Examples

The following examples are fully documented in the User's guide :

burgers_dg.cc	The Burgers equation by the discontinous Galerkin method
burgers_diffusion_dg.cc	The diffusive Burgers equation by the discontinuous Galerkin method
combustion_continuation.cc	The combustion problem by continuation
combustion_error.cc	The combustion problem – error analysis
combustion_keller.cc	The combustion problem by Keller continuation
combustion_keller_post.cc	The combustion problem by Keller continuation – post-treatment
combustion_newton.cc	The combustion problem by the Newton method
commute_rtd.cc	Discontinuous Raviart-Thomas L2 projection
commute_rtd_error.cc	Discontinuous Raviart-Thomas L2 projection – error analysis
convect.cc	Convection-diffusion equation by the method of characteristics
convect_error.cc	Convection-diffusion equation by the method of characteristics – error analysis
cosinusprod_error.cc	The cosinus product function – error analysis for the Poisson problem
cosinusprod_error_dg.cc	The cosinus product function – error analysis for the discontinuous Galerkin method
diffusion_transport_tensor_dg.cc	The tensor transport-diffusion benchmark with the discontinuous Galerkin method
diffusion_transport_tensor_error_dg.cc	The tensor transport-diffusion benchmark – error computation
dirichlet.cc	The Poisson problem with homogeneous Dirichlet boundary conditions
dirichlet_dg.cc	The Poisson problem by the discontinuous Galerkin method
dirichlet_hdg_average.cc	The Poisson problem by the hybrid discontinuous Galerkin method – local averaging
dirichlet_hdg.cc	The Poisson problem by the hybrid discontinuous Galerkin method
dirichlet_hdg_post.cc	The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment
dirichlet_hdg_post_rt.cc	The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment with the Raviart-Thomas element
dirichlet_hho.cc	The Poisson problem by the hybrid high order method
dirichlet-nh.cc	The Poisson problem with non-homogeneous Dirichlet boundary conditions
elasticity_taylor_dg.cc	The elasticity problem with the Taylor benchmark and discontinuous Galerkin method
elasticity_taylor_error_dg.cc	The elasticity problem with the Taylor benchmark and discontinuous Galerkin method – error analysis
embankment_adapt.cc	The elasticity problem for the embankment geometry with adaptive mesh
embankment.cc	The elasticity problem for the embankment geometry
harten_show.cc	The Burgers problem: the Harten exact solution – visualization
heat.cc	The heat equation
helmholtz_band.cc	The Helmholtz problem on a surface by the banded level-set method
helmholtz_band_iterative.cc	The Helmholtz problem on a surface by the banded level-set method – iterative solver
helmholtz_s.cc	The Helmholtz problem on a surface
helmholtz_s_error.cc	The Helmholtz problem on a surface – error analysis
incompressible-elasticity.cc	The incompressible elasticity problem for the embankment geometry
lambda_c.cc	The combustion problem – the criitical parameter value
laplace_band.cc	The Poisson problem on a surface by the banded level set method
laplace_s.cc	The Poisson problem on a surface
level_set_sphere.cc	Extraction as a surface mesh of the zero level set – spherical geometry
leveque_dg.cc	The Leveque benchmark by discontinuous Galerkin method
mosolov_augmented_lagrangian.cc	The Mossolov problem by the augmented Lagrangian method
mosolov_error.cc	The Mossolov problem for a circular pipe – error analysis
mosolov_error_yield_surface.cc	The Mossolov problem for a circular pipe – error analysis for the yield surface
mosolov_residue.cc	The Mossolov problem – residue analysis
mosolov_yield_surface.cc	The Mossolov problem – yield surface
navier_stokes_cavity.cc	The Navier-Stokes equations on the driven cavity benchmark with the method of characteristics
navier_stokes_taylor_dg.cc	The Navier-Stokes equations for the Taylor benchmark with fixed-point and discontinuous Galerkin methods – di Pietro & Ern variant
navier_stokes_taylor_error_dg.cc	The Navier-Stokes equations for the Taylor benchmark – error analysis
navier_stokes_taylor_newton_dg.cc	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods
neumann_dg.cc	The Helmholtz problem with Neumann boundary conditions by the discontinuous Galerkin method
neumann-laplace.cc	The Poisson problem with Neumann boundary conditions
neumann-nh.cc	The Helmholtz problem with Neumann boundary conditions
oldroyd_contraction.cc	The Oldroyd problem on the contraction benchmark
p_laplacian_damped_newton.cc	The p-Laplacian problem by the damped Newton method
p_laplacian_error.cc	The p-Laplacian problem on a circular geometry – error analysis
p_laplacian_fixed_point.cc	The p-Laplacian problem by the fixed-point method
p_laplacian_newton.cc	The p-Laplacian problem by the Newton method
proj_band.cc	The banded level set method - projection on the surface
reconstruction_hho.cc	The hybrid high order method – reconstruction operator
robin.cc	The Poisson problem with Robin boundary condition
sinusprod_error_hdg_average.cc	The sinus product function – error analysis for the hybrid discontinuous Galerkin method
sinusprod_error_hdg.cc	The sinus product function – error analysis for the hybrid discontinuous Galerkin method
sinusprod_error_hdg_post_rt.cc	The sinus product function – error analysis for the hybrid discontinuous Galerkin method
sinusprod_error_hho_reconstruction.cc	The sinus product function – reconstruction for the hybrid high order method
stokes_cavity.cc	The Stokes problem on the driven cavity benchmark – the Taylor-Hood element
stokes_contraction_bubble.cc	The Stokes problem on the driven cavity benchmark – the P1-bubble element
stokes_contraction.cc	The Stokes problem on the contraction benchmark – the Taylor-Hood element
stokes_obstacle_slip_regul.cc	The Stokes problem on the obstacle benchmark with slip boundary condition – the Taylor-Hood element
stokes_taylor_dg.cc	The Stokes problem for the Taylor benchmark by the discontinuous Galerkin method
stokes_taylor_error_dg.cc	The Stokes problem for the Taylor benchmark by the discontinuous Galerkin method – error analysis
streamf_cavity.cc	The stream function for the driven cavity benchmark
streamf_contraction.cc	The stream function for the contraction benchmark
streamf_obstacle_slip_move.cc	The stream function for the obstacle benchmark with slip boundary condition
stress.cc	The stress tensor for the linear elasticity and Stokes problems
transmission.cc	The transmission problem
transmission_dg.cc	The transmission problem with discontinuous Galerkin method
transport_dg.cc	The transport benchmark by the discontinuous Galerkin method
transport_tensor_dg.cc	The tensorial transport benchmark by the discontinuous Galerkin method
transport_tensor_error_dg.cc	The tensorial transport benchmark – error computation
vortex_position.cc	The stream function minima and its position
vorticity.cc	The vorticity associated to a vector field
yield_slip_augmented_lagrangian.cc	The yield slip problem by the augmented Lagrangian method
yield_slip_damped_newton.cc	The yield slip problem by the damped Neton method
yield_slip_error.cc	The yield slip problem on a circle – error computation
yield_slip_residue.cc	The yield slip problem – residue computation
zalesak_dg.cc	The Zalesak slotted disk benchmark by the discontinuous Galerkin method