LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t > Struct Template Reference

Default parameters for the diffusion equation, cf. below. More...

#include <advection_parab_ldgh.hxx>

Static Public Member Functions
static param_float_t	inverse_diffusion_coeff (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Inverse diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Analytic result of PDE (for convergence tests). More...
static param_float_t	inverse_diffusion_coeff (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Inverse diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Analytic result of PDE (for convergence tests). More...
static param_float_t	diffusion_coeff (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Analytic result of PDE (for convergence tests). More...
static param_float_t	inverse_diffusion_coeff (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Inverse diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Analytic result of PDE (for convergence tests). More...
static param_float_t	inverse_diffusion_coeff (const Point< space_dimT, param_float_t > &point, const param_float_t time=0.)
	Inverse diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &point, const param_float_t time=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &point, const param_float_t time=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &point, const param_float_t time=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &point, const param_float_t time=0.)
	Analytic result of PDE (for convergence tests). More...
static param_float_t	inverse_diffusion_coeff (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Inverse diffusion coefficient in PDE as analytic function. More...
static param_float_t	right_hand_side (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Right-hand side in PDE as analytic function. More...
static param_float_t	dirichlet_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Dirichlet values of solution as analytic function. More...
static param_float_t	neumann_value (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Neumann values of solution as analytic function. More...
static param_float_t	analytic_result (const Point< space_dimT, param_float_t > &, const param_float_t=0.)
	Analytic result of PDE (for convergence tests). More...

Static Public Attributes
static constexpr std::array< unsigned int, 0U >	dirichlet_nodes {}
	Array containing hypernode types corresponding to Dirichlet boundary. More...
static constexpr std::array< unsigned int, 0U >	neumann_nodes {}
	Array containing hypernode types corresponding to Neumann boundary. More...

Detailed Description

template<unsigned int space_dimT, typename param_float_t = double>
struct LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >

Default parameters for the diffusion equation, cf. below.

---

Authors

Guido Kanschat, Heidelberg University, 2019–2020.

Andreas Rupp, Heidelberg University, 2019–2020.

Member Function Documentation

analytic_result() [1/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

analytic_result() [2/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

analytic_result() [3/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

analytic_result() [4/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

analytic_result() [5/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

analytic_result() [6/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::analytic_result ( const Point< space_dimT, param_float_t > &  point, const param_float_t  time = 0.  )

inlinestatic

Analytic result of PDE (for convergence tests).

---

diffusion_coeff()

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::diffusion_coeff ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Diffusion coefficient in PDE as analytic function.

---

dirichlet_value() [1/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

dirichlet_value() [2/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

dirichlet_value() [3/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

dirichlet_value() [4/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

dirichlet_value() [5/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

dirichlet_value() [6/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_value ( const Point< space_dimT, param_float_t > &  point, const param_float_t  time = 0.  )

inlinestatic

Dirichlet values of solution as analytic function.

---

inverse_diffusion_coeff() [1/5]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::inverse_diffusion_coeff ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Inverse diffusion coefficient in PDE as analytic function.

---

inverse_diffusion_coeff() [2/5]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::inverse_diffusion_coeff ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Inverse diffusion coefficient in PDE as analytic function.

---

inverse_diffusion_coeff() [3/5]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::inverse_diffusion_coeff ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Inverse diffusion coefficient in PDE as analytic function.

---

inverse_diffusion_coeff() [4/5]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::inverse_diffusion_coeff ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Inverse diffusion coefficient in PDE as analytic function.

---

inverse_diffusion_coeff() [5/5]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::inverse_diffusion_coeff ( const Point< space_dimT, param_float_t > &  point, const param_float_t  time = 0.  )

inlinestatic

Inverse diffusion coefficient in PDE as analytic function.

---

neumann_value() [1/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

neumann_value() [2/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

neumann_value() [3/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

neumann_value() [4/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

neumann_value() [5/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

neumann_value() [6/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_value ( const Point< space_dimT, param_float_t > &  point, const param_float_t  time = 0.  )

inlinestatic

Neumann values of solution as analytic function.

---

right_hand_side() [1/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

right_hand_side() [2/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

right_hand_side() [3/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

right_hand_side() [4/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

right_hand_side() [5/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  , const  param_float_t = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

right_hand_side() [6/6]

template<unsigned int space_dimT, typename param_float_t = double>

static param_float_t LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::right_hand_side ( const Point< space_dimT, param_float_t > &  point, const param_float_t  time = 0.  )

inlinestatic

Right-hand side in PDE as analytic function.

---

Member Data Documentation

dirichlet_nodes

template<unsigned int space_dimT, typename param_float_t = double>

static constexpr std::array< unsigned int, 0U > LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::dirichlet_nodes {}

staticconstexpr

Array containing hypernode types corresponding to Dirichlet boundary.

---

neumann_nodes

template<unsigned int space_dimT, typename param_float_t = double>

static constexpr std::array< unsigned int, 0U > LocalSolver::DiffusionParametersDefault< space_dimT, param_float_t >::neumann_nodes {}

staticconstexpr

Array containing hypernode types corresponding to Neumann boundary.

---

---

The documentation for this struct was generated from the following files:

• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/advection_parab_ldgh.hxx
• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/diffusion_eigs_ldgh.hxx
• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/diffusion_ip.hxx
• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/diffusion_ldgh.hxx
• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/diffusion_ldgh_pp.hxx
• /home/runner/work/HyperHDG/HyperHDG/include/HyperHDG/local_solver/diffusion_parab_ldgh.hxx