petsc-master 2015-01-31
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  • pseudo-timestepping Solves the time independent Bratu problem using pseudo-timestepping.
  • pseudo-timestepping
    Solves the time dependent Bratu problem using pseudo-timestepping
  • nonlinear problems Solves the time independent Bratu problem using pseudo-timestepping.
  • nonlinear problems
    Solves the time dependent Bratu problem using pseudo-timestepping
  • time-dependent nonlinear problems Solves the van der Pol equation.
    Input parameters include:
    -mu : stiffness parameter
  • time-dependent nonlinear problems Solves the van der Pol DAE.
    Input parameters include:
  • time-dependent nonlinear problems Solves a time-dependent nonlinear PDE. Uses implicit
    timestepping. Runtime options include:
    -M <xg>, where <xg> = number of grid points
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • time-dependent nonlinear problems Solves the van der Pol equation.
    Input parameters include:
  • time-dependent nonlinear problems Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit
    timestepping. Runtime options include:
    -M <xg>, where <xg> = number of grid points
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
    -ul : lower bound
    -uh : upper bound
  • time-dependent nonlinear problems
  • time-dependent linear problems Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • time-dependent linear problems Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • time-dependent linear problems Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • time-dependent linear problems Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • heat equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • heat equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • heat equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • heat equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • diffusion equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • diffusion equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • diffusion equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • diffusion equation Solves a simple time-dependent linear PDE (the heat equation).
    Input parameters include:
    -m <points>, where <points> = number of grid points
    -time_dependent_rhs : Treat the problem as having a time-dependent right-hand side
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
  • van der Pol equation Solves the van der Pol equation.
    Input parameters include:
    -mu : stiffness parameter
  • van der Pol DAE Solves the van der Pol DAE.
    Input parameters include:
  • van der Pol equation DAE equivalent Solves the van der Pol equation.
    Input parameters include:
  • Variational inequality nonlinear solver Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit
    timestepping. Runtime options include:
    -M <xg>, where <xg> = number of grid points
    -debug : Activate debugging printouts
    -nox : Deactivate x-window graphics
    -ul : lower bound
    -uh : upper bound
  • solving a system of nonlinear equations (parallel multicomponent example); Transient nonlinear driven cavity in 2d.

    The 2D driven cavity problem is solved in a velocity-vorticity formulation.
    The flow can be driven with the lid or with bouyancy or both:
    -lidvelocity <lid>, where <lid> = dimensionless velocity of lid
    -grashof <gr>, where <gr> = dimensionless temperature gradent
    -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
    -contours : draw contour plots of solution
  • multicomponent Transient nonlinear driven cavity in 2d.

    The 2D driven cavity problem is solved in a velocity-vorticity formulation.
    The flow can be driven with the lid or with bouyancy or both:
    -lidvelocity <lid>, where <lid> = dimensionless velocity of lid
    -grashof <gr>, where <gr> = dimensionless temperature gradent
    -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
    -contours : draw contour plots of solution
  • differential-algebraic equation Transient nonlinear driven cavity in 2d.

    The 2D driven cavity problem is solved in a velocity-vorticity formulation.
    The flow can be driven with the lid or with bouyancy or both:
    -lidvelocity <lid>, where <lid> = dimensionless velocity of lid
    -grashof <gr>, where <gr> = dimensionless temperature gradent
    -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio
    -contours : draw contour plots of solution
  • ex31.c Solves the ordinary differential equations (IVPs) using explicit and implicit time-integration methods.