examples Directory Reference

Files
	bdf.icc
	BDF(p) backward differentiation formula – coefficients.
	burgers.icc
	The Burgers equation – the f function.
	burgers_dg.cc
	The Burgers equation by the discontinous Galerkin method.
	burgers_diffusion_dg.cc
	The diffusive Burgers equation by the discontinuous Galerkin method.
	burgers_diffusion_error.cc
	The diffusive Burgers equation – error analysis.
	burgers_diffusion_exact.h
	The diffusive Burgers equation – its exact solution.
	burgers_diffusion_operators.icc
	The diffusive Burgers equation – operators.
	burgers_flux_godunov.icc
	The Burgers equation – the Godonov flux.
	cahouet-chabart.h
	The Cahouet-Chabart preconditioner for the Navier-Stokes equations.
	cavity.h
	The driven cavity benchmark: 2D boundary conditions.
	cavity_3d.h
	The driven cavity benchmark: 3D boundary conditions.
	cavity_dg.h
	The driven cavity benchmark: right-hand-side and boundary conditions for the discontinuous Galerkin method.
	combustion.h
	The combustion problem: class header for the Newton method.
	combustion1.icc
	The combustion problem: class body for the Newton method.
	combustion2.icc
	The combustion problem: class body for the Newton method.
	combustion_continuation.cc
	The combustion problem by continuation.
	combustion_error.cc
	The combustion problem – error analysis.
	combustion_exact.icc
	The combustion problem – its exact solution.
	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.
	combustion_post.cc
	The combustion problem – post-treatment.
	commute_rtd.cc
	Discontinuous Raviart-Thomas L2 projection.
	commute_rtd_error.cc
	Discontinuous Raviart-Thomas L2 projection – error analysis.
	contraction.h
	The contraction geometry: boundary conditions.
	convect.cc
	Convection-diffusion equation by the method of characteristics.
	convect2.cc
	Convection-diffusion equation by BDF2 scheme and the method of characteristics.
	convect_error.cc
	Convection-diffusion equation by the method of characteristics – error analysis.
	convect_hdg.cc
	Convection-diffusion equation by the hybrid discontinuous Galerkin method.
	convect_hdg_error.cc
	Convection-diffusion equation by the hybrid discontinuous Galerkin method.
	cosinus_vector.h
	The cosinus vector function.
	cosinusprod.h
	The cosinus product function.
	cosinusprod_dirichlet.h
	The cosinus product function – right-hand-side and boundary condition for the Poisson problem.
	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.
	cosinusprod_error_hdg.cc
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
	cosinusprod_error_hdg_average.cc
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
	cosinusprod_error_hdg_post_rt.cc
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
	cosinusprod_grad.h
	The cosinus product function – its gradient.
	cosinusprod_helmholtz.h
	The cosinus product function – right-hand-side and boundary condition for the Helmholz problem.
	cosinusprod_laplace.h
	The cosinus product function – right-hand-side and boundary condition for the Laplace problem.
	cosinusprod_post_dg.cc
	The cosinus product function – post-treatment with the discontinuous Galerkin method.
	cosinusrad.h
	The cosinus radius function.
	cosinusrad_error.cc
	The cosinus product function – error analysis for the Poisson problem.
	cosinusrad_laplace.h
	The cosinus radius function – right-hand side and boundary condition.
	d_projection_dx.h
	The projection for yield-stress rheology – its derivative.
	diffusion_isotropic.h
	Tensor diffusion – isotropic case.
	diffusion_tensor.cc
	The tensor diffusion benchmark.
	diffusion_tensor_error.cc
	The tensor diffusion benchmark – error computation.
	diffusion_tensor_exact.icc
	The tensorial diffusion benchmark – right-hand-side and exact solution.
	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.
	diffusion_transport_tensor_exact.icc
	The tensor transport-diffusion benchmark – right-hand-side and exact solution.
	dirichlet-nh.cc
	The Poisson problem with non-homogeneous Dirichlet boundary conditions.
	dirichlet.cc
	The Poisson problem with homogeneous Dirichlet boundary conditions.
	dirichlet.icc
	The Poisson problem with homogeneous Dirichlet boundary condition – solver function.
	dirichlet2-ball.cc
	The Poisson problem with homogeneous boundary conditions – variable right-hand-side.
	dirichlet2.cc
	The Poisson problem with homogeneous boundary conditions – variable right-hand-side.
	dirichlet_dg.cc
	The Poisson problem by the discontinuous Galerkin method.
	dirichlet_dg_lazy.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_average.icc
	The Poisson problem by the hybrid discontinuous Galerkin method – local averaging function.
	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_hho_debug.cc
	The Poisson problem by the hybrid high order method.
	dirichlet_hho_v2.cc
	The Poisson problem by the hybrid high order method.
	dirichlet_homogeneous.h
	The Poisson problem with homogeneous Dirichlet boundary conditions – right-hand-side and boundary condition.
	dirichlet_nh_ball.cc
	The Poisson problem with non-homogeneous Dirichlet boundary conditions.
	elasticity_criterion.icc
	The elasticity problem – adaptive mesh criterion.
	elasticity_solve.icc
	The elasticity problem – solver function.
	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.icc
	The elasticity problem for the embankment geometry – boundary conditions.
	embankment_adapt.cc
	The elasticity problem for the embankment geometry with adaptive mesh.
	embankment_dg.cc
	embankment_dg.icc
	eta.h
	The p-Laplacian problem – the eta function.
	harten.h
	The Burgers problem: the Harten exact solution.
	harten0.h
	The Burgers problem: the Harten exact solution at t=0.
	harten_error.cc
	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_error.cc
	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-check.cc
	incompressible-elasticity.cc
	The incompressible elasticity problem for the embankment geometry.
	inertia.h
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – di Pietro & Ern variant.
	inertia_cks.icc
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – Cockburn, Kanschat & Schotzau variant.
	inertia_upw.icc
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – upwinding variant.
	lambda2alpha.h
	The combustion problem – inversion of the parameter function.
	lambda_c.cc
	The combustion problem – the criitical parameter value.
	lambda_c.h
	The combustion problem – the critical parameter value as a function.
	laplace_band.cc
	The Poisson problem on a surface by the banded level set method.
	laplace_band_error.cc
	laplace_s.cc
	The Poisson problem on a surface.
	laplace_s_error.cc
	level_set_sphere.cc
	Extraction as a surface mesh of the zero level set – spherical geometry.
	level_set_sphere_check.cc
	level_set_torus.cc
	Extraction as a surface mesh of the zero level set – spherical geometry.
	leveque.h
	The Leveque benchmark – function definition.
	leveque_dg.cc
	The Leveque benchmark by discontinuous Galerkin method.
	mosolov_augmented_lagrangian.cc
	The Mossolov problem by the augmented Lagrangian method.
	mosolov_augmented_lagrangian.h
	The Mossolov problem by the augmented Lagrangian method – solver class header.
	mosolov_augmented_lagrangian1.icc
	The Mossolov problem by the augmented Lagrangian method – solver class body.
	mosolov_augmented_lagrangian2.icc
	The Mossolov problem by the augmented Lagrangian method – solver class body.
	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_exact_circle.h
	The Mossolov problem for a circular pipe – exact solution.
	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_cavity_newton_dg.cc
	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods.
	navier_stokes_cavity_newton_upw_dg.cc
	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods.
	navier_stokes_criterion.cc
	navier_stokes_criterion.icc
	The Navier-Stokes equations – adaptive mesh criterion.
	navier_stokes_dg.h
	The Navier-Stokes equations with the discontinuous Galerkin method – class header.
	navier_stokes_dg1.icc
	The Navier-Stokes equations with the discontinuous Galerkin method – class body.
	navier_stokes_dg2.icc
	The Navier-Stokes equations with the discontinuous Galerkin method – class body.
	navier_stokes_solve.icc
	The Navier-Stokes equations with the method of characteristics – solver function.
	navier_stokes_taylor_cks_dg.cc
	The Navier-Stokes equations for the Taylor benchmark with fixed-point and discontinuous Galerkin methods – di Pietro & Ern variant.
	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.
	navier_stokes_upw_dg.h
	The Navier-Stokes equations with the discontinuous Galerkin method and upwinding – class header.
	navier_stokes_upw_dg.icc
	The Navier-Stokes equations with the discontinuous Galerkin method and upwinding – class body.
	neumann-laplace-check.cc
	neumann-laplace-lambda.cc
	The Poisson problem with Neumann boundary conditions.
	neumann-laplace.cc
	The Poisson problem with Neumann boundary conditions.
	neumann-nh.cc
	The Helmholtz problem with Neumann boundary conditions.
	neumann.cc
	neumann_dg.cc
	The Helmholtz problem with Neumann boundary conditions by the discontinuous Galerkin method.
	nu.h
	The p-Laplacian problem – the nu function.
	oldroyd_cavity.cc
	The Oldroyd problem on the contraction benchmark.
	oldroyd_cavity.h
	The Oldroyd problem on the driven cavity benchmark – boundary conditions.
	oldroyd_contraction.cc
	The Oldroyd problem on the contraction benchmark.
	oldroyd_contraction.h
	The Oldroyd problem on the contraction benchmark – boundary conditions.
	oldroyd_theta_scheme.h
	The Oldroyd problem by the theta-scheme – class header.
	oldroyd_theta_scheme1.h
	The Oldroyd problem by the theta-scheme – class body.
	oldroyd_theta_scheme2.h
	The Oldroyd problem by the theta-scheme – class body.
	oldroyd_theta_scheme3.h
	The Oldroyd problem by the theta-scheme – class body.
	p_laplacian.h
	The p-Laplacian problem by the Newton method – class header.
	p_laplacian1.icc
	The p-Laplacian problem by the Newton method – class body.
	p_laplacian2.icc
	The p-Laplacian problem by the Newton method – class body.
	p_laplacian_circle.h
	The p-Laplacian problem on a circular geometry – exact solution.
	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.
	p_laplacian_post.cc
	phi.h
	The Mossolov problem – the phi function.
	poisson_robin.icc
	The Poisson problem with Robin boundary condition – solver function.
	proj_band.cc
	The banded level set method - projection on the surface.
	projection.h
	The projection for yield-stress rheologies e.g. the yield slip problem.
	reconstruction_hho.cc
	The hybrid high order method – reconstruction operator.
	reconstruction_hho_check.cc
	residue check
	reconstruction_hho_v2.cc
	The hybrid high order method – reconstruction operator.
	robin.cc
	The Poisson problem with Robin boundary condition.
	robin2.cc
	The Poisson problem with Robin boundary condition.
	robin2_lazy.cc
	The Poisson problem with Robin boundary condition.
	rotating-hill-statio.h
	rotating-hill.h
	Convection-diffusion equation – the rotating hill benchmark.
	runge_kutta_semiimplicit.icc
	The semi-implicit Runge-Kutta scheme – coefficients.
	runge_kutta_ssp.icc
	The strong stability preserving Runge-Kutta scheme – coefficients.
	sgn.icc
	The sign function.
	sinusprod.h
	The sinus product function.
	sinusprod_dirichlet.h
	The sinus product function – right-hand-side and boundary condition for the Poisson problem.
	sinusprod_error.cc
	The cosinus product function – error analysis for the Poisson problem.
	sinusprod_error_dg.cc
	The cosinus product function – error analysis for the discontinuous Galerkin method.
	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.
	sinusprod_grad.h
	The sinus product function – its gradient.
	sinusprod_helmholtz.h
	The sinus product function – right-hand-side and boundary condition for the Helmholtz problem.
	sinusprod_laplace.h
	The sinus product function – right-hand-side and boundary condition for the Poisson problem with Neumann boundary condition.
	sinusrad.h
	The sinus radius function.
	sinusrad_error.cc
	The cosinus product function – error analysis for the Poisson problem.
	sinusrad_laplace.h
	The sinus radius function – right-hand-side and boundary condition for the Poisson problem with Neumann boundary condition.
	sphere.icc
	The level set function for the sphere geometry.
	stokes_cavity.cc
	The Stokes problem on the driven cavity benchmark – the Taylor-Hood element.
	stokes_cavity_3d.cc
	The Stokes problem on the driven cavity benchmark – the Taylor-Hood element.
	stokes_cavity_check.cc
	stokes_cavity_incompressible.cc
	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_contraction_bubble_old.cc
	stokes_contraction_incompressible.cc
	stokes_couette_slip_error.cc
	stokes_couette_slip_regul.cc
	stokes_dirichlet_dg.icc
	The Stokes problem with Dirichlet boundary condition by the discontinuous Galerkin method – solver function.
	stokes_obstacle_slip.cc
	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_cavity.icc
	The stream function for the 3D 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.
	taylor.h
	The Taylor benchmark – right-hand-side and boundary condition.
	taylor_exact.h
	The Taylor benchmark – the exact solution of the Stokes problem.
	torus.icc
	The torus benchmark – level set, right-hand-side and exact solution.
	transmission-mixed.cc
	The transmission problem – mixed formulation.
	transmission.cc
	The transmission problem.
	transmission_dg.cc
	The transmission problem with discontinuous Galerkin method.
	transmission_error.cc
	transport_dg.cc
	The transport benchmark by the discontinuous Galerkin method.
	transport_dg2.cc
	transport_dg2.h
	The rotating hill benchmark for the transport problem.
	transport_dg2_error.cc
	transport_dg_error.cc
	transport_hdg.cc
	transport_tensor_dg.cc
	The tensorial transport benchmark by the discontinuous Galerkin method.
	transport_tensor_error_dg.cc
	The tensorial transport benchmark – error computation.
	transport_tensor_exact.icc
	The tensorial transport benchmark – right-hand-side and exact solution.
	vector_projection.h
	The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.
	vortex_position.cc
	The stream function minima and its position.
	vorticity.cc
	The vorticity associated to a vector field.
	yield_slip.h
	The yield slip problem – class header.
	yield_slip1.icc
	The yield slip problem – class body.
	yield_slip2.icc
	The yield slip problem – class body.
	yield_slip_augmented_lagrangian.cc
	The yield slip problem by the augmented Lagrangian method.
	yield_slip_augmented_lagrangian.icc
	The yield slip problem by the augmented Lagrangian method – solver function.
	yield_slip_circle.h
	The yield slip problem on a circle – exact solution.
	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.h
	The Zalesak slotted disk benchmark – the exact solution.
	zalesak_circle.h
	The Zalesak full disk benchmark – the exact solution.
	zalesak_circle_dg.cc
	The Zalesak slotted disk benchmark by the discontinuous Galerkin method.
	zalesak_circle_dg_error.cc
	The Zalesak slotted disk benchmark – error analysis.
	zalesak_dg.cc
	The Zalesak slotted disk benchmark by the discontinuous Galerkin method.
	zalesak_dg_adapt.cc
	The Zalesak slotted disk benchmark – adaptive post-treatment.
	zalesak_dg_error.cc
	The Zalesak slotted disk benchmark – error analysis.
	zalesak_show.cc