examples Directory Reference

Files
file	bdf.icc [code]
	BDF(p) backward differentiation formula – coefficients.
file	burgers.icc [code]
	The Burgers equation – the f function.
file	burgers_dg.cc [code]
	The Burgers equation by the discontinous Galerkin method.
file	burgers_diffusion_dg.cc [code]
	The diffusive Burgers equation by the discontinuous Galerkin method.
file	burgers_diffusion_error.cc [code]
	The diffusive Burgers equation – error analysis.
file	burgers_diffusion_exact.h [code]
	The diffusive Burgers equation – its exact solution.
file	burgers_diffusion_operators.icc [code]
	The diffusive Burgers equation – operators.
file	burgers_flux_godunov.icc [code]
	The Burgers equation – the Godonov flux.
file	cahouet-chabart.h [code]
	The Cahouet-Chabart preconditioner for the Navier-Stokes equations.
file	cavity.h [code]
	The driven cavity benchmark: 2D boundary conditions.
file	cavity_3d.h [code]
	The driven cavity benchmark: 3D boundary conditions.
file	cavity_dg.h [code]
	The driven cavity benchmark: right-hand-side and boundary conditions for the discontinuous Galerkin method.
file	combustion.h [code]
	The combustion problem: class header for the Newton method.
file	combustion1.icc [code]
	The combustion problem: class body for the Newton method.
file	combustion2.icc [code]
	The combustion problem: class body for the Newton method.
file	combustion_continuation.cc [code]
	The combustion problem by continuation.
file	combustion_error.cc [code]
	The combustion problem – error analysis.
file	combustion_exact.icc [code]
	The combustion problem – its exact solution.
file	combustion_keller.cc [code]
	The combustion problem by Keller continuation.
file	combustion_keller_post.cc [code]
	The combustion problem by Keller continuation – post-treatment.
file	combustion_newton.cc [code]
	The combustion problem by the Newton method.
file	combustion_post.cc [code]
	The combustion problem – post-treatment.
file	commute_rtd.cc [code]
	Discontinuous Raviart-Thomas L2 projection.
file	commute_rtd_error.cc [code]
	Discontinuous Raviart-Thomas L2 projection – error analysis.
file	contraction.h [code]
	The contraction geometry: boundary conditions.
file	convect.cc [code]
	Convection-diffusion equation by the method of characteristics.
file	convect2.cc [code]
	Convection-diffusion equation by BDF2 scheme and the method of characteristics.
file	convect_error.cc [code]
	Convection-diffusion equation by the method of characteristics – error analysis.
file	convect_hdg.cc [code]
	Convection-diffusion equation by the hybrid discontinuous Galerkin method.
file	convect_hdg_error.cc [code]
	Convection-diffusion equation by the hybrid discontinuous Galerkin method.
file	cosinus_vector.h [code]
	The cosinus vector function.
file	cosinusprod.h [code]
	The cosinus product function.
file	cosinusprod_dirichlet.h [code]
	The cosinus product function – right-hand-side and boundary condition for the Poisson problem.
file	cosinusprod_error.cc [code]
	The cosinus product function – error analysis for the Poisson problem.
file	cosinusprod_error_dg.cc [code]
	The cosinus product function – error analysis for the discontinuous Galerkin method.
file	cosinusprod_error_hdg.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	cosinusprod_error_hdg_average.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	cosinusprod_error_hdg_post_rt.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	cosinusprod_grad.h [code]
	The cosinus product function – its gradient.
file	cosinusprod_helmholtz.h [code]
	The cosinus product function – right-hand-side and boundary condition for the Helmholz problem.
file	cosinusprod_laplace.h [code]
	The cosinus product function – right-hand-side and boundary condition for the Laplace problem.
file	cosinusprod_post_dg.cc [code]
	The cosinus product function – post-treatment with the discontinuous Galerkin method.
file	cosinusrad.h [code]
	The cosinus radius function.
file	cosinusrad_error.cc [code]
	The cosinus product function – error analysis for the Poisson problem.
file	cosinusrad_laplace.h [code]
	The cosinus radius function – right-hand side and boundary condition.
file	d_projection_dx.h [code]
	The projection for yield-stress rheology – its derivative.
file	diffusion_isotropic.h [code]
	Tensor diffusion – isotropic case.
file	dirichlet-nh.cc [code]
	The Poisson problem with non-homogeneous Dirichlet boundary conditions.
file	dirichlet.cc [code]
	The Poisson problem with homogeneous Dirichlet boundary conditions.
file	dirichlet.icc [code]
	The Poisson problem with homogeneous Dirichlet boundary condition – solver function.
file	dirichlet2-ball.cc [code]
	The Poisson problem with homogeneous boundary conditions – variable right-hand-side.
file	dirichlet2.cc [code]
	The Poisson problem with homogeneous boundary conditions – variable right-hand-side.
file	dirichlet_dg.cc [code]
	The Poisson problem by the discontinuous Galerkin method.
file	dirichlet_hdg.cc [code]
	The Poisson problem by the hybrid discontinuous Galerkin method.
file	dirichlet_hdg_average.cc [code]
	The Poisson problem by the hybrid discontinuous Galerkin method – local averaging.
file	dirichlet_hdg_average.icc [code]
	The Poisson problem by the hybrid discontinuous Galerkin method – local averaging function.
file	dirichlet_hdg_post.cc [code]
	The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment.
file	dirichlet_hdg_post_rt.cc [code]
	The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment with the Raviart-Thomas element.
file	dirichlet_hho.cc [code]
	The Poisson problem by the hybrid high order method.
file	dirichlet_homogeneous.h [code]
	The Poisson problem with homogeneous Dirichlet boundary conditions – right-hand-side and boundary condition.
file	dirichlet_nh_ball.cc [code]
	The Poisson problem with non-homogeneous Dirichlet boundary conditions.
file	elasticity_criterion.icc [code]
	The elasticity problem – adaptive mesh criterion.
file	elasticity_solve.icc [code]
	The elasticity problem – solver function.
file	elasticity_taylor_dg.cc [code]
	The elasticity problem with the Taylor benchmark and discontinuous Galerkin method.
file	elasticity_taylor_error_dg.cc [code]
	The elasticity problem with the Taylor benchmark and discontinuous Galerkin method – error analysis.
file	embankment.cc [code]
	The elasticity problem for the embankment geometry.
file	embankment.icc [code]
	The elasticity problem for the embankment geometry – boundary conditions.
file	embankment_adapt.cc [code]
	The elasticity problem for the embankment geometry with adaptive mesh.
file	embankment_dg.cc [code]
file	embankment_dg.icc [code]
file	eta.h [code]
	The p-Laplacian problem – the eta function.
file	harten.h [code]
	The Burgers problem: the Harten exact solution.
file	harten0.h [code]
	The Burgers problem: the Harten exact solution at t=0.
file	harten_error.cc [code]
file	harten_show.cc [code]
	The Burgers problem: the Harten exact solution – visualization.
file	heat.cc [code]
	The heat equation.
file	helmholtz_band.cc [code]
	The Helmholtz problem on a surface by the banded level-set method.
file	helmholtz_band_error.cc [code]
file	helmholtz_band_iterative.cc [code]
	The Helmholtz problem on a surface by the banded level-set method – iterative solver.
file	helmholtz_s.cc [code]
	The Helmholtz problem on a surface.
file	helmholtz_s_error.cc [code]
	The Helmholtz problem on a surface – error analysis.
file	incompressible-elasticity-check.cc [code]
file	incompressible-elasticity.cc [code]
	The incompressible elasticity problem for the embankment geometry.
file	inertia.h [code]
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – di Pietro & Ern variant.
file	inertia_cks.icc [code]
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – Cockburn, Kanschat & Schotzau variant.
file	inertia_upw.icc [code]
	The inertia term of the Navier-Stokes equation with the discontinuous Galerkin method – upwinding variant.
file	lambda2alpha.h [code]
	The combustion problem – inversion of the parameter function.
file	lambda_c.cc [code]
	The combustion problem – the criitical parameter value.
file	lambda_c.h [code]
	The combustion problem – the critical parameter value as a function.
file	laplace_band.cc [code]
	The Poisson problem on a surface by the banded level set method.
file	laplace_band_error.cc [code]
file	laplace_s.cc [code]
	The Poisson problem on a surface.
file	laplace_s_error.cc [code]
file	level_set_sphere.cc [code]
	Extraction as a surface mesh of the zero level set – spherical geometry.
file	level_set_sphere_check.cc [code]
file	level_set_torus.cc [code]
	Extraction as a surface mesh of the zero level set – spherical geometry.
file	leveque.h [code]
	The Leveque benchmark – function definition.
file	leveque_dg.cc [code]
	The Leveque benchmark by discontinuous Galerkin method.
file	mosolov_augmented_lagrangian.cc [code]
	The Mossolov problem by the augmented Lagrangian method.
file	mosolov_augmented_lagrangian.h [code]
	The Mossolov problem by the augmented Lagrangian method – solver class header.
file	mosolov_augmented_lagrangian1.icc [code]
	The Mossolov problem by the augmented Lagrangian method – solver class body.
file	mosolov_augmented_lagrangian2.icc [code]
	The Mossolov problem by the augmented Lagrangian method – solver class body.
file	mosolov_error.cc [code]
	The Mossolov problem for a circular pipe – error analysis.
file	mosolov_error_yield_surface.cc [code]
	The Mossolov problem for a circular pipe – error analysis for the yield surface.
file	mosolov_exact_circle.h [code]
	The Mossolov problem for a circular pipe – exact solution.
file	mosolov_residue.cc [code]
	The Mossolov problem – residue analysis.
file	mosolov_yield_surface.cc [code]
	The Mossolov problem – yield surface.
file	navier_stokes_cavity.cc [code]
	The Navier-Stokes equations on the driven cavity benchmark with the method of characteristics.
file	navier_stokes_cavity_newton_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods.
file	navier_stokes_cavity_newton_upw_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods.
file	navier_stokes_criterion.cc [code]
file	navier_stokes_criterion.icc [code]
	The Navier-Stokes equations – adaptive mesh criterion.
file	navier_stokes_dg.h [code]
	The Navier-Stokes equations with the discontinuous Galerkin method – class header.
file	navier_stokes_dg1.icc [code]
	The Navier-Stokes equations with the discontinuous Galerkin method – class body.
file	navier_stokes_dg2.icc [code]
	The Navier-Stokes equations with the discontinuous Galerkin method – class body.
file	navier_stokes_solve.icc [code]
	The Navier-Stokes equations with the method of characteristics – solver function.
file	navier_stokes_taylor_cks_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark with fixed-point and discontinuous Galerkin methods – di Pietro & Ern variant.
file	navier_stokes_taylor_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark with fixed-point and discontinuous Galerkin methods – di Pietro & Ern variant.
file	navier_stokes_taylor_error_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark – error analysis.
file	navier_stokes_taylor_newton_dg.cc [code]
	The Navier-Stokes equations for the Taylor benchmark by Newton and discontinuous Galerkin methods.
file	navier_stokes_upw_dg.h [code]
	The Navier-Stokes equations with the discontinuous Galerkin method and upwinding – class header.
file	navier_stokes_upw_dg.icc [code]
	The Navier-Stokes equations with the discontinuous Galerkin method and upwinding – class body.
file	neumann-laplace-check.cc [code]
file	neumann-laplace-lambda.cc [code]
	The Poisson problem with Neumann boundary conditions.
file	neumann-laplace.cc [code]
	The Poisson problem with Neumann boundary conditions.
file	neumann-nh.cc [code]
	The Helmholtz problem with Neumann boundary conditions.
file	neumann.cc [code]
file	neumann_dg.cc [code]
	The Helmholtz problem with Neumann boundary conditions by the discontinuous Galerkin method.
file	nu.h [code]
	The p-Laplacian problem – the nu function.
file	oldroyd_cavity.cc [code]
	The Oldroyd problem on the contraction benchmark.
file	oldroyd_cavity.h [code]
	The Oldroyd problem on the driven cavity benchmark – boundary conditions.
file	oldroyd_contraction.cc [code]
	The Oldroyd problem on the contraction benchmark.
file	oldroyd_contraction.h [code]
	The Oldroyd problem on the contraction benchmark – boundary conditions.
file	oldroyd_theta_scheme.h [code]
	The Oldroyd problem by the theta-scheme – class header.
file	oldroyd_theta_scheme1.h [code]
	The Oldroyd problem by the theta-scheme – class body.
file	oldroyd_theta_scheme2.h [code]
	The Oldroyd problem by the theta-scheme – class body.
file	oldroyd_theta_scheme3.h [code]
	The Oldroyd problem by the theta-scheme – class body.
file	p_laplacian.h [code]
	The p-Laplacian problem by the Newton method – class header.
file	p_laplacian1.icc [code]
	The p-Laplacian problem by the Newton method – class body.
file	p_laplacian2.icc [code]
	The p-Laplacian problem by the Newton method – class body.
file	p_laplacian_circle.h [code]
	The p-Laplacian problem on a circular geometry – exact solution.
file	p_laplacian_damped_newton.cc [code]
	The p-Laplacian problem by the damped Newton method.
file	p_laplacian_error.cc [code]
	The p-Laplacian problem on a circular geometry – error analysis.
file	p_laplacian_fixed_point.cc [code]
	The p-Laplacian problem by the fixed-point method.
file	p_laplacian_newton.cc [code]
	The p-Laplacian problem by the Newton method.
file	p_laplacian_post.cc [code]
file	phi.h [code]
	The Mossolov problem – the phi function.
file	poisson_robin.icc [code]
	The Poisson problem with Robin boundary condition – solver function.
file	proj_band.cc [code]
	The banded level set method - projection on the surface.
file	projection.h [code]
	The projection for yield-stress rheologies e.g. the yield slip problem.
file	reconstruction_hho.cc [code]
	The hybrid high order method – reconstruction operator.
file	robin.cc [code]
	The Poisson problem with Robin boundary condition.
file	robin2.cc [code]
	The Poisson problem with Robin boundary condition.
file	rotating-hill-statio.h [code]
file	rotating-hill.h [code]
	Convection-diffusion equation – the rotating hill benchmark.
file	runge_kutta_semiimplicit.icc [code]
	The semi-implicit Runge-Kutta scheme – coefficients.
file	runge_kutta_ssp.icc [code]
	The strong stability preserving Runge-Kutta scheme – coefficients.
file	sgn.icc [code]
	The sign function.
file	sinusprod.h [code]
	The sinus product function.
file	sinusprod_dirichlet.h [code]
	The sinus product function – right-hand-side and boundary condition for the Poisson problem.
file	sinusprod_error.cc [code]
	The cosinus product function – error analysis for the Poisson problem.
file	sinusprod_error_dg.cc [code]
	The cosinus product function – error analysis for the discontinuous Galerkin method.
file	sinusprod_error_hdg.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	sinusprod_error_hdg_average.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	sinusprod_error_hdg_post_rt.cc [code]
	The sinus product function – error analysis for the hybrid discontinuous Galerkin method.
file	sinusprod_error_hho_reconstruction.cc [code]
	The sinus product function – reconstruction for the hybrid high order method.
file	sinusprod_grad.h [code]
	The sinus product function – its gradient.
file	sinusprod_helmholtz.h [code]
	The sinus product function – right-hand-side and boundary condition for the Helmholtz problem.
file	sinusprod_laplace.h [code]
	The sinus product function – right-hand-side and boundary condition for the Poisson problem with Neumann boundary condition.
file	sinusrad.h [code]
	The sinus radius function.
file	sinusrad_error.cc [code]
	The cosinus product function – error analysis for the Poisson problem.
file	sinusrad_laplace.h [code]
	The sinus radius function – right-hand-side and boundary condition for the Poisson problem with Neumann boundary condition.
file	sphere.icc [code]
	The level set function for the sphere geometry.
file	stokes_cavity.cc [code]
	The Stokes problem on the driven cavity benchmark – the Taylor-Hood element.
file	stokes_cavity_3d.cc [code]
	The Stokes problem on the driven cavity benchmark – the Taylor-Hood element.
file	stokes_cavity_check.cc [code]
file	stokes_cavity_incompressible.cc [code]
file	stokes_contraction.cc [code]
	The Stokes problem on the contraction benchmark – the Taylor-Hood element.
file	stokes_contraction_bubble.cc [code]
	The Stokes problem on the driven cavity benchmark – the P1-bubble element.
file	stokes_contraction_bubble_old.cc [code]
file	stokes_contraction_incompressible.cc [code]
file	stokes_couette_slip_error.cc [code]
file	stokes_couette_slip_regul.cc [code]
file	stokes_dirichlet_dg.icc [code]
	The Stokes problem with Dirichlet boundary condition by the discontinuous Galerkin method – solver function.
file	stokes_obstacle_slip.cc [code]
file	stokes_obstacle_slip_regul.cc [code]
	The Stokes problem on the obstacle benchmark with slip boundary condition – the Taylor-Hood element.
file	stokes_taylor_dg.cc [code]
	The Stokes problem for the Taylor benchmark by the discontinuous Galerkin method.
file	stokes_taylor_error_dg.cc [code]
	The Stokes problem for the Taylor benchmark by the discontinuous Galerkin method – error analysis.
file	streamf_cavity.cc [code]
	The stream function for the driven cavity benchmark.
file	streamf_cavity.icc [code]
	The stream function for the 3D driven cavity benchmark.
file	streamf_contraction.cc [code]
	The stream function for the contraction benchmark.
file	streamf_obstacle_slip_move.cc [code]
	The stream function for the obstacle benchmark with slip boundary condition.
file	stress.cc [code]
	The stress tensor for the linear elasticity and Stokes problems.
file	taylor.h [code]
	The Taylor benchmark – right-hand-side and boundary condition.
file	taylor_exact.h [code]
	The Taylor benchmark – the exact solution of the Stokes problem.
file	torus.icc [code]
	The torus benchmark – level set, right-hand-side and exact solution.
file	transmission-mixed.cc [code]
	The transmission problem – mixed formulation.
file	transmission.cc [code]
	The transmission problem.
file	transmission_error.cc [code]
file	transport_dg.cc [code]
	The transport benchmark by the discontinuous Galerkin method.
file	transport_dg2.cc [code]
file	transport_dg2.h [code]
	The rotating hill benchmark for the transport problem.
file	transport_dg2_error.cc [code]
file	transport_dg_error.cc [code]
file	transport_hdg.cc [code]
file	transport_tensor_dg.cc [code]
	The tensorial transport benchmark by the discontinuous Galerkin method.
file	transport_tensor_error_dg.cc [code]
	The tensorial transport benchmark – error computation.
file	transport_tensor_exact.icc [code]
	The tensorial transport benchmark – right-hand-side and exact solution.
file	vector_projection.h [code]
	The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.
file	vortex_position.cc [code]
	The stream function minima and its position.
file	vorticity.cc [code]
	The vorticity associated to a vector field.
file	yield_slip.h [code]
	The yield slip problem – class header.
file	yield_slip1.icc [code]
	The yield slip problem – class body.
file	yield_slip2.icc [code]
	The yield slip problem – class body.
file	yield_slip_augmented_lagrangian.cc [code]
	The yield slip problem by the augmented Lagrangian method.
file	yield_slip_augmented_lagrangian.icc [code]
	The yield slip problem by the augmented Lagrangian method – solver function.
file	yield_slip_circle.h [code]
	The yield slip problem on a circle – exact solution.
file	yield_slip_damped_newton.cc [code]
	The yield slip problem by the damped Neton method.
file	yield_slip_error.cc [code]
	The yield slip problem on a circle – error computation.
file	yield_slip_residue.cc [code]
	The yield slip problem – residue computation.
file	zalesak.h [code]
	The Zalesak slotted disk benchmark – the exact solution.
file	zalesak_circle.h [code]
	The Zalesak full disk benchmark – the exact solution.
file	zalesak_circle_dg.cc [code]
	The Zalesak slotted disk benchmark by the discontinuous Galerkin method.
file	zalesak_circle_dg_error.cc [code]
	The Zalesak slotted disk benchmark – error analysis.
file	zalesak_dg.cc [code]
	The Zalesak slotted disk benchmark by the discontinuous Galerkin method.
file	zalesak_dg_adapt.cc [code]
	The Zalesak slotted disk benchmark – adaptive post-treatment.
file	zalesak_dg_error.cc [code]
	The Zalesak slotted disk benchmark – error analysis.
file	zalesak_show.cc [code]