Concepts_File

PETSc version 3.16.5

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PETSc Help Index

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| adjoints | tao/unconstrained/spectraladjointassimilation.c

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| bags | dm/ex7.c

| sys/ex5.c

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| complex numbers | ksp/ksp/ex11f.F90

| Solves a linear system in parallel with KSP

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| DM

| using distributed arrays | Solves a linear system in parallel with KSP and DM

| DMDA

| using distributed arrays | -Laplacian u = b as a nonlinear problem

| Bratu nonlinear PDE in 2d

| Bratu nonlinear PDE in 3d

| ksp/ksp/ex14f.F90

| Minimum surface problem in 2D

| Nonlinear driven cavity with multigrid in 2d

| Nonlinear Radiative Transport PDE with multigrid in 2d

| snes/ex5f.F90

| snes/ex5f90.F90

| snes/ex5f90t.F90

| Surface processes in geophysics

| Transient nonlinear driven cavity in 2d

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| Fortran90

| accessing indices in index set | vec/is/is/ex3f90.F90

| accessing indices of index set | vec/is/is/ex1f90.F90

| assembling vectors | vec/vec/ex4f90.F90

| using basic vector routines | vec/vec/ex1f90.F90

| vec/vec/ex20f90.F90

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| global to local mappings | Demonstrates using ISLocalToGlobalMappings

| Demonstrates using ISLocalToGlobalMappings with block size

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| HDF5 | dm/ex9.c

| Helmholtz equation | Solves a linear system in parallel with KSP

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| index sets

| accessing indices from Fortran | vec/is/is/ex2f.F

| creating a block index set | Demonstrates creating a blocked index set

| creating a stride index set | Demonstrates creating a stride index set

| creating general | Creating a general index set

| manipulating a block index set | vec/is/is/ex3f90.F90

| manipulating a general index set | Creating a general index set

| vec/is/is/ex1f.F

| vec/is/is/ex1f90.F90

| manipulating a stride index set | vec/is/is/ex2f.F

| introduction to PETSc | Demonstrates PetscGetVersonNumber()

| Illustrates creating an options database

| Introductory example that illustrates printing

| Introductory example that illustrates running PETSc on a subset of processes

| sys/ex16.c

| sys/ex4f.F

| sys/ex4f90.F90

| IS

| creating a block index set | Demonstrates creating a blocked index set

| creating a general index set | Creating a general index set

| creating a stride index set | Demonstrates creating a stride index set

| IS coloirng types | -Laplacian u = b as a nonlinear problem

| Bratu nonlinear PDE in 2d

| Surface processes in geophysics

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| KSP | ksp/ksp/ex74.c

| Additive Schwarz Method (ASM) with user-defined subdomains | Illustrates use of the preconditioner ASM

| Additive Schwarz Method (GASM) with user-defined subdomains | Illustrates use of PCGASM

| Illustrates use of the preconditioner GASM

| basic parallel example | Bilinear elements on the unit square for Laplacian

| ksp/ksp/ex10.c

| ksp/ksp/ex15f.F90

| ksp/ksp/ex2f.F90

| ksp/ksp/ex67.c

| Solves a (permuted) linear system in parallel with KSP

| Solves a linear system in parallel with KSP

| Solves a linear system in parallel with KSP and DM

| Solves a tridiagonal linear system

| basic sequential example | ksp/ksp/ex13f90.F90

| Solves a variable Poisson problem with KSP

| customizing the block Jacobi preconditioner | Block Jacobi preconditioner for solving a linear system in parallel with KSP

| ksp/ksp/ex7f.F90

| different matrices for linear system and preconditioner | ksp/ksp/ex6f.F90

| Laplacian, 2d | ksp/ksp/ex12.c

| ksp/ksp/ex13f90.F90

| Solves 2D inhomogeneous Laplacian

| Solves 2D inhomogeneous Laplacian using multigrid

| Solves a (permuted) linear system in parallel with KSP

| Solves a linear system in parallel with KSP

| Solves a linear system in parallel with KSP and DM

| Solves a sequence of linear systems with different right-hand-side vectors

| Solves a variable Poisson problem with KSP

| Laplacian, 3d | Solves 3D Laplacian using multigrid

| repeatedly solving linear systems | ksp/ksp/ex5f.F90

| ksp/ksp/ex6f.F90

| Solves a sequence of linear systems with different right-hand-side vectors

| Solves two linear systems in parallel with KSP

| The solution of 2 different linear systems with different linear solvers

| setting a user-defined monitoring routine | ksp/ksp/ex2f.F90

| solving a Helmholtz equation | ksp/ksp/ex11f.F90

| Solves a linear system in parallel with KSP

| solving a linear system | Reads a PETSc matrix and vector from a file and solves a linear system

| Reads a PETSc matrix and vector from a file and solves the normal equations

| Reads a PETSc matrix and vector from a socket connection, solves a linear system and sends the result back

| solving a system of linear equations | ksp/ksp/ex12.c

| ksp/ksp/ex1f.F90

| ksp/ksp/ex54f.F90

| Solves 2D inhomogeneous Laplacian

| Solves 2D inhomogeneous Laplacian using multigrid

| Solves 3D Laplacian using multigrid

| Solves a tridiagonal linear system with KSP

| writing a user-defined nonlinear solver | ksp/ksp/ex14f.F90

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| Laplacian, 2d | ksp/ksp/ex13f90.F90

| Solves a (permuted) linear system in parallel with KSP

| Solves a linear system in parallel with KSP

| Solves a linear system in parallel with KSP and DM

| Solves a sequence of linear systems with different right-hand-side vectors

| Solves a variable Poisson problem with KSP

| local to global mappings | Demonstrates using ISLocalToGlobalMappings

| Demonstrates using ISLocalToGlobalMappings with block size

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| Mat

| composite matrices | mat/ex9.c

| image segmentation | mat/ex15.c

| mat/ex17.c

| loading a binary matrix | mat/ex10.c

| loading a binary matrix and vector | ksp/ksp/ex10.c

| mat/ex12.c

| Reads a PETSc matrix and vector from a file and reorders it

| mat partitioning | mat/ex15.c

| mat/ex17.c

| mesh partitioning | mat/ex11.c

| ordering a matrix - loading a binary matrix and vector | mat/ex12.c

| Reads a PETSc matrix and vector from a file and reorders it

| MAT | ksp/ksp/ex74.c

| mathematical functions | Demonstrates various vector routines for DMDA

| MATKAIJ | ksp/ksp/ex74.c

| MatNest | snes/ex73f90t.F90

| Matrices

| inserting elements by blocks | Bilinear elements on the unit square for Laplacian

| multicomponent | Nonlinear driven cavity with multigrid in 2d

| multigrid | Minimum surface problem in 2D

| Nonlinear Radiative Transport PDE with multigrid in 2d

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| Normal equations | Reads a PETSc matrix and vector from a file and solves the normal equations

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| optimization

| likely | Example of using PetscLikely() and PetscUnlikely()

| unlikely | Example of using PetscLikely() and PetscUnlikely()

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| PC

| registering preconditioners | ksp/ksp/ex12.c

| setting a user-defined shell preconditioner | ksp/ksp/ex15f.F90

| Solves a linear system in parallel with KSP

| periodic boundary conditions | ksp/ksp/ex67.c

| Newton methods to solve u'' = f in parallel with periodic boundary conditions

| petsc

| introduction | Synchronized printing

| PetscLog

| activating/deactivating events for profiling | Augmenting PETSc profiling by add events

| activating/deactivating events for profiling (basic example) | sys/ex3f.F

| sys/logging/ex1f.F90

| preloading executable | ksp/ksp/ex10.c

| mat/ex12.c

| Reads a PETSc matrix and vector from a file and reorders it

| profiling multiple stages of code | ksp/ksp/ex5f.F90

| Solves two linear systems in parallel with KSP

| The solution of 2 different linear systems with different linear solvers

| user-defined event profiling | Augmenting PETSc profiling by add events

| The solution of 2 different linear systems with different linear solvers

| user-defined event profiling (basic example) | sys/ex3f.F

| sys/logging/ex1f.F90

| printf

| in parallel | Synchronized printing

| synchronized | Synchronized printing

| printing

| in parallel | Illustrates creating an options database

| Introductory example that illustrates printing

| Synchronized printing

| sys/ex16.c

| synchronized | Synchronized printing

| process

| subset set PETSC_COMM_WORLD | Introductory example that illustrates running PETSc on a subset of processes

| sys/ex4f.F

| sys/ex4f90.F90

| profiling

| activating/deactivating events | Augmenting PETSc profiling by add events

| user-defined event | Augmenting PETSc profiling by add events

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| SNES

| basic example | Newton's method for a two-variable system, sequential

| Newton's method to solve a two-variable system that comes from the Rosenbrock function

| basic parallel example | Newton methods to solve u'' = f in parallel with periodic boundary conditions

| Newton methods to solve u'' + u^{2} = f in parallel

| basic uniprocessor example | Newton method to solve u'' + u^{2} = f, sequentially

| snes/ex1f.F90

| parallel Bratu example | -Laplacian u = b as a nonlinear problem

| Bratu nonlinear PDE in 2d

| Bratu nonlinear PDE in 3d

| snes/ex5f.F90

| snes/ex5f90.F90

| snes/ex5f90t.F90

| snes/ex73f90t.F90

| parallel Surface process example | Surface processes in geophysics

| setting a user-defined monitoring routine | Newton method to solve u'' + u^{2} = f, sequentially

| Newton methods to solve u'' + u^{2} = f in parallel

| setting a user-defined reasonview routine | Newton method to solve u'' + u^{2} = f, sequentially

| solving a system of nonlinear equations | Minimum surface problem in 2D

| Nonlinear Radiative Transport PDE with multigrid in 2d

| solving a system of nonlinear equations (parallel multicomponent example) | Nonlinear driven cavity with multigrid in 2d

| stride

| creating a stride index set | Demonstrates creating a stride index set

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| TAO

| Solving a bound constrained minimization problem | tao/bound/jbearing2.c

| tao/bound/plate2.c

| tao/bound/plate2f.F90

| Solving a complementarity problem | tao/complementarity/blackscholes.c

| tao/complementarity/minsurf1.c

| Solving a system of nonlinear equations, nonlinear least squares | Finds the least-squares solution to the under constraint linear model Ax = b, with L1-norm regularizer

| Finds the least-squares solution to the under constraint linear model Ax = b, with regularizer

| tao/leastsquares/chwirut1.c

| tao/leastsquares/chwirut2.c

| tao/pde_constrained/elliptic.c

| tao/pde_constrained/hyperbolic.c

| tao/pde_constrained/parabolic.c

| Solving an unconstrained minimization problem | tao/constrained/maros.c

| tao/leastsquares/chwirut1f.F90

| tao/leastsquares/chwirut2f.F90

| tao/unconstrained/eptorsion1.c

| tao/unconstrained/eptorsion2.c

| tao/unconstrained/eptorsion2f.F

| tao/unconstrained/minsurf2.c

| tao/unconstrained/rosenbrock1.c

| tao/unconstrained/rosenbrock1f.F90

| tao/unconstrained/rosenbrock2.c

| tao/unconstrained/rosenbrock3.c

| TS | Solves the ordinary differential equations (IVPs) using explicit and implicit time-integration methods

| adjoint for time dependent parameters | ts/ex20td.c

| adjoint sensitivity analysis | Performs adjoint sensitivity analysis for the van der Pol equation

| All at once approach to sensitivity tracking | ts/ex20td.c

| Burger's equation | ts/ex50.c

| Customized adjoint monitor based sensitivity tracking | ts/ex20td.c

| differential-algebraic equation | Transient nonlinear driven cavity in 2d

| diffusion equation | Solves a simple time-dependent linear PDE (the heat equation)

| tao/unconstrained/spectraladjointassimilation.c

| heat equation | Solves a simple time-dependent linear PDE (the heat equation)

| tao/unconstrained/spectraladjointassimilation.c

| multicomponent | Transient nonlinear driven cavity in 2d

| nonlinear problems | Solves the time independent Bratu problem using pseudo-timestepping

| ts/ex1f.F

| Optimization using adjoint sensitivity analysis | Solves a ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation

| Solves the van der Pol equation

| pseudo-timestepping | Solves the time independent Bratu problem using pseudo-timestepping

| ts/ex1f.F

| solving a system of nonlinear equations (parallel multicomponent example) | Transient nonlinear driven cavity in 2d

| time-dependent linear problems | Solves a simple time-dependent linear PDE (the heat equation)

| tao/unconstrained/spectraladjointassimilation.c

| time-dependent nonlinear problems | Performs adjoint sensitivity analysis for the van der Pol equation

| Solves a ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation

| Solves a time-dependent nonlinear PDE

| Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points

| Solves the van der Pol DAE

| Solves the van der Pol equation

| Solves the van der Pol equation and demonstrate IMEX

| ts/ex50.c

| van der Pol DAE | Solves the van der Pol DAE

| van der Pol equation | Performs adjoint sensitivity analysis for the van der Pol equation

| Solves the van der Pol equation and demonstrate IMEX

| van der Pol equation DAE equivalent | Performs adjoint sensitivity analysis for the van der Pol equation

| Solves a ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation

| Solves the van der Pol equation

| Variational inequality nonlinear solver | Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points

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| A | B | C | D | F | G | H | I | K | L | M | N | O | P | S | T | V |

| vectors

| arrays | vec/vec/ex4f90.F90

| arrays of vectors | vec/vec/ex4f.F

| assembling | vec/vec/ex2f.F

| vec/vec/ex4f.F

| assembling vectors | Builds a parallel vector with 1 component on the first processor, 2 on the second, etc

| Computes the integral of 2*x/(1+x^2) from x=0

| Demonstrates use of VecCreateGhost()

| vec/vec/ex14f.F90

| vec/vec/ex4f90.F90

| vec/vec/ex9f.F90

| assembling vectors with local ordering | Demonstrates using a local ordering to set values into a parallel vector

| basic routines | Basic vector routines

| vec/vec/ex1f.F90

| vec/vec/ex21f90.F90

| drawing vectors | Parallel vector layout

| vec/vec/ex3f.F

| fortran-c | Demonstrates calling a Fortran computational routine from C

| ghost padding | Demonstrates use of VecCreateGhost()

| vec/vec/ex14f.F90

| vec/vec/ex9f.F90

| local access to | Parallel vector layout

| norms of sub-vectors | Demonstrates VecStrideNorm()

| vec/vec/ex11f.F

| vec/vec/ex11f90.F90

| setting values | Parallel vector layout

| sub-vectors | Demonstrates VecStrideScatter() and VecStrideGather()

| Demonstrates VecStrideScatter() and VecStrideGather() with subvectors that are also strided

| using basic vector routines | vec/vec/ex1f90.F90

| vec/vec/ex20f90.F90

| viewing | Parallel HDF5 Vec Viewing

| Vectors

| loading a binary vector | mat/ex12.c

| Reads a PETSc matrix and vector from a file and reorders it

| viewers | dm/ex7.c

| dm/ex9.c

| append | Appends to an ASCII file

| hdf5 | Parallel HDF5 Vec Viewing