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test_gradient.cc
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Created
Mon, Aug 19, 23:23
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5 KB
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text/x-c
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Wed, Aug 21, 23:23 (1 d, 23 h)
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rAKA akantu
test_gradient.cc
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/**
* @file test_gradient.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
*
* @brief test the gradient computation for the igfem elements
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "fe_engine.hh"
#include "integrator_gauss_igfem.hh"
#include "shape_igfem.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
bool
gradient
(
const
ElementType
type
);
void
generateIGFEMMesh
(
const
ElementType
type
,
Mesh
&
mesh
,
const
std
::
string
&
filename
);
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
argc
,
argv
);
debug
::
setDebugLevel
(
dblTest
);
bool
test_passed
=
false
;
/// integrate test of _igfem_triangle_4
AKANTU_DEBUG_INFO
(
"integrating _igfem_triangle_4..."
);
test_passed
=
gradient
(
_igfem_triangle_4
);
if
(
!
test_passed
)
{
finalize
();
return
EXIT_FAILURE
;
}
/// integrate test of _igfem_triangle_5
AKANTU_DEBUG_INFO
(
"integrating _igfem_triangle_5..."
);
test_passed
=
gradient
(
_igfem_triangle_5
);
if
(
!
test_passed
)
{
finalize
();
return
EXIT_FAILURE
;
}
finalize
();
return
EXIT_SUCCESS
;
}
/* -------------------------------------------------------------------------- */
bool
gradient
(
const
ElementType
type
)
{
bool
correct_result
=
true
;
Int
dim
=
2
;
std
::
stringstream
mesh_info
;
mesh_info
<<
"mesh_info"
<<
type
<<
".txt"
;
Mesh
my_mesh
(
dim
);
generateIGFEMMesh
(
type
,
my_mesh
,
mesh_info
.
str
());
Real
eps
=
3e-13
;
std
::
cout
<<
"Epsilon : "
<<
eps
<<
std
::
endl
;
FEEngineTemplate
<
IntegratorGauss
,
ShapeLagrange
,
_ek_igfem
>
*
fem
=
new
FEEngineTemplate
<
IntegratorGauss
,
ShapeLagrange
,
_ek_igfem
>
(
my_mesh
,
dim
,
"my_fem"
);
fem
->
initShapeFunctions
();
Real
alpha
[
2
][
3
]
=
{{
13
,
23
,
31
},
{
11
,
7
,
5
}};
/// create the 2 component field
/// for field to be constant the enriched values need to be zero!! Therefore
/// non-zero values
/// are only imposed on standard nodes
UInt
nb_standard_nodes
=
9
;
const
Array
<
Real
>
&
position
=
fem
->
getMesh
().
getNodes
();
Array
<
Real
>
const_val
(
fem
->
getMesh
().
getNbNodes
(),
2
,
"const_val"
);
UInt
nb_element
=
my_mesh
.
getNbElement
(
type
);
UInt
nb_quadrature_points
=
fem
->
getNbIntegrationPoints
(
type
)
*
nb_element
;
Array
<
Real
>
grad_on_quad
(
nb_quadrature_points
,
2
*
dim
,
"grad_on_quad"
);
for
(
Int
i
=
0
;
i
<
nb_standard_nodes
;
++
i
)
{
const_val
(
i
,
0
)
=
0
;
const_val
(
i
,
1
)
=
0
;
for
(
Int
d
=
0
;
d
<
dim
;
++
d
)
{
const_val
(
i
,
0
)
+=
alpha
[
0
][
d
]
*
position
(
i
,
d
);
const_val
(
i
,
1
)
+=
alpha
[
1
][
d
]
*
position
(
i
,
d
);
}
}
/// impose zero at enriched nodes
for
(
Int
i
=
nb_standard_nodes
;
i
<
const_val
.
getSize
();
++
i
)
{
const_val
(
i
,
0
)
=
0
;
const_val
(
i
,
1
)
=
0
;
}
/// compute the gradient
fem
->
gradientOnIntegrationPoints
(
const_val
,
grad_on_quad
,
2
,
type
);
std
::
cout
<<
"Linear array on nodes : "
<<
const_val
<<
std
::
endl
;
std
::
cout
<<
"Gradient on quad : "
<<
grad_on_quad
<<
std
::
endl
;
/// check the results
Array
<
Real
>::
matrix_iterator
it
=
grad_on_quad
.
begin
(
2
,
dim
);
Array
<
Real
>::
matrix_iterator
it_end
=
grad_on_quad
.
end
(
2
,
dim
);
for
(;
it
!=
it_end
;
++
it
)
{
for
(
Int
d
=
0
;
d
<
dim
;
++
d
)
{
Matrix
<
Real
>
&
grad
=
*
it
;
if
(
!
(
std
::
abs
(
grad
(
0
,
d
)
-
alpha
[
0
][
d
])
<
eps
)
||
!
(
std
::
abs
(
grad
(
1
,
d
)
-
alpha
[
1
][
d
])
<
eps
))
{
std
::
cout
<<
"Error gradient is not correct "
<<
(
*
it
)(
0
,
d
)
<<
" "
<<
alpha
[
0
][
d
]
<<
" ("
<<
std
::
abs
((
*
it
)(
0
,
d
)
-
alpha
[
0
][
d
])
<<
")"
<<
" - "
<<
(
*
it
)(
1
,
d
)
<<
" "
<<
alpha
[
1
][
d
]
<<
" ("
<<
std
::
abs
((
*
it
)(
1
,
d
)
-
alpha
[
1
][
d
])
<<
")"
<<
" - "
<<
d
<<
std
::
endl
;
std
::
cout
<<
*
it
<<
std
::
endl
;
correct_result
=
false
;
return
correct_result
;
}
}
}
// compute gradient of coordinates
Array
<
Real
>
grad_coord_on_quad
(
nb_quadrature_points
,
dim
*
dim
,
"grad_coord_on_quad"
);
/// create an array with the nodal coordinates that need to be
/// interpolated. The nodal coordinates of the enriched nodes need
/// to be set to zero, because they represent the enrichment of the
/// position field, and the enrichments for this field are all zero!
/// There is no gap in the mesh!
Array
<
Real
>
igfem_nodes
(
my_mesh
.
getNbNodes
(),
dim
);
const
ShapeLagrange
<
_ek_igfem
>
&
shapes
=
fem
->
getShapeFunctions
();
shapes
.
extractValuesAtStandardNodes
(
my_mesh
.
getNodes
(),
igfem_nodes
,
_not_ghost
);
fem
->
gradientOnIntegrationPoints
(
igfem_nodes
,
grad_coord_on_quad
,
my_mesh
.
getSpatialDimension
(),
type
);
std
::
cout
<<
"Node positions : "
<<
my_mesh
.
getNodes
()
<<
std
::
endl
;
std
::
cout
<<
"Gradient of nodes : "
<<
grad_coord_on_quad
<<
std
::
endl
;
Array
<
Real
>::
matrix_iterator
itp
=
grad_coord_on_quad
.
begin
(
dim
,
dim
);
Array
<
Real
>::
matrix_iterator
itp_end
=
grad_coord_on_quad
.
end
(
dim
,
dim
);
for
(;
itp
!=
itp_end
;
++
itp
)
{
for
(
Int
i
=
0
;
i
<
dim
;
++
i
)
{
for
(
Int
j
=
0
;
j
<
dim
;
++
j
)
{
if
(
!
(
std
::
abs
((
*
itp
)(
i
,
j
)
-
(
i
==
j
))
<
eps
))
{
std
::
cout
<<
*
itp
<<
std
::
endl
;
correct_result
=
false
;
return
correct_result
;
}
}
}
}
delete
fem
;
return
correct_result
;
}
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