Tutorial programs grouped by topics

Basic techniques Step-1 Creating a grid. A simple way to write it to a file
Step-2 Degrees of freedom
Step-3 Solve the Laplace equation
Step-4 Dimension independent programming, non-zero data
Step-5 Computing on uniformly refined meshes
Step-6 Adaptivity
Step-7 Evaluating errors
Step-15 Nonlinear problems, Newton's method

Advanced techniques Step-9, Step-28, Step-32, Step-44, Step-48 Multithreading
Step-20, Step-21, Step-22, Step-31, Step-32, Step-43, Step-44 Block solvers and preconditioners
Step-31, Step-32, Step-33, Step-41, Step-43 Using Trilinos
Step-17, Step-18, Step-19, Step-40 Parallelization via PETSc and MPI
Step-32 Parallelization via Trilinos and MPI
Step-32, Step-40 Parallelization on very large numbers of processors
Step-19, Step-28, Step-29, Step-32, Step-33, Step-34, Step-35, Step-36, Step-44 Input parameter handling
Step-10, Step-11, Step-32 Higher order mappings
Step-6, Step-9, Step-14, Step-39 Error indicators and estimators
Step-15, Step-28, Step-31, Step-32, Step-33, Step-40, Step-43 Transferring solutions across mesh refinement
Step-12, Step-21, Step-39, Step-46 Discontinuous Galerkin methods
Step-27, Step-46 hp finite elements
Step-30 Anisotropic refinement for DG finite element methods
Step-16, Step-31, Step-32, Step-39, Step-41, Step-43 Multilevel preconditioners
Step-33 Computing Jacobians from residuals, automatic differentiation
Step-32, Step-34, Step-38 Boundary element methods, curved manifolds
Step-45 Periodic boundary conditions
Step-37, Step-48 Matrix-free methods
Step-49 Advanced meshes

Linear solver issues Step-3 Conjugate Gradient solver
Step-5 Preconditioned CG solver
Step-9 BiCGStab
Step-16, Step-31, Step-32, Step-37, Step-39, Step-41, Step-43 Multilevel preconditioners
Step-17, Step-18, Step-32, Step-40 Parallel solvers
Step-20, Step-21, Step-22, Step-31, Step-32, Step-43 Block and Schur complement solvers
Step-35 Decoupled projection solvers
Step-33, Step-41, Step-44 Linear Newton systems from nonlinear equations
Step-36 Eigenvalue solvers

Other equations Step-7, Step-29 Helmholtz equation
Step-8, Step-46 Elasticity equations
Step-15 Minimal surface equation
Step-18, Step-44 Quasi-static elasticity equations
Step-9, Step-21, Step-31, Step-32, Step-43 Transport (advection) equations
Step-33 The nonlinear hyperbolic Euler system of compressible gas dynamics
Step-20, Step-21, Step-43 Mixed Laplace, Darcy, Porous media
Step-22, Step-31, Step-32, Step-35, Step-46 Stokes and incompressible Navier-Stokes flow
Step-23, Step-24, Step-25, Step-48 The wave equation, in linear and nonlinear variants
Step-28 A multigroup diffusion problem in neutron transport
Step-34 Irrotational flow
Step-36 An eigenspectrum problem
Step-41 The obstacle problem, a variational inequality
Step-46 Coupling different equations in different parts of the domain

Vector problems Step-8 Elasticity equations
Step-20 Mixed Laplace
Step-21, Step-43 Mixed Laplace plus an advection equation
Step-22, Step-31, Step-32, Step-35 Incompressible Stokes and Navier-Stokes flow
Step-29 A complex-valued Helmholtz problem
Step-33 The Euler equations of compressible gas dynamics
Step-46 Coupling different equations in different parts of the domain
Time-dependent problems Step-18, Step-44 Quasi-static elasticity
Step-21, Step-43 Porous media flow
Step-23, Step-24, Step-25, Step-48 The wave equation, in linear and nonlinear variants
Step-31, Step-32 Time dependent Stokes flow driven by buoyancy
Step-33 The Euler equations of compressible gas dynamics

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