example_03NL.cpp File Reference

Example building PDE Jacobian for a nonlinear reaction-diffusion equation using nodal (Hgrad) elements. Here we exercise Sacado's Fad types for an automated construction of PDE Jacobians through automatic differentiation. More...

#include "Intrepid_FunctionSpaceTools.hpp"
#include "Intrepid_FieldContainer.hpp"
#include "Intrepid_CellTools.hpp"
#include "Intrepid_ArrayTools.hpp"
#include "Intrepid_HGRAD_HEX_C1_FEM.hpp"
#include "Intrepid_RealSpaceTools.hpp"
#include "Intrepid_DefaultCubatureFactory.hpp"
#include "Intrepid_Utils.hpp"
#include "Epetra_Time.h"
#include "Epetra_Map.h"
#include "Epetra_FECrsMatrix.h"
#include "Epetra_FEVector.h"
#include "Epetra_SerialComm.h"
#include "Teuchos_oblackholestream.hpp"
#include "Teuchos_RCP.hpp"
#include "Teuchos_BLAS.hpp"
#include "Teuchos_Time.hpp"
#include "Shards_CellTopology.hpp"
#include "EpetraExt_RowMatrixOut.h"
#include "EpetraExt_MultiVectorOut.h"
#include "EpetraExt_MatrixMatrix.h"
#include "Sacado.hpp"
#include "Sacado_Fad_DVFad.hpp"
#include "Sacado_Fad_SimpleFad.hpp"
#include "Sacado_CacheFad_DFad.hpp"
#include "Sacado_CacheFad_SFad.hpp"
#include "Sacado_CacheFad_SLFad.hpp"

Go to the source code of this file.

Macros
#define	INTREPID_INTEGRATE_COMP_ENGINE   COMP_BLAS
#define	BATCH_SIZE   10

Typedefs
typedef Sacado::CacheFad::SFad < double, 8 >	FadType

Functions
void	dfunc_u (FieldContainer< double >, FieldContainer< double >)
template<class ScalarT >
void	func_u (FieldContainer< ScalarT >, FieldContainer< ScalarT >)
int	main (int argc, char *argv[])

Detailed Description

Example building PDE Jacobian for a nonlinear reaction-diffusion equation using nodal (Hgrad) elements. Here we exercise Sacado's Fad types for an automated construction of PDE Jacobians through automatic differentiation.

         div grad u + f (u) = 0 in Omega

Author

Created by P. Bochev, D. Ridzal, K. Peterson and J. Gohlke.

Remarks

Usage

 ./Intrepid_example_Drivers_Example_03.exe NX NY NZ verbose

    int NX              - num intervals in x direction (assumed box domain, 0,1)
    int NY              - num intervals in y direction (assumed box domain, 0,1)
    int NZ              - num intervals in z direction (assumed box domain, 0,1)
    verbose (optional)  - any character, indicates verbose output

Sample command line

./Intrepid_example_Drivers_Example_03NL.exe 10 10 10 

Definition in file example_03NL.cpp.