petsc-3.7.6 2017-04-24
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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 Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter
• time-dependent nonlinear problems Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter
• time-dependent nonlinear problems Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for 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 Performs adjoint sensitivity analysis for the van der Pol equation.
• time-dependent nonlinear problems Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
• 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 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 equation Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter
• van der Pol equation Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter
• van der Pol equation Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for 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:
• van der Pol equation DAE equivalent Performs adjoint sensitivity analysis for the van der Pol equation.
• van der Pol equation DAE equivalent Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.
• 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.
• adjoint sensitivity analysis Performs adjoint sensitivity analysis for the van der Pol equation.
Input parameters include:
-mu : stiffness parameter
• adjoint sensitivity analysis Performs adjoint sensitivity analysis for the van der Pol equation.