BELFEM 0.9.0
Berkeley Lab Finite Element Framework
Loading...
Searching...
No Matches
fn_intpoints_gauss_hex14.hpp
Go to the documentation of this file.
1/*
2 * BELFEM -- The Berkeley Lab Finite Element Framework
3 * Copyright (c) 2026, The Regents of the University of California,
4 * through Lawrence Berkeley National Laboratory (subject to receipt of any required
5 * approvals from the U.S. Dept. of Energy). All rights reserved.
6 *
7 * Developers: Christian Messe, Gregory Giard
8 *
9 * See the top-level LICENSE file for the complete license and disclaimer.
10 */
11
12#ifndef BELFEM_FN_INTPOINTS_GAUSS_HEX14_HPP
13#define BELFEM_FN_INTPOINTS_GAUSS_HEX14_HPP
14#include "typedefs.hpp"
15#include "cl_Vector.hpp"
16#include "cl_Matrix.hpp"
17
18namespace belfem
19{
20 namespace integration
21 {
22// ----------------------------------------------------------------------------
23
24 // source 10.1090/S0025-5718-1958-0102176-6
25 inline void
26 gauss_hex14(
27 Vector <real> & aWeights,
28 Matrix <real> & aPoints )
29 {
30 aWeights.set_size( 14 );
31 aPoints.set_size( 3, 14 ) ;
32
33 aPoints( 0, 0 ) = 0.7958224257542215 ;
34 aPoints( 1, 0 ) = 0.0000000000000000 ;
35 aPoints( 2, 0 ) = 0.0000000000000000 ;
36
37 aPoints( 0, 1 ) = -0.7958224257542215 ;
38 aPoints( 1, 1 ) = 0.0000000000000000 ;
39 aPoints( 2, 1 ) = 0.0000000000000000 ;
40
41 aPoints( 0, 2 ) = 0.0000000000000000 ;
42 aPoints( 1, 2 ) = 0.7958224257542215 ;
43 aPoints( 2, 2 ) = 0.0000000000000000 ;
44
45 aPoints( 0, 3 ) = 0.0000000000000000 ;
46 aPoints( 1, 3 ) = -0.7958224257542215 ;
47 aPoints( 2, 3 ) = 0.0000000000000000 ;
48
49 aPoints( 0, 4 ) = 0.0000000000000000 ;
50 aPoints( 1, 4 ) = 0.0000000000000000 ;
51 aPoints( 2, 4 ) = 0.7958224257542215 ;
52
53 aPoints( 0, 5 ) = 0.0000000000000000 ;
54 aPoints( 1, 5 ) = 0.0000000000000000 ;
55 aPoints( 2, 5 ) = -0.7958224257542215 ;
56
57 aPoints( 0, 6 ) = 0.7587869106393281 ;
58 aPoints( 1, 6 ) = 0.7587869106393281 ;
59 aPoints( 2, 6 ) = 0.7587869106393281 ;
60
61 aPoints( 0, 7 ) = 0.7587869106393281 ;
62 aPoints( 1, 7 ) = 0.7587869106393281 ;
63 aPoints( 2, 7 ) = -0.7587869106393281 ;
64
65 aPoints( 0, 8 ) = 0.7587869106393281 ;
66 aPoints( 1, 8 ) = -0.7587869106393281 ;
67 aPoints( 2, 8 ) = 0.7587869106393281 ;
68
69 aPoints( 0, 9 ) = 0.7587869106393281 ;
70 aPoints( 1, 9 ) = -0.7587869106393281 ;
71 aPoints( 2, 9 ) = -0.7587869106393281 ;
72
73 aPoints( 0, 10 ) = -0.7587869106393281 ;
74 aPoints( 1, 10 ) = 0.7587869106393281 ;
75 aPoints( 2, 10 ) = 0.7587869106393281 ;
76
77 aPoints( 0, 11 ) = -0.7587869106393281 ;
78 aPoints( 1, 11 ) = 0.7587869106393281 ;
79 aPoints( 2, 11 ) = -0.7587869106393281 ;
80
81 aPoints( 0, 12 ) = -0.7587869106393281 ;
82 aPoints( 1, 12 ) = -0.7587869106393281 ;
83 aPoints( 2, 12 ) = 0.7587869106393281 ;
84
85 aPoints( 0, 13 ) = -0.7587869106393281 ;
86 aPoints( 1, 13 ) = -0.7587869106393281 ;
87 aPoints( 2, 13 ) = -0.7587869106393281 ;
88
89 aWeights( 0 ) = 0.8864265927977839 ;
90 aWeights( 1 ) = 0.8864265927977839 ;
91 aWeights( 2 ) = 0.8864265927977839 ;
92 aWeights( 3 ) = 0.8864265927977839 ;
93 aWeights( 4 ) = 0.8864265927977839 ;
94 aWeights( 5 ) = 0.8864265927977839 ;
95 aWeights( 6 ) = 0.3351800554016621 ;
96 aWeights( 7 ) = 0.3351800554016621 ;
97 aWeights( 8 ) = 0.3351800554016621 ;
98 aWeights( 9 ) = 0.3351800554016621 ;
99 aWeights( 10 ) = 0.3351800554016621 ;
100 aWeights( 11 ) = 0.3351800554016621 ;
101 aWeights( 12 ) = 0.3351800554016621 ;
102 aWeights( 13 ) = 0.3351800554016621 ;
103 }
104
105// ----------------------------------------------------------------------------
106 } /* namespace integration */
107} /* namespace belfem */
108
109#endif //BELFEM_FN_INTPOINTS_GAUSS_HEX14_HPP
cl_Matrix.hpp
cl_Vector.hpp
belfem::Matrix::set_size
void set_size(const size_t aNumRows, const size_t aNumCols)
Definition cl_AR_Matrix.hpp:186
belfem::Vector::set_size
void set_size(const size_t aNumRows)
change the size of the vector
Definition cl_AR_Vector.hpp:237
belfem::integration
Definition fn_intpoints.cpp:576
belfem::integration::gauss_hex14
void gauss_hex14(Vector< real > &aWeights, Matrix< real > &aPoints)
Definition fn_intpoints_gauss_hex14.hpp:26
belfem
USER GUIDES:
Definition cl_Capacitor.cpp:16