mathcomp.assemble
Class LagrangeLinearAssembler

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

All Implemented Interfaces:

java.lang.Runnable, Algorithm, Reportable

Direct Known Subclasses:

AbstractCDA, LaplaceAssembler, MinimalSurfaceAssembler

public abstract class LagrangeLinearAssembler
extends Assembler

An Assembler class for piecewise linear lagrange basis-functions.

Author:

pht

Field Summary

Vector[]

gradVector Because the gradient of a linear basis function is constant, we can calculate this gradient for every element once in a pre-processing way.

Fields inherited from class mathcomp.assemble.Assembler

dirichletBoundaryValues, solScale

Constructor Summary

LagrangeLinearAssembler()

Method Summary

void	createDof(Grid grid, java.util.Set dof) All global Objects, that represent a degreeOfFreedom are added to dof.
void	createDofExport(Triangle t, java.lang.Object[] result)
double[]	evalApproxGradient(Node n, Triangle t, Vector x) For linear functions we add the gradients of the scaled basisfunction on real
double	evalApproxSolution(Node n, Triangle t, Vector x) Evaluates the FEM solution in a Node.
double	evalBasisFuncOnRef(Node u, int localBasisNumber) Returns the value of the linear basis function with the local number localBasisNumber at the Node u on the standart-triangle.
double	evalGradXBasisFuncOnRef(Node n, int localBasisNumber) Returns the value of the partial derivation of the basis function with the local number localBasisNumber by x at the Node u on the standart-triangle.
double	evalGradYBasisFuncOnRef(Node n, int localBasisNumber) Returns the value of the partial derivation of the basis function with the local number localBasisNumber by y at the Node u on the standart-triangle.

Methods inherited from class mathcomp.assemble.Assembler

addDirichletNodes, assembleGlobal, calcDirichletBoundary, createSurfaces, createSurfaces, evalExactGradient, evalExactSolution, evalF, getDof, getElementMatrix, getEpsilon, getErrorCalculator, getExactPartialX, getExactPartialY, getGrid, getInfoUrl, getM, getPreferredGridFileName, 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

Field Detail

gradVector

public Vector[] gradVector

Because the gradient of a linear basis function is constant, we can calculate this gradient for every element once in a pre-processing way.

Constructor Detail

LagrangeLinearAssembler

public LagrangeLinearAssembler()

Method Detail

createDof

public void createDof(Grid grid,
                      java.util.Set dof)

Description copied from class: Assembler

All global Objects, that represent a degreeOfFreedom are added to dof.

Specified by:

createDof in class Assembler

Parameters:

grid - the current grid

dof - the Set where the DOFs have to be put in

createDofExport

public void createDofExport(Triangle t,
                            java.lang.Object[] result)

evalBasisFuncOnRef

public double evalBasisFuncOnRef(Node u,
                                 int localBasisNumber)

Returns the value of the linear basis function with the local number localBasisNumber at the Node u on the standart-triangle.

evalGradXBasisFuncOnRef

public double evalGradXBasisFuncOnRef(Node n,
                                      int localBasisNumber)

Returns the value of the partial derivation of the basis function with the local number localBasisNumber by x at the Node u on the standart-triangle.

evalGradYBasisFuncOnRef

public double evalGradYBasisFuncOnRef(Node n,
                                      int localBasisNumber)

Returns the value of the partial derivation of the basis function with the local number localBasisNumber by y at the Node u on the standart-triangle.

evalApproxSolution

public double evalApproxSolution(Node n,
                                 Triangle t,
                                 Vector x)

Description copied from class: Assembler

Evaluates the FEM solution in a Node. To do that we do need the triangle. We need this method for an easy l2 and l\infty error calculation.

Specified by:

evalApproxSolution in class Assembler

Parameters:

n - Node where the solution has to be evaluated

t - the triangle that contains the Node n

x - the solution vector

Returns:

the value of the solution in n

evalApproxGradient

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

For linear functions we add the gradients of the scaled basisfunction on real

Overrides:

evalApproxGradient in class Assembler

Parameters:

n - node where the approximated gradient should be evaluated