ug4
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#include <lagrange.h>
Public Member Functions | |
void | check_index (size_t i) const |
checks in debug mode that index is valid More... | |
void | check_multi_index (const MathVector< dim, int > &ind) const |
checks in debug mode that multi-index is valid More... | |
bool | continuous () const |
returns if space constructs continuous functions More... | |
FlexLagrangeLSFS () | |
default Constructor More... | |
FlexLagrangeLSFS (size_t order) | |
Constructor. More... | |
void | grad (grad_type &g, const MathVector< dim, int > ind, const MathVector< dim > &x) const |
evaluates the gradient More... | |
void | grad (grad_type &g, const size_t i, const MathVector< dim > &x) const |
evaluates the gradient of the shape function More... | |
size_t | index (const MathVector< dim, int > &ind) const |
return the index for a multi_index More... | |
size_t | mapped_index (const MathVector< dim, int > &ind) const |
return the index for a multi_index More... | |
MathVector< dim, int > | mapped_multi_index (size_t i) const |
return the multi_index for an index More... | |
const MathVector< dim, int > & | multi_index (size_t i) const |
return Multi index for index i More... | |
size_t | num_sh () const |
bool | position (size_t i, MathVector< dim > &pos) const |
local position of DoF i More... | |
void | set_order (size_t order) |
sets the order More... | |
number | shape (const MathVector< dim, int > &ind, const MathVector< dim > &x) const |
shape value for a Multi Index More... | |
number | shape (const size_t i, const MathVector< dim > &x) const |
evaluates the shape function More... | |
Public Member Functions inherited from ug::LagrangeLDS< ReferenceHexahedron > | |
bool | exact_position_available () const |
returns if the local dof position are exact More... | |
LagrangeLDS (size_t order=1) | |
constructor More... | |
const LocalDoF & | local_dof (size_t dof) const |
returns the dof storage More... | |
size_t | num_dof () const |
returns the total number of DoFs on the finite element More... | |
size_t | num_dof (ReferenceObjectID roid) const |
returns the number of DoFs on a sub-geometric object type More... | |
ReferenceObjectID | roid () const |
returns the type of reference element More... | |
void | set_order (size_t order) |
sets the order More... | |
Public Member Functions inherited from ug::LocalDoFSet | |
int | dim () const |
returns the reference dimension More... | |
size_t | num_dof (int d, size_t id) const |
returns the number of DoFs on a sub-geometric object of dim and id More... | |
bool | operator!= (const LocalDoFSet &v) const |
inequality check More... | |
bool | operator== (const LocalDoFSet &v) const |
equality check More... | |
virtual | ~LocalDoFSet () |
virtual destructor More... | |
size_t | num_dof () const |
Public Member Functions inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceHexahedron >, 3 > | |
void | grad (grad_type &g, size_t i, const MathVector< dim > &x) const |
evaluates the gradient of the shape function More... | |
void | grads (grad_type *vGrad, const MathVector< dim > &x) const |
returns all gradients evaluated at a point More... | |
void | grads (std::vector< grad_type > &vGrad, const MathVector< dim > &x) const |
returns all gradients evaluated at a point More... | |
void | grads (std::vector< std::vector< grad_type > > &vvGrad, const std::vector< MathVector< dim > > &vLocPos) const |
returns all gradients evaluated at a point More... | |
void | shape (shape_type &sh, size_t i, const MathVector< dim > &x) const |
evaluates the shape function More... | |
shape_type | shape (size_t i, const MathVector< dim > &x) const |
evaluates the shape function More... | |
void | shapes (shape_type *vShape, const MathVector< dim > &x) const |
returns all shape functions evaluated at a point More... | |
void | shapes (std::vector< shape_type > &vShape, const MathVector< dim > &x) const |
returns all shape functions evaluated at a point More... | |
void | shapes (std::vector< std::vector< shape_type > > &vvShape, const std::vector< MathVector< dim > > &vLocPos) const |
returns all shape functions evaluated at a point More... | |
Static Public Attributes | |
static const int | dim = ReferenceHexahedron::dim |
Dimension, where shape functions are defined. More... | |
Static Public Attributes inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceHexahedron >, 3 > | |
static const int | dim |
dimension of reference element More... | |
Private Attributes | |
std::vector< Polynomial1D > | m_vDPolynom |
Derivative of Shape Polynomial. More... | |
std::vector< MathVector< dim, int > > | m_vMultiIndex |
std::vector< Polynomial1D > | m_vPolynom |
Shape Polynomials. More... | |
size_t | nsh |
Number of shape functions. More... | |
size_t | p |
order More... | |
Additional Inherited Members | |
Public Types inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceHexahedron >, 3 > | |
typedef MathVector< TDim > | grad_type |
Gradient type. More... | |
typedef FlexLagrangeLSFS< ReferenceHexahedron > | ImplType |
type of implementation More... | |
typedef number | shape_type |
Shape type. More... | |
Protected Member Functions inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceHexahedron >, 3 > | |
ImplType & | getImpl () |
access to implementation More... | |
const ImplType & | getImpl () const |
const access to implementation More... | |
Protected Attributes inherited from ug::LagrangeLDS< ReferenceHexahedron > | |
std::vector< LocalDoF > | m_vLocalDoF |
association to geom obj More... | |
size_t | p |
order More... | |
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default Constructor
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Constructor.
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checks in debug mode that index is valid
References UG_ASSERT.
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returns if space constructs continuous functions
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evaluates the gradient
References dim.
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evaluates the gradient of the shape function
This function returns the gradient of Shape Function i at an element-local evaluation point.
[in] | i | number of DoF |
[in] | x | Position on reference element (evaluation point) |
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return the index for a multi_index
References UG_THROW.
Referenced by ug::ComputeMultiIndicesOfSubElement< 3 >().
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return the index for a multi_index
References p.
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return the multi_index for an index
References p.
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return Multi index for index i
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returns the total number of dofs on the finite element
Reimplemented from ug::LocalDoFSet.
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local position of DoF i
This function returns the local position of a DoF if possible.
[in] | i | number of DoF |
[out] | pos | Position of DoF |
true | if position exists |
false | if no meaningful position available |
References dim, p, and ug::EquidistantLagrange1D::position().
void ug::FlexLagrangeLSFS< ReferenceHexahedron >::set_order | ( | size_t | order | ) |
sets the order
References ug::Provider< TClass >::get(), p, ug::LagrangeLDS< TRefElem >::set_order(), and ug::SetLagrangeMultiIndex().
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shape value for a Multi Index
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evaluates the shape function
This function returns the value of Shape Function i at an element-local evaluation point.
[in] | i | number of DoF |
[in] | x | Position on reference element (evaluation point) |
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Dimension, where shape functions are defined.
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Derivative of Shape Polynomial.
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Shape Polynomials.
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Number of shape functions.
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order