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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-nh.cc | The Poisson problem with non-homogeneous Dirichlet boundary conditions
dirichlet.cc | The Poisson problem with homogeneous Dirichlet boundary conditions
dirichlet_dg.cc | The Poisson problem by the discontinuous Galerkin method
dirichlet_hdg.cc | The Poisson problem by the hybrid discontinuous Galerkin method
dirichlet_hdg_average.cc | The Poisson problem by the hybrid discontinuous Galerkin method – local averaging
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
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.cc | The elasticity problem for the embankment geometry
embankment_adapt.cc | The elasticity problem for the embankment geometry with adaptive mesh
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-laplace.cc | The Poisson problem with Neumann boundary conditions
neumann-nh.cc | The Helmholtz problem with Neumann boundary conditions
neumann_dg.cc | The Helmholtz problem with Neumann boundary conditions by the discontinuous Galerkin method
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.cc | The sinus product function – error analysis for the hybrid discontinuous Galerkin method
sinusprod_error_hdg_average.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.cc | The Stokes problem on the contraction benchmark – the Taylor-Hood element
stokes_contraction_bubble.cc | The Stokes problem on the driven cavity benchmark – the P1-bubble 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