_EXT, IS_DELETED, IS_FIXED, IS_SELECTED, IS_USED, m_infoPanel, m_name, m_panelList, m_parent, m_tag, m_updateList, NUM_TAGS

Constructor Summary

PnHodgeW()

Method Summary

protected void	computeJGradients() Compute gradient of Lagrange basis functions of domain triangulation.
double	eval(PdVector coord) Compute energy of a coord vector using newly initialized stiffness matrix.
PdVector	evalGradient(PdVector coord, PdVector gradient) Evaluate Area gradient of a coord vector using the stiffness matrix of a PnArea instance.
PdMatrix	evalHessian(PdMatrix hessian) Compute full hessian of Diri energy of a coord vector using the stiffness matrix.
PdVector[][]	getJGradFi()
void	init() If instance has missing name then assign default name 'object_NUMBER' where number is the total number of already created instances.
void	initSurface(PgElementSet domain, PgElementSet surface) Method called from energyMinimizer.minimizeStep() to update the stiffness matrix after conjugate gradient method has returned.
boolean	setSurface(PgElementSet domain, PgElementSet surface) Set domain and surface, and initialize energy structure.
void	setVectorField(PgVectorField vf) Set vector field.
void	setZeroBounds(boolean flag) Switches boundary condition 'zero gradient' on or off.

Methods inherited from class jvx.numeric.PnEnergy

getNumOfVariables, getSpectrum, testEigenvalues

Methods inherited from class jvx.numeric.PnFunction

enableEvaluation, isEvaluable

Methods inherited from class jv.object.PsObject

addInspector, addUpdateListener, clearTag, clone, clone, clone, copy, getFather, getInfoPanel, getInspector, getName, getNumObjects, hasInspector, hasTag, hasUpdateListener, instanceOf, instanceOf, removeInspector, removeUpdateListener, setName, setParent, setTag, toString, update, updatePanels

Methods inherited from class java.lang.Object

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

Field Detail

m_vf

protected PgVectorField m_vf

m_JgradFi

protected PdVector[][] m_JgradFi

m_bndInd

protected PiVector m_bndInd

m_zeroBounds

protected boolean m_zeroBounds

Boundary condition 'zero gradients' on/off.

m_areas

protected PdVector m_areas

Areas of elements in domain. Computed in method computeJGradients.

Constructor Detail

PnHodgeW

public PnHodgeW()

Method Detail

init

public void init()

Description copied from class: PsObject

If instance has missing name then assign default name 'object_NUMBER' where number is the total number of already created instances.

Overrides:

init in class PnDiriEnergy

initSurface

public void initSurface(PgElementSet domain,
                        PgElementSet surface)

Method called from energyMinimizer.minimizeStep() to update the stiffness matrix after conjugate gradient method has returned. E.g. PnHodgeW should copy surface into domain if in iteration mode i.e. if dimension of domain and surface are equal.

Overrides:

initSurface in class PnDiriEnergy

setSurface

public boolean setSurface(PgElementSet domain,
                          PgElementSet surface)

Set domain and surface, and initialize energy structure. Method is called from outside whenever domain or surface has been updated.

Overrides:

setSurface in class PnDiriEnergy

setZeroBounds

public void setZeroBounds(boolean flag)

Switches boundary condition 'zero gradient' on or off. Default 'on'.

setVectorField

public void setVectorField(PgVectorField vf)

Set vector field. Method is called from outside whenever vector field has been updated.

computeJGradients

protected void computeJGradients()

Compute gradient of Lagrange basis functions of domain triangulation. For each element exists an array of three gradients, each gradient has dimension of vertices in domain triangulation. We have gradFi = 1/(2area)*Jc JgradFi = -1/(2area)*c

eval

public double eval(PdVector coord)

Compute energy of a coord vector using newly initialized stiffness matrix. Method uses the array m_store for intermediate storage and modifies its entries.

Overrides:

eval in class PnEnergy

Parameters:

coord - Coordinate vector with list of doubles

Returns:

double Energy of coordinate vector

See Also:

vgp.discrete.harmonic.PnEnergy

evalGradient

public PdVector evalGradient(PdVector coord,
                             PdVector gradient)

Evaluate Area gradient of a coord vector using the stiffness matrix of a PnArea instance.

Overrides:

evalGradient in class PnEnergy

Parameters:

coord - Coordinate vector with list of doubles

gradient - Gradient vector to be modified

See Also:

vgp.discrete.harmonic.PnEnergy

evalHessian

public PdMatrix evalHessian(PdMatrix hessian)

Compute full hessian of Diri energy of a coord vector using the stiffness matrix. If argument is null, then a new matrix of full size is created and returned. Size of argument is enlarged if necessary. Boundary and deleted vertices are not considered.

Overrides:

evalHessian in class PnDiriEnergy

Parameters:

hessian - Empty hessian of Dirichlet energy

coord - Coordinate vector with list of doubles

Returns:

Hessian of Dirichlet energy

See Also:

vgp.discrete.harmonic.PnDiriEnergy

getJGradFi

public PdVector[][] getJGradFi()