jvx.numeric

## Class PnAreaVolEnergy

- java.lang.Object
- - jv.object.PsObject
  - - jvx.numeric.PnFunction
    - - jvx.numeric.PnEnergy
      - - jvx.numeric.PnDiriEnergy
        - - jvx.numeric.PnAreaVolEnergy

- All Implemented Interfaces:
    java.io.Serializable, java.lang.Cloneable, PsUpdateIf

      public class PnAreaVolEnergy
      extends PnDiriEnergy

  Dirichlet energy with volume term is used to minimize area under a volume constraint.
  See Also:
    Serialized Form

- - ### Field Summary

    - ### Fields inherited from class jv.object.PsObject

      `HAS_BOUNDARY_PANEL, HAS_CONFIG_PANEL, HAS_INFO_PANEL, HAS_LABEL_PANEL, HAS_MATERIAL_PANEL, HAS_TEXTURE_PANEL, HAS_VECTOR_PANEL, INSPECTOR_INFO, INSPECTOR_INFO_EXT, IS_DELETED, IS_FIXED, IS_FOCUSSED, IS_PICKED, IS_SELECTED, IS_USED, NUM_TAGS`

  - ### Constructor Summary

    Constructors
    Constructor and Description
    `PnAreaVolEnergy()`

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `double` | `eval(PdVector coord)` Compute Area energy of a coord vector using the stiffness matrix of a PnArea instance.
    `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.
    `void` | `init()` If instance has missing name then assign default name 'Object_NUMBER' where number is the total number of already created instances.
    `boolean` | `setSurface(PgElementSet domain, PgElementSet surface)` Set domain and surface, and initialize energy structure.
    `boolean` | `update(java.lang.Object event)` Update the class whenever a child has changed.

    - ### Methods inherited from class jvx.numeric.PnDiriEnergy

      `initSurface`

    - ### Methods inherited from class jvx.numeric.PnEnergy

      `computeNormalizedHessian, getConstrain, getNumOfVariables, getSpectrum, getZeroGradientAtBounds, isEnabledConstrainMatrix, isUseConstrainMatrix, setConstrain, setEnabledConstrainMatrix, setUseConstrainMatrix, setZeroGradientAtBounds, testEigenvalues`

    - ### Methods inherited from class jvx.numeric.PnFunction

      `enableEvaluation, isEvaluable`

    - ### Methods inherited from class jv.object.PsObject

      `addInspector, addUpdateListener, assureInspector, clearTag, clone, clone, clone, copy, getFather, getInfoPanel, getInspector, getName, getNumObjects, getSymbol, hasInspector, hasTag, hasUpdateListener, instanceOf, instanceOf, newInspector, newInspector, removeInspector, removeInspector, removeUpdateListener, setName, setParent, setSymbol, setTag, toString, updatePanels`

    - ### Methods inherited from class java.lang.Object

      `equals, getClass, hashCode, notify, notifyAll, wait, wait, wait`

- - ### Constructor Detail

    - #### PnAreaVolEnergy

          public PnAreaVolEnergy()

  - ### 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`

    - #### 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`
      Parameters:
        `domain` - additional geometry used to specify maps
        `surface` - geometry which is usually optimized

    - #### update

          public boolean update(java.lang.Object event)

      Update the class whenever a child has changed. Method is usually invoked from the children.
      Specified by:
        `update` in interface `PsUpdateIf`
      Overrides:
        `update` in class `PsObject`
      Parameters:
        `event` - carries a lot of information
      Returns:
        true if event has been handled, otherwise false
      See Also:
        `PsObject.setParent(PsUpdateIf)`, `PsObject.getFather()`, `PsObject.addUpdateListener(PsUpdateIf)`

    - #### eval

          public double eval(PdVector coord)

      Compute Area energy of a coord vector using the stiffness matrix of a PnArea instance. Method uses the array m_store of PnArea 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:
        `PnAreaEnergy`

    - #### evalGradient

          public PdVector evalGradient(PdVector coord,
                              PdVector gradient)

      Evaluate Area gradient of a coord vector using the stiffness matrix of a PnArea instance. Along boundary gradient is modified to fulfill any boundary constraints. Special feature for outside calls: If outside wants to evaluate the gradient without allocating gradient, then instead of gradient a `null` may be passed. In this case the gradient information is store in an internal variable which is returned as gradient. Handle with care and do not modify size returned gradient.

      If no special boundary constraints are set, then you may use `setZeroGradientAtBounds(boolean)` to set the gradient zero at the boundary (or free again).

      Overrides:
        `evalGradient` in class `PnEnergy`
      Parameters:
        `coord` - Coordinate vector with list of doubles
        `gradient` - Gradient vector to be modified, maybe `null`.
      See Also:
        `PnAreaEnergy`

    - #### 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 energy
      Returns:
        Hessian of energy

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