Intrepid
Defines | Typedefs | Functions
http://trilinos.sandia.gov/packages/docs/r10.12/packages/intrepid/example/Drivers/example_03AD.cpp File Reference

Example building stiffness matrix and right hand side for a Poisson 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.

Defines

#define INTREPID_INTEGRATE_COMP_ENGINE   COMP_BLAS
#define BATCH_SIZE   10

Typedefs

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

Functions

double evalu (double &x, double &y, double &z)
int evalGradu (double &x, double &y, double &z, double &gradu1, double &gradu2, double &gradu3)
double evalDivGradu (double &x, double &y, double &z)
int main (int argc, char *argv[])

Detailed Description

Example building stiffness matrix and right hand side for a Poisson 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 in Omega
                      u = 0 on Gamma 

     Discrete linear system for nodal coefficients(x):
        
                 Kx = b

            K - HGrad stiffness matrix
            b - right hand side vector 
                
    
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_03.exe 10 10 10 

Definition in file example_03AD.cpp.