mathcomp.assemble.minimalsurface
Class MinimalSurfaceAssembler

java.lang.Object
  mathcomp.monitor.DefaultReportable
      mathcomp.monitor.DefaultAlgorithm
          mathcomp.assemble.Assembler
              mathcomp.assemble.LagrangeLinearAssembler
                  mathcomp.assemble.minimalsurface.MinimalSurfaceAssembler

All Implemented Interfaces:

java.lang.Runnable, Algorithm, Reportable

Direct Known Subclasses:

FixedPointAssembler, L2Interpolation, NewtonAssembler

public abstract class MinimalSurfaceAssembler
extends LagrangeLinearAssembler

This class is used to ensure that the problem of minimal surface that is being solved it's the same for the two iterative assemblers (NewtonAssembler and FixedPointAssembler) that extends this class. Is also used to define the initial value for the iterative process

Field Summary

Fields inherited from class mathcomp.assemble.LagrangeLinearAssembler

gradVector

Fields inherited from class mathcomp.assemble.Assembler

dirichletBoundaryValues, solScale

Constructor Summary

MinimalSurfaceAssembler()

Method Summary

double[]	evalApproxGradient(Triangle t, Vector x)
double[]	evalExactGradient(Node n) For H1 error calculations we need to know the exact gradient of a problem.
double	evalExactInitial(Node n) returns the initial value for the node n
double	evalExactSolution(Node n) For error calculations we need to know the exact solution of a problem.
double	evalF(Node n) Evaluates the right hand side function f on the Node n
java.lang.String	getPreferredGridFileName() Every Assembler has a preferred grid.

Methods inherited from class mathcomp.assemble.LagrangeLinearAssembler

createDof, createDofExport, evalApproxGradient, evalApproxSolution, evalBasisFuncOnRef, evalGradXBasisFuncOnRef, evalGradYBasisFuncOnRef

Methods inherited from class mathcomp.assemble.Assembler

addDirichletNodes, assembleGlobal, calcDirichletBoundary, createSurfaces, createSurfaces, getDof, getElementMatrix, getEpsilon, getErrorCalculator, getExactPartialX, getExactPartialY, getGrid, getInfoUrl, getM, getSolScale, getY, report, run, setEpsilon, setGrid, setM, setTauIndex, setY, toString

Methods inherited from class mathcomp.monitor.DefaultAlgorithm

algoAbortIfNeeded, algoCancel, algoClear, algoCount, algoIncrement, algoMax, isAlgoCancel, setAlgoCount, setAlgoMax

Methods inherited from class mathcomp.monitor.DefaultReportable

getReport, setReport

Methods inherited from class java.lang.Object

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

Methods inherited from interface mathcomp.monitor.Reportable

getReport, setReport

Constructor Detail

MinimalSurfaceAssembler

public MinimalSurfaceAssembler()

Method Detail

evalExactInitial

public double evalExactInitial(Node n)

returns the initial value for the node n

evalExactGradient

public double[] evalExactGradient(Node n)

Description copied from class: Assembler

For H1 error calculations we need to know the exact gradient of a problem. If we don't know that, return [0.0,0.0] for every node n. TODO this should become abstract.

Overrides:

evalExactGradient in class Assembler

Parameters:

n - node where the exact gradient should be evaluated

evalApproxGradient

public double[] evalApproxGradient(Triangle t,
                                   Vector x)

getPreferredGridFileName

public java.lang.String getPreferredGridFileName()

Description copied from class: Assembler

Every Assembler has a preferred grid. If this method is not implemented in the specific assembler class, "square.grid" is default.

Overrides:

getPreferredGridFileName in class Assembler

Returns:

the file name of the preferred grid as a String object.

evalExactSolution

public double evalExactSolution(Node n)

Description copied from class: Assembler

For error calculations we need to know the exact solution of a problem. If we don't know that, return 0.0 for every node n.

Overrides:

evalExactSolution in class Assembler

Parameters:

n - node where the exact solution should be evaluated

evalF

public double evalF(Node n)

Description copied from class: Assembler

Evaluates the right hand side function f on the Node n

Specified by:

evalF in class Assembler

Parameters:

n - the Node where f is evaluated

Returns:

the evaluation value