[petsc-users] Problem with fortran version of ex29 in ksp
Matthew Knepley
knepley at gmail.com
Tue Apr 24 17:06:43 CDT 2012
On Tue, Apr 24, 2012 at 4:57 PM, TAY wee-beng <zonexo at gmail.com> wrote:
> Hi,
>
> I still got the same error the moment this subroutine is called, after
> changing to :
>
> call
> MatNullSpaceCreate(PETSC_COMM_WORLD,PETSC_TRUE,PETSC_NULL_INTEGER,PETSC_NULL_OBJECT,nullspace,ierr)
>
Argument 3 should be 0.
Matt
> [0]PETSC ERROR: Null argument, when expecting valid pointer!
> [0]PETSC ERROR: Null Object: Parameter # 4!
> [0]PETSC ERROR:
> ----------------------------------------------------------------
> --------
> [0]PETSC ERROR: Petsc Development HG revision:
> fc934c1d84bc6ba8e2686702a8a99539d
> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
> [0]PETSC ERROR: See docs/index.html for manual pages.
> [0]PETSC ERROR:
> ----------------------------------------------------------------
> --------
> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
> USER-PC by
> User Tue Apr 24 22:54:50 2012
> [0]PETSC ERROR: Libraries linked from
> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
> /lib
> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
> --with-fc="win32fe ifor
> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
> --download-f-b
> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
> --with-debuggin
> g=1 --useThreads=0
> [0]PETSC ERROR:
> ----------------------------------------------------------------
> --------
> [0]PETSC ERROR: MatNullSpaceCreate() line 250 in
> src/mat/interface/C:\temp\PETSC
> -~1\src\mat\INTERF~1\matnull.c
>
> Yours sincerely,
>
> TAY wee-beng
>
>
> On 24/4/2012 10:37 PM, Matthew Knepley wrote:
>
> On Tue, Apr 24, 2012 at 4:32 PM, TAY wee-beng <zonexo at gmail.com> wrote:
>
>> Hi,
>>
>> I'm trying to rewrite ex29 (KSP^Laplacian, 2d) from c to fortran version.
>> The fortran version is based on the template of ex22f, which is in 3d.
>>
>> I have attached the code below. I have 2 problems.
>>
>> 1. When i3 = -3, in dirichlet BC, I got the same answer as ex29 in c
>> version.
>>
>> However, when I change i3 to -4, I got the following error:
>>
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Argument out of range!
>> [0]PETSC ERROR: New nonzero at (9,1) caused a malloc!
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: Petsc Development HG revision:
>> fc934c1d84bc6ba8e2686702a8a99539d
>> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>> [0]PETSC ERROR: See docs/index.html for manual pages.
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
>> USER-PC by
>> User Tue Apr 24 22:08:46 2012
>> [0]PETSC ERROR: Libraries linked from
>> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> /lib
>> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
>> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
>> --with-fc="win32fe ifor
>> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
>> --download-f-b
>> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> --with-debuggin
>> g=1 --useThreads=0
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: MatSetValues_SeqAIJ() line 331 in
>> src/mat/impls/aij/seq/C:\temp\
>> PETSC-~1\src\mat\impls\aij\seq\aij.c
>> [0]PETSC ERROR: MatSetValues() line 1148 in
>> src/mat/interface/C:\temp\PETSC-~1\s
>> rc\mat\INTERF~1\matrix.c
>> [0]PETSC ERROR: MatSetValuesLocal() line 2003 in
>> src/mat/interface/C:\temp\PETSC
>> -~1\src\mat\INTERF~1\matrix.c
>> [0]PETSC ERROR: MatSetValuesStencil() line 1379 in
>> src/mat/interface/C:\temp\PET
>> SC-~1\src\mat\INTERF~1\matrix.c
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Argument out of range!
>> [0]PETSC ERROR: New nonzero at (10,2) caused a malloc!
>>
>> ...
>>
>> What did I do wrong?
>>
>>
>> 2. When I wanted to use the neumann BC, following ex29, I added :
>>
>> In subroutine ComputeRHS
>>
>> call
>> MatNullSpaceCreate(PETSC_COMM_WORLD,PETSC_TRUE,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,nullspace,ierr)
>>
>> call MatNullSpaceRemove(nullspace,b,PETSC_NULL,ierr)
>>
>> call MatNullSpaceDestroy(nullspace,ierr)
>>
>> and in subroutine ComputeMatrix
>>
>> call
>> MatNullSpaceCreate(PETSC_COMM_WORLD,PETSC_TRUE,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,nullspace,ierr)
>>
>> call MatSetNullSpace(jac,nullspace,ierr)
>>
>> call MatNullSpaceDestroy(nullspace,ierr)
>>
>> When I compile, it says unresolved external symbol MatNullSpaceRemove.
>> Removing MatNullSpaceRemove, I can compile but running gives the error:
>>
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Corrupt argument:
>> see http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind!
>> [0]PETSC ERROR: Invalid Pointer to Object: Parameter # 4!
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: Petsc Development HG revision:
>> fc934c1d84bc6ba8e2686702a8a99539d
>> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>> [0]PETSC ERROR: See docs/index.html for manual pages.
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
>> USER-PC by
>> User Tue Apr 24 22:30:31 2012
>> [0]PETSC ERROR: Libraries linked from
>> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> /lib
>> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
>> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
>> --with-fc="win32fe ifor
>> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
>> --download-f-b
>> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> --with-debuggin
>> g=1 --useThreads=0
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: MatNullSpaceCreate() line 250 in
>> src/mat/interface/C:\temp\PETSC
>> -~1\src\mat\INTERF~1\matnull.c
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Invalid argument!
>> [0]PETSC ERROR: Wrong type of object: Parameter # 1!
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: Petsc Development HG revision:
>> fc934c1d84bc6ba8e2686702a8a99539d
>> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>> [0]PETSC ERROR: See docs/index.html for manual pages.
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
>> USER-PC by
>> User Tue Apr 24 22:30:31 2012
>> [0]PETSC ERROR: Libraries linked from
>> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> /lib
>> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
>> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
>> --with-fc="win32fe ifor
>> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
>> --download-f-b
>> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> --with-debuggin
>> g=1 --useThreads=0
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: MatNullSpaceDestroy() line 305 in
>> src/mat/interface/C:\temp\PETS
>> C-~1\src\mat\INTERF~1\matnull.c
>> [0]PETSC ERROR: ourdmfunction() line 30 in
>> src/dm/interface/ftn-custom/C:\temp\P
>> ETSC-~1\src\dm\INTERF~1\FTN-CU~1\zdmf.c
>> [0]PETSC ERROR: DMComputeFunction() line 1783 in
>> src/dm/interface/C:\temp\PETSC-
>> ~1\src\dm\INTERF~1\dm.c
>> [0]PETSC ERROR: KSPSetUp() line 218 in
>> src/ksp/ksp/interface/C:\temp\PETSC-~1\sr
>> c\ksp\ksp\INTERF~1\itfunc.c
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Corrupt argument:
>> see http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind!
>> [0]PETSC ERROR: Invalid Pointer to Object: Parameter # 4!
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: Petsc Development HG revision:
>> fc934c1d84bc6ba8e2686702a8a99539d
>> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>> [0]PETSC ERROR: See docs/index.html for manual pages.
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
>> USER-PC by
>> User Tue Apr 24 22:30:31 2012
>> [0]PETSC ERROR: Libraries linked from
>> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> /lib
>> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
>> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
>> --with-fc="win32fe ifor
>> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
>> --download-f-b
>> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> --with-debuggin
>> g=1 --useThreads=0
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: MatNullSpaceCreate() line 250 in
>> src/mat/interface/C:\temp\PETSC
>> -~1\src\mat\INTERF~1\matnull.c
>> [0]PETSC ERROR: --------------------- Error Message
>> ----------------------------
>> --------
>> [0]PETSC ERROR: Invalid argument!
>> [0]PETSC ERROR: Wrong type of object: Parameter # 1!
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: Petsc Development HG revision:
>> fc934c1d84bc6ba8e2686702a8a99539d
>> 50af122 HG Date: Mon Apr 23 11:39:32 2012 -0500
>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>> [0]PETSC ERROR: See docs/index.html for manual pages.
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: c:\obj_tmp\ex29f\Debug\ex29f.exe on a petsc-3.2 named
>> USER-PC by
>> User Tue Apr 24 22:30:31 2012
>> [0]PETSC ERROR: Libraries linked from
>> /cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> /lib
>> [0]PETSC ERROR: Configure run at Mon Apr 23 21:45:20 2012
>> [0]PETSC ERROR: Configure options --with-cc="win32fe cl"
>> --with-fc="win32fe ifor
>> t" --with-cxx="win32fe cl" --with-mpi-dir=/cygdrive/d/Lib/MPICH2/
>> --download-f-b
>> las-lapack=1 --prefix=/cygdrive/d/Lib/petsc-3.2-dev_win32_vs2008
>> --with-debuggin
>> g=1 --useThreads=0
>> [0]PETSC ERROR:
>> ----------------------------------------------------------------
>> --------
>> [0]PETSC ERROR: MatNullSpaceDestroy() line 305 in
>> src/mat/interface/C:\temp\PETS
>> C-~1\src\mat\INTERF~1\matnull.c
>> [0]PETSC ERROR: ourdmfunction() line 30 in
>> src/dm/interface/ftn-custom/C:\temp\P
>> ETSC-~1\src\dm\INTERF~1\FTN-CU~1\zdmf.c
>> [0]PETSC ERROR: DMComputeFunction() line 1783 in
>> src/dm/interface/C:\temp\PETSC-
>> ~1\src\dm\INTERF~1\dm.c
>> [0]PETSC ERROR: KSPSetUp() line 218 in
>> src/ksp/ksp/interface/C:\temp\PETSC-~1\sr
>> c\ksp\ksp\INTERF~1\itfunc.c
>> [0]PETSC ERROR: KSPSolve() line 402 in
>> src/ksp/ksp/interface/C:\temp\PETSC-~1\sr
>> c\ksp\ksp\INTERF~1\itfunc.c
>> Vector Object:Vec_0000000084000000_0 1 MPI processes
>> type: mpi
>> Process [0]
>>
>> What's wrong?
>>
>>
>> *program ex29f*
>>
>> implicit none
>>
>> ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
>> ! Include files
>> ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
>> !
>> ! petscsys.h - base PETSc routines petscvec.h - vectors
>> ! petscmat.h - matrices
>> ! petscksp.h - Krylov subspace methods petscpc.h -
>> preconditioners
>>
>> #include "finclude/petsc.h90"
>>
>> PetscErrorCode ierr
>>
>> DM da
>>
>> KSP ksp
>>
>> Vec x
>>
>> external ComputeRHS,ComputeMatrix
>>
>> PetscInt i1,i3
>>
>> call PetscInitialize(PETSC_NULL_CHARACTER,ierr)
>>
>> i3 = -4
>>
>> i1 = 1
>>
>> call KSPCreate(MPI_COMM_WORLD,ksp,ierr)
>>
>> call
>> DMDACreate2d(PETSC_COMM_WORLD,DMDA_BOUNDARY_NONE,DMDA_BOUNDARY_NONE,DMDA_STENCIL_STAR,i3,i3,PETSC_DECIDE,PETSC_DECIDE,i1,i1,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,da,ierr)
>> call DMSetFunction(da,ComputeRHS,ierr)
>> call DMSetJacobian(da,ComputeMatrix,ierr)
>> call KSPSetDM(ksp,da,ierr)
>>
>> call KSPSetFromOptions(ksp,ierr)
>> call KSPSetUp(ksp,ierr)
>> call KSPSolve(ksp,PETSC_NULL_OBJECT,PETSC_NULL_OBJECT,ierr)
>> call KSPGetSolution(ksp,x,ierr)
>> call VecView(x,PETSC_VIEWER_STDOUT_WORLD,ierr)
>> call KSPDestroy(ksp,ierr)
>> call DMDestroy(da,ierr)
>> call PetscFinalize(ierr)
>>
>> end program ex29f
>>
>> subroutine ComputeRHS(da,x,b,ierr)
>>
>> implicit none
>>
>> #include "finclude/petsc.h90"
>>
>> PetscErrorCode ierr
>> PetscInt i,j,mx,my,xm,ym,xs,ys
>> PetscScalar h,nu,rho
>> PetscScalar Hx,Hy
>> PetscScalar,pointer :: array(:,:)
>> Vec x,b
>> DM da
>> MatNullSpace nullspace !>neumann BC
>>
>> nu = 0.1
>>
>> call
>> DMDAGetInfo(da,PETSC_NULL_INTEGER,mx,my,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,ierr)
>>
>> Hx = 1.d0 / (mx-1)
>>
>> Hy = 1.d0 / (my-1)
>>
>> call
>> DMDAGetCorners(da,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)
>>
>> call DMDAVecGetArrayF90(da,b,array,ierr)
>>
>> do j = ys,ys+ym-1
>>
>> do i = xs,xs+xm-1
>>
>> array(i,j) = exp(-(i*Hx)*(i*Hx)/nu)*exp(-(j*Hy)*(j*Hy)/nu)*Hx*Hy
>>
>> end do
>>
>> end do
>>
>> call DMDAVecRestoreArrayF90(da,b,array,ierr)
>>
>> call VecAssemblyBegin(b,ierr)
>>
>> call VecAssemblyEnd(b,ierr)
>>
>> !call
>> MatNullSpaceCreate(PETSC_COMM_WORLD,PETSC_TRUE,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,nullspace,ierr)
>>
>
> 4th argument should be PETSC_NULL_OBJECT.
>
> Matt
>
>
>> !call MatNullSpaceRemove(nullspace,b,PETSC_NULL,ierr)
>>
>> !call MatNullSpaceDestroy(nullspace,ierr)
>>
>> end subroutine ComputeRHS
>>
>>
>> subroutine ComputeMatrix(da,x,JJ,jac,str,ierr)
>>
>> implicit none
>>
>> #include "finclude/petsc.h90"
>>
>> Mat jac,JJ
>>
>> PetscErrorCode ierr
>>
>> DM da
>>
>> PetscInt i,j,k,mx,my,xm
>>
>> PetscInt ym,xs,ys,i1,i5
>>
>> PetscScalar v(5),Hx,Hy,rho,centerRho
>>
>> PetscScalar HydHx
>>
>> PetscScalar HxdHy
>>
>> MatStencil row(4),col(4,5)
>>
>> Vec x
>>
>> MatStructure str
>>
>> MatNullSpace nullspace !>neumann BC
>>
>> rho = 1.0
>>
>> i1 = 1
>>
>> i5 = 5
>>
>> centerRho = rho
>>
>> call
>> DMDAGetInfo(da,PETSC_NULL_INTEGER,mx,my,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,ierr)
>>
>> Hx = 1.d0 / (mx-1)
>>
>> Hy = 1.d0 / (my-1)
>>
>> HxdHy = Hx/Hy
>>
>> HydHx = Hy/Hx
>>
>> call
>> DMDAGetCorners(da,xs,ys,PETSC_NULL_INTEGER,xm,ym,PETSC_NULL_INTEGER,ierr)
>>
>>
>> do j=ys,ys+ym-1
>>
>> do i=xs,xs+xm-1
>>
>> row(MatStencil_i) = i
>>
>> row(MatStencil_j) = j
>>
>> call ComputeRho(i,j,mx,my,centerRho,rho)
>>
>> if (i.eq.0 .or. j.eq.0 .or. i.eq.mx-1 .or. j.eq.my-1) then
>>
>> v(1) = 2.0*rho*(HxdHy + HydHx)
>>
>> call
>> MatSetValuesStencil(jac,i1,row,i1,row,v,INSERT_VALUES,ierr)
>>
>> else
>>
>> v(1) = -rho*HxdHy
>>
>> col(MatStencil_i,1) = i
>>
>> col(MatStencil_j,2) = j-1
>>
>
> Cut and paste error above.
>
> Matt
>
>
>> v(2) = -rho*HydHx
>>
>> col(MatStencil_i,2) = i-1
>>
>> col(MatStencil_j,2) = j
>>
>> v(3) = 2.0*rho*(HxdHy + HydHx)
>>
>> col(MatStencil_i,3) = i
>>
>> col(MatStencil_j,3) = j
>>
>> v(4) = -rho*HydHx
>>
>> col(MatStencil_i,4) = i+1
>>
>> col(MatStencil_j,4) = j
>>
>> v(5) = -rho*HxdHy
>>
>> col(MatStencil_i,5) = i
>>
>> col(MatStencil_j,5) = j+1
>>
>> call
>> MatSetValuesStencil(jac,i1,row,i5,col,v,INSERT_VALUES,ierr)
>>
>> end if
>>
>> end do
>>
>> end do
>>
>> call MatAssemblyBegin(jac,MAT_FINAL_ASSEMBLY,ierr)
>>
>> call MatAssemblyEnd(jac,MAT_FINAL_ASSEMBLY,ierr)
>>
>> !call
>> MatNullSpaceCreate(PETSC_COMM_WORLD,PETSC_TRUE,PETSC_NULL_INTEGER,PETSC_NULL_INTEGER,nullspace,ierr)
>>
>> !call MatSetNullSpace(jac,nullspace,ierr)
>>
>> !call MatNullSpaceDestroy(nullspace,ierr)
>>
>> end subroutine ComputeMatrix
>>
>> subroutine ComputeRho(i,j,mx,my,centerRho,rho)
>>
>> PetscInt i,j,mx,my
>>
>> PetscScalar rho,centerRho
>>
>> if ((i > mx/3.0) .and. (i < 2.0*mx/3.0) .and. (j > my/3.0) .and. (j <
>> 2.0*my/3.0)) then
>>
>> rho = centerRho
>>
>> else
>>
>> rho = 1.0
>>
>> end if
>>
>>
>> end subroutine ComputeRho
>>
>> --
>> Yours sincerely,
>>
>> TAY wee-beng
>>
>>
>
>
> --
> What most experimenters take for granted before they begin their
> experiments is infinitely more interesting than any results to which their
> experiments lead.
> -- Norbert Wiener
>
>
--
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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