This module contains all basis function routines. More...

Data Types
interface	basis_routines::basis_evaluate_xi
	Evaluates the appropriate partial derivative index for the specificied basis function at a Xi location. More...

interface	basis_routines::basis_gauss_points_calculate
	Evaluates the list of gauss points and weights for a given basis type and order. More...

interface	basis_routines::basis_interpolate_gauss
	Interpolates the appropriate partial derivative index of the elements parameters for basis function at a Gauss point. More...

interface	basis_routines::basis_interpolate_xi
	Interpolates the appropriate partial derivative index of the elements parameters for basis function at Xi location. More...

interface	basis_routines::basis_interpolate_local_face_gauss
	Interpolates the requested partial derivative index(ices) of the element parameters for basis function at a face Gauss point. More...

interface	basis_routines::basis_interpolation_xi_set
	Sets/changes the interpolation type in each Xi direction for a basis. More...

interface	basis_routines::basis_number_of_xi_set
	Sets/changes the number of Xi directions for a basis. More...

interface	basis_routines::basis_type_set
	Sets/changes the type for a basis. More...

interface	basis_routines::basis_collapsed_xi_set
	Sets/changes the collapsed Xi flags for a basis. More...

interface	basis_routines::basis_quadrature_order_set
	Sets/changes the order of a quadrature for a basis quadrature. More...

interface	basis_routines::basis_quadrature_type_set
	Sets/changes the quadrature type for a basis. More...

interface	basis_routines::simplex_linear_evaluate

interface	basis_routines::simplex_quadratic_evaluate

interface	basis_routines::simplex_cubic_evaluate

interface	basis_routines::basis_lhtp_basis_evaluate
	Evaluates the Lagrange/Hermite/Fourier tensor product basis function for the given basis. More...

Modules
module	basis_routines
	This module contains all basis function routines.

Functions/Subroutines
subroutine, public	basis_routines::bases_finalise (ERR, ERROR,)
	Finalises the bases and deallocates all memory. More...

subroutine, public	basis_routines::bases_initialise (ERR, ERROR,)
	Initialises the bases. More...

subroutine, public	basis_routines::basis_create_finish (BASIS, ERR, ERROR,)
	Finishes the creation of a new basis. More...

subroutine, public	basis_routines::basis_create_start (USER_NUMBER, BASIS, ERR, ERROR,)
	Starts the creation of a new basis The default values of the BASIS attributes are: More...

recursive subroutine	basis_routines::basis_destroy_number (USER_NUMBER, ERR, ERROR,)
	Destroys a basis identified by its basis user number. More...

recursive subroutine, public	basis_routines::basis_destroy (BASIS, ERR, ERROR,)
	Destroys a basis. More...

real(dp) function	basis_routines::basis_evaluate_xi_dp (BASIS, ELEMENT_PARAMETER_INDEX, PARTIAL_DERIV_INDEX, XI, ERR, ERROR)
	Evaluates the appropriate partial derivative index at position XI for the basis for double precision arguments. Note for simplex basis functions the XI coordinates should exclude the last area coordinate. More...

subroutine	basis_routines::basis_gauss_points_calculate_dp (basis, order, numCoords, numberGaussPoints, gaussPoints, gaussWeights, err, error,)
	Calculates the gauss points and weights for a basis function of a particular order. More...

recursive subroutine	basis_routines::basis_family_destroy (USER_NUMBER, FAMILY_NUMBER, ERR, ERROR,)
	Destroys a basis identified by its basis user number and family number. Called from the library visible routine BASIS_DESTROY. More...

recursive subroutine	basis_routines::basis_family_number_find (USER_NUMBER, FAMILY_NUMBER, BASIS, ERR, ERROR,)
	Finds and returns in BASIS a pointer to the basis with the given USER_NUMBER and FAMILY_NUMBER. If no basis with that number and family number exists then BASIS is returned nullified. More...

subroutine	basis_routines::basis_finalise (BASIS, ERR, ERROR,)
	Finalises a basis and deallocates all memory. More...

subroutine	basis_routines::basis_initialise (BASIS, ERR, ERROR,)
	Initialises a basis. More...

real(dp) function	basis_routines::basis_interpolate_gauss_dp (BASIS, PARTIAL_DERIV_INDEX, QUADRATURE_SCHEME, GAUSS_POINT_NUMBER, ELEMENT_PARAMETERS, ERR, ERROR)
	Interpolates the appropriate partial derivative index of the element parameters at a gauss point for the basis for double precision arguments. Note the interpolated value returned needs to be adjusted for the particular >coordinate system with COORDINATE_INTERPOLATE_ADJUST. More...

real(dp) function	basis_routines::basis_interpolate_local_face_gauss_dp (BASIS, PARTIAL_DERIV_INDEX, QUADRATURE_SCHEME, LOCAL_FACE_NUMBER, GAUSS_POINT_NUMBER, FACE_PARAMETERS, ERR, ERROR)
	Interpolates the appropriate partial derivative index of the element local face parameters at a face gauss point for the basis for double precision arguments. Note the interpolated value returned needs to be adjusted for the particular >coordinate system with COORDINATE_INTERPOLATE_ADJUST. More...

real(dp) function	basis_routines::basis_interpolate_xi_dp (BASIS, PARTIAL_DERIV_INDEX, XI, ELEMENT_PARAMETERS, ERR, ERROR)
	Interpolates the appropriate partial derivative index of the element parameters at position XI for the basis for double precision arguments. Note the interpolated value returned needs to be adjusted for the particular coordinate system with COORDINATE_INTERPOLATE_ADJUST. Note for simplex basis functions the XI coordinates should exclude the last area coordinate. More...

subroutine, public	basis_routines::basis_interpolation_xi_get (BASIS, INTERPOLATION_XI, ERR, ERROR,)
	Gets/changes the interpolation type in each xi directions for a basis identified by a pointer. More...

subroutine	basis_routines::basis_interpolation_xi_set_number (USER_NUMBER, INTERPOLATION_XI, ERR, ERROR,)
	Sets/changes the interpolation type in each xi directions where the basis is identified by user number. More...

subroutine	basis_routines::basis_interpolation_xi_set_ptr (BASIS, INTERPOLATION_XI, ERR, ERROR,)
	Sets/changes the interpolation type in each xi directions for a basis identified by a pointer. More...

subroutine	basis_routines::basis_lhtpbasiscreate (basis, err, error,)
	Creates and initialises a Lagrange-Hermite tensor product basis that has already been allocated BASIS_CREATE_START. More...

real(dp) function	basis_routines::basis_lhtp_basis_evaluate_dp (BASIS, NODE_NUMBER, DERIVATIVE_NUMBER, PARTIAL_DERIV_INDEX, XI, ERR, ERROR)
	Evaluates the double precision Lagrange/Hermite/Fourier tensor product basis function for the given BASIS. More...

subroutine	basis_routines::basis_lhtp_family_create (BASIS, ERR, ERROR,)
	Creates and initialises a Lagrange-Hermite tensor product basis family that has already been allocated by BASIS_CREATE_START. More...

subroutine	basis_routines::basis_radial_family_create (BASIS, ERR, ERROR,)
	Creates and initialises a Radial basis family that has already been allocated by BASIS_CREATE_START. More...

subroutine, public	basis_routines::basis_local_node_xi_calculate (BASIS, LOCAL_NODE_NUMBER, XI, ERR, ERROR,)
	Calculates the xi location of a local node in a basis. More...

subroutine, public	basis_routines::basis_number_of_local_nodes_get (BASIS, NUMBER_OF_LOCAL_NODES, ERR, ERROR,)
	Returns the number of local nodes in the specified basis. More...

subroutine, public	basis_routines::basis_number_of_xi_get (BASIS, NUMBER_OF_XI, ERR, ERROR,)
	Gets the number of xi directions for a basis. More...

subroutine	basis_routines::basis_number_of_xi_set_number (USER_NUMBER, NUMBER_OF_XI, ERR, ERROR,)
	Sets/changes the number of xi directions where the basis is identified by user number. More...

subroutine	basis_routines::basis_number_of_xi_set_ptr (BASIS, NUMBER_OF_XI, ERR, ERROR,)
	Sets/changes the number of xi directions for a basis identified by a pointer. More...

subroutine	basis_routines::basis_quadrature_create (BASIS, ERR, ERROR,)
	Creates the quadrature and quadrature schemes on a basis. More...

subroutine, public	basis_routines::basis_quadrature_destroy (QUADRATURE, ERR, ERROR,)
	Destroys a quadrature on a given basis and deallocates all memory. More...

subroutine	basis_routines::basis_quadrature_finalise (BASIS, ERR, ERROR,)
	Finalises a quadrature on a given basis and deallocates all memory. More...

subroutine	basis_routines::basis_quadrature_initialise (BASIS, ERR, ERROR,)
	Initialises a quadrature on the given basis. More...

subroutine, public	basis_routines::basis_quadrature_number_of_gauss_xi_get (BASIS, QUADRATURE_NUMBER_OF_GAUSS_XI, ERR, ERROR,)
	Get the number of Gauss points in each xi direction on a basis quadrature identified by a pointer. More...

subroutine, public	basis_routines::basis_quadrature_number_of_gauss_xi_set (BASIS, NUMBER_OF_GAUSS_XI, ERR, ERROR,)
	Sets/changes the number of Gauss points in each xi direction on a basis quadrature identified by a pointer. More...

subroutine, public	basis_routines::basis_quadrature_single_gauss_xi_get (BASIS, SCHEME, GAUSS_POINT, GAUSS_XI, ERR, ERROR,)
	Returns the xi positions of a Gauss point on a basis quadrature identified by a pointer. More...

subroutine, public	basis_routines::basis_quadrature_multiple_gauss_xi_get (BASIS, SCHEME, GAUSS_POINTS, GAUSS_XI, ERR, ERROR,)
	Returns the xi positions of Gauss points on a basis quadrature identified by a pointer. If no Gauss points are specified then xi positions of all Gauss points are returned. More...

subroutine, public	basis_routines::basis_quadrature_order_get (BASIS, QUADRATURE_ORDER, ERR, ERROR,)
	Get the order of a quadrature for a basis quadrature identified by a pointer. More...

subroutine	basis_routines::basis_quadrature_order_set_number (USER_NUMBER, ORDER, ERR, ERROR,)
	Sets/changes the order of a quadrature for a basis quadrature identified by a user number. More...

subroutine	basis_routines::basis_quadrature_order_set_ptr (BASIS, ORDER, ERR, ERROR,)
	Sets/changes the order of a quadrature for a basis quadrature identified by a pointer. More...

subroutine, public	basis_routines::basis_quadrature_type_get (BASIS, QUADRATURE_TYPE, ERR, ERROR,)
	get the quadrature type on a basis identified by a pointer. More...

subroutine	basis_routines::basis_quadrature_type_set_number (USER_NUMBER, TYPE, ERR, ERROR,)
	Sets/changes the quadrature type for a basis quadrature identified by a user number. More...

subroutine	basis_routines::basis_quadrature_type_set_ptr (BASIS, TYPE, ERR, ERROR,)
	Sets/changes the quadrature type on a basis identified by a pointer. More...

subroutine, public	basis_routines::basis_quadraturelocalfacegaussevaluateset (BASIS, FACE_GAUSS_EVALUATE, ERR, ERROR,)
	Sets/changes the local face Gauss evaluation flag on a basis. More...

subroutine	basis_routines::basis_simplex_basis_create (BASIS, ERR, ERROR,)
	Creates and initialises a simplex basis that has already been allocated BASIS_CREATE_START. More...

subroutine	basis_routines::basis_simplex_family_create (BASIS, ERR, ERROR,)
	Creates and initialises a simplex basis family that has already been allocated by BASIS_CREATE_START. More...

real(dp) function	basis_routines::basis_simplex_basis_evaluate (BASIS, NODE_NUMBER, PARTIAL_DERIV_INDEX, XL, ERR, ERROR)
	Evaluates a simplex basis function and its derivatives with respect to external $\mathbf{\xi}$ coordinates. For Simplex line elements there are two area coordinates which are a function of $\xi_1$ : $L_1 = 1 - \xi_1$ and $L_2 = \xi_1 - 1$ .The derivatives wrt to external coordinates are then given by $\frac{\partial\mathbf{N}}{\partial\xi_1}= \frac{\partial\mathbf(x)}{\partial L_2}-\frac{\partial \mathbf{N}}{\partial L_1}$ and $\frac{\partial^2\mathbf{N}}{ \partial \xi_1^2} = \frac{\partial^2\mathbf{N}}{\partial L_1^2}-2\frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_2}+ \frac{\partial^2\mathbf{N}}{\partial L_2^2}$ . For Simplex triangle elements there are three area coordinates which are a function of $\xi_1$ and $\xi_2$ : $L_1 = 1 - \xi_1$ , $L_2 = 1 - \xi_2$ and $L_3=\xi_1 + \xi_2 - 1$ . The derivatives wrt to external coordinates are then given by $\frac{\partial \mathbf{N}}{\partial\xi_1}=\frac{\partial\mathbf(N)}{\partial L_3}- \frac{\partial \mathbf{N}}{\partial L_1}$ , $\frac{\partial \mathbf{N}}{\partial\xi_2}=\frac{\partial\mathbf(x)}{ \partial L_3}-\frac{\partial \mathbf{N}}{\partial L_2}$ , $\frac{\partial^2\mathbf{N}}{\partial \xi_1^2} = \frac{\partial^2\mathbf{N}}{\partial L_1^2}-2\frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_3}+ \frac{\partial^2\mathbf{N}}{\partial L_3^2}$ , $\frac{\partial^2\mathbf{N}}{\partial \xi_2^2} = \frac{\partial^2\mathbf{N}}{\partial L_2^2}-2\frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_3}+ \frac{\partial^2\mathbf{N}}{\partial L_3^2}$ and $\frac{\partial^2\mathbf{N}}{\partial \xi_1 \partial \xi_2} = \frac{\partial^2\mathbf{N}}{\partial L_3^2}-\frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_3}- \frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_3}+\frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_2}$ . For Simplex tetrahedral elements there are four area coordinates which are a function of $\xi_1$ , $\xi_2$ and $\xi_3$ : $L_1 = 1 - \xi_1$ , $L_2 = 1 - \xi_2$ , $L_3 = 1 - \xi_3$ and $L_4 = \xi_1 + \xi_2 + \xi_3 - 1$ . The derivatives wrt to external coordinates are then given by $\frac{\partial \mathbf{N}}{\partial\xi_1}=\frac{\partial\mathbf(x)}{\partial L_4}- \frac{\partial \mathbf{N}}{\partial L_1}$ , $\frac{\partial \mathbf{N}}{\partial\xi_2}=\frac{\partial\mathbf(x)}{\partial L_4}- \frac{\partial \mathbf{N}}{\partial L_2}$ , $\frac{\partial \mathbf{N}}{\partial\xi_3}=\frac{\partial\mathbf(x)}{\partial L_4}- \frac{\partial \mathbf{N}}{\partial L_3}$ , $\frac{\partial^2\mathbf{N}}{\partial \xi_1^2} = \frac{\partial^2\mathbf{N}}{\partial L_1^2}- 2\frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_4}+\frac{\partial^2\mathbf{N}}{\partial L_4^2}$ , $\frac{\partial^2\mathbf{N}}{\partial \xi_2^2} = \frac{\partial^2\mathbf{N}}{\partial L_2^2}- 2\frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_4}+\frac{\partial^2\mathbf{N}}{\partial L_4^2}$ $\frac{\partial^2\mathbf{N}}{\partial \xi_3^2} = \frac{\partial^2\mathbf{N}}{\partial L_3^2}- 2\frac{\partial^2\mathbf{N}}{\partial L_3 \partial L_4}+\frac{\partial^2\mathbf{N}}{\partial L_4^2}$ , $\frac{\partial^2\mathbf{N}}{\partial\xi_1\partial \xi_2}=\frac{\partial^2\mathbf{N}}{\partial L_4^2}- \frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_4}-\frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_4}+ \frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_2}$ , $\frac{\partial^2\mathbf{N}}{\partial\xi_1\partial\xi_3}=\frac{\partial^2\mathbf{N}}{\partial L_4^2}- \frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_4}-\frac{\partial^2\mathbf{N}}{\partial L_3 \partial L_4}+ \frac{\partial^2\mathbf{N}}{\partial L_1 \partial L_3}$ , $\frac{\partial^2\mathbf{N}}{\partial\xi_2\partial\xi_3}=\frac{\partial^2\mathbf{N}}{\partial L_4^2}- \frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_4}-\frac{\partial^2\mathbf{N}}{\partial L_3 \partial L_4}+ \frac{\partial^2\mathbf{N}}{\partial L_2 \partial L_3}$ and $\frac{\partial^3\mathbf{N}}{\partial \xi_1 \partial \xi_2 \partial \xi_3} = \frac{\partial^3\mathbf{N}}{\partial L_4^3}- \frac{\partial^3\mathbf{N}}{\partial L_1 \partial L_4^2}-\frac{\partial^3\mathbf{N}}{\partial L_2 \partial L_4^2}- \frac{\partial^3\mathbf{N}}{\partial L_3 \partial L_4^2}+\frac{\partial^3\mathbf{N}}{\partial L_1 \partial 2 \partial L_4}+ \frac{\partial^3\mathbf{N}}{\partial L_1 \partial L_3 \partial L_4}+\frac{\partial^3\mathbf{N}}{\partial L_2 \partial L_3 \partial L_4}-\frac{\partial^3\mathbf{N}}{\partial L_1 \partial L_2 \partial L_3}$ . More...

real(dp) function	basis_routines::basis_simplex_basis_derivative_evaluate (BASIS, NODE_NUMBER, PARTIAL_DERIV_INDEX, XL, ERR, ERROR)
	Evaluates partial derivatives of a simplex basis function with respect to area coordinates. More...

subroutine	basis_routines::basis_sub_basis_create (PARENT_BASIS, NUMBER_OF_XI, XI_DIRECTIONS, SUB_BASIS, ERR, ERROR,)
	Creates a sub-basis on a parent basis. More...

subroutine, public	basis_routines::basis_type_get (BASIS, TYPE, ERR, ERROR,)
	get the type for a basis is identified by a a pointer. More...

subroutine	basis_routines::basis_type_set_number (USER_NUMBER, TYPE, ERR, ERROR,)
	Sets/changes the type for a basis is identified by a user number. More...

subroutine	basis_routines::basis_type_set_ptr (BASIS, TYPE, ERR, ERROR,)
	Sets/changes the type for a basis is identified by a a pointer. More...

subroutine, public	basis_routines::basis_collapsed_xi_get (BASIS, COLLAPSED_XI, ERR, ERROR,)
	Gets the collapsed xi flags for a basis is identified by a a pointer. More...

subroutine	basis_routines::basis_collapsed_xi_set_number (USER_NUMBER, COLLAPSED_XI, ERR, ERROR,)
	Sets/changes the collapsed xi flags for a basis is identified by a user number. More...

subroutine	basis_routines::basis_collapsed_xi_set_ptr (BASIS, COLLAPSED_XI, ERR, ERROR,)
	Sets/changes the collapsed xi flags for a basis is identified by a a pointer. More...

subroutine, public	basis_routines::basis_user_number_find (USER_NUMBER, BASIS, ERR, ERROR,)
	Finds and returns in BASIS a pointer to the basis with the number given in USER_NUMBER. If no basis with that number exits BASIS is left nullified. More...

subroutine	basis_routines::gauss_legendre (N, ALPHA, BETA, X, W, ERR, ERROR,)
	This routine calculates the weights and abscissae for a Gauss-Legendre quadrature scheme. More...

subroutine	basis_routines::gauss_simplex (ORDER, NUMBER_OF_VERTICES, N, X, W, ERR, ERROR,)
	This routine calculates the weights and abscissae for a Gauss quadrature scheme for simplex elements. More...

real(dp) function	basis_routines::hermite_cubic_evaluate (NODE_INDEX, NODE_DERIVATIVE_INDEX, PARTIAL_DERIVATIVE_INDEX, XI, ERR, ERROR)
	Evaluates a 1D cubic Hermite basis function. More...

real(dp) function	basis_routines::hermite_quadratic_evaluate (NODE_INDEX, NODE_DERIVATIVE_INDEX, PARTIAL_DERIVATIVE_INDEX, SPECIAL_NODE_INDEX, XI, ERR, ERROR)
	Evaluates a 1D quadratic Hermite basis function. More...

real(dp) function	basis_routines::lagrange_cubic_evaluate (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XI, ERR, ERROR)
	Evaluates a 1D cubic Lagrange basis function. More...

real(dp) function	basis_routines::lagrange_linear_evaluate (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XI, ERR, ERROR)
	Evaluates a 1D linear Lagrange basis function. More...

real(dp) function	basis_routines::lagrange_quadratic_evaluate (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XI, ERR, ERROR)
	Evaluates a 1D quadratic Lagrange basis function. More...

real(dp) function	basis_routines::simplex_cubic_evaluate_dp (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XL, ERR, ERROR)
	Evaluates a cubic simpelx basis function at a specificed area position and node index and with a given partial derivative index with respect to area coordinates for double precision arguments. More...

real(dp) function	basis_routines::simplex_linear_evaluate_dp (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XL, ERR, ERROR)
	Evaluates a linear simpelx basis function at a specificed area position and node index and with a given partial derivative index with respect to area coordinates for double precision arguments. More...

real(dp) function	basis_routines::simplex_quadratic_evaluate_dp (NODE_INDEX, PARTIAL_DERIVATIVE_INDEX, XL, ERR, ERROR)
	Evaluates a quadratic simpelx basis function at a specificed area position and node index and with a given partial derivative index with respect to area coordinates for double precision arguments. More...

Variables
integer(intg), parameter, public	basis_routines::basis_lagrange_hermite_tp_type =1
	Lagrange-Hermite tensor product basis type. More...

integer(intg), parameter, public	basis_routines::basis_simplex_type =2
	Simplex basis type. More...

integer(intg), parameter, public	basis_routines::basis_serendipity_type =3
	Serendipity basis type. More...

integer(intg), parameter, public	basis_routines::basis_auxilliary_type =4
	Auxillary basis type. More...

integer(intg), parameter, public	basis_routines::basis_b_spline_tp_type =5
	B-spline basis type. More...

integer(intg), parameter, public	basis_routines::basis_fourier_lagrange_hermite_tp_type =6
	Fourier-Lagrange tensor product basis type. More...

integer(intg), parameter, public	basis_routines::basis_extended_lagrange_tp_type =7
	Extendend Lagrange tensor product basis type. More...

integer(intg), parameter, public	basis_routines::basis_radial_type =7
	Radial basis typee. More...

integer(intg), parameter, public	basis_routines::basis_linear_lagrange_interpolation =1
	Linear Lagrange interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_quadratic_lagrange_interpolation =2
	Quadratic Lagrange interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_cubic_lagrange_interpolation =3
	Cubic Lagrange interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_cubic_hermite_interpolation =4
	Cubic Hermite interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_quadratic1_hermite_interpolation =5
	Quadratic Hermite (no derivative at xi=0) interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_quadratic2_hermite_interpolation =6
	Quadratic Hermite (no derivative at xi=1) interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_linear_simplex_interpolation =7
	Linear Simplex interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_quadratic_simplex_interpolation =8
	Quadratic Simplex interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_cubic_simplex_interpolation =9
	Cubic Simplex interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_gaussian_radial_interpolation =10
	Gaussian Radial interpolation specification. More...

integer(intg), parameter, public	basis_routines::basis_multiquartic_radial_interpolation =11
	Multiquartic Radial interpolation specification. More...

integer(intg), parameter	basis_routines::basis_lagrange_interpolation =1
	Lagrange interpolation. More...

integer(intg), parameter	basis_routines::basis_hermite_interpolation =2
	Hermite interpolation. More...

integer(intg), parameter	basis_routines::basis_simplex_interpolation =3
	Simplex interpolation. More...

integer(intg), parameter	basis_routines::basis_serendipity_interpolation =4
	Serendipity interpolation. More...

integer(intg), parameter	basis_routines::basis_transition_interpolation =5
	Transition interpolation. More...

integer(intg), parameter	basis_routines::basis_singular_interpolation =6
	Singular interpolation. More...

integer(intg), parameter	basis_routines::basis_fourier_interpolation =7
	Fourier interpolation. More...

integer(intg), parameter	basis_routines::basis_radial_interpolation =8
	Radial interpolation. More...

integer(intg), parameter, public	basis_routines::basis_linear_interpolation_order =1
	Linear interpolation order. More...

integer(intg), parameter, public	basis_routines::basis_quadratic_interpolation_order =2
	Quadratic interpolation order. More...

integer(intg), parameter, public	basis_routines::basis_cubic_interpolation_order =3
	Cubic interpolation order. More...

integer(intg), parameter, public	basis_routines::basis_quadratic1_interpolation_order =4
	Quadratic (no derivative at xi=0) interpolation order. More...

integer(intg), parameter, public	basis_routines::basis_quadratic2_interpolation_order =5
	Quadratic (no derivative at xi=1) interpolation order. More...

integer(intg), parameter	basis_routines::basis_number_of_quadrature_scheme_types =4
	The number of currently defined quadrature schemes. More...

integer(intg), parameter, public	basis_routines::basis_default_quadrature_scheme =1
	Identifier for the default quadrature scheme. More...

integer(intg), parameter, public	basis_routines::basis_low_quadrature_scheme =2
	Identifier for a low order quadrature scheme. More...

integer(intg), parameter, public	basis_routines::basis_mid_quadrature_scheme =3
	Identifier for a mid order quadrature scheme. More...

integer(intg), parameter, public	basis_routines::basis_high_quadrature_scheme =4
	Identifier for a high order quadrature scheme. More...

integer(intg), parameter, public	basis_routines::basis_gauss_legendre_quadrature =1
	Gauss-Legendre quadrature. More...

integer(intg), parameter, public	basis_routines::basis_gauss_laguerre_quadrature =2
	Gauss-Laguerre quadrature. More...

integer(intg), parameter, public	basis_routines::basis_guass_hermite_quadrature =3
	Gauss-Hermite quadrature. More...

integer(intg), parameter, public	basis_routines::basis_adaptive_gauss_legendre_quadrature =4
	Adaptive Gauss-Legendre quadrature. More...

integer(intg), parameter, public	basis_routines::basis_gauss_simplex_quadrature =5
	Gauss-Legendre for Simplex elements quadrature. More...

integer(intg), parameter, public	basis_routines::basis_xi_collapsed =1
	The Xi direction is collapsed. More...

integer(intg), parameter, public	basis_routines::basis_collapsed_at_xi0 =2
	The Xi direction at the xi=0 end of this Xi direction is collapsed. More...

integer(intg), parameter, public	basis_routines::basis_collapsed_at_xi1 =3
	The Xi direction at the xi=1 end of this Xi direction is collapsed. More...

integer(intg), parameter, public	basis_routines::basis_not_collapsed =4
	The Xi direction is not collapsed. More...

type(basis_functions_type), public	basis_routines::basis_functions
	The tree of defined basis functions. More...

Detailed Description

This module contains all basis function routines.

Author: Chris Bradley

LICENSE

Version: MPL 1.1/GPL 2.0/LGPL 2.1

The contents of this file are subject to the Mozilla Public License Version 1.1 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.mozilla.org/MPL/

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Definition in file basis_routines.f90.

Data Types

Modules

Functions/Subroutines

Variables

Detailed Description

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