sfc_callbacks::callback_forms Namespace Reference


Functions

def constant_scalar
def L2_scalar
def H1_semi_scalar
def H1_scalar
def constant_vector
def constant_source_vector
def source_vector
def load_vector
def constant_matrix
def mass_matrix
def mass_with_c_matrix
def stiffness_matrix
def stiffness_with_M_matrix
def mass_boundary_matrix
def check
def form_name

Variables

list scalar_forms = [constant_scalar, L2_scalar, H1_semi_scalar, H1_scalar]
list vector_forms = [constant_vector, constant_source_vector, source_vector]
list matrix_forms = [constant_matrix, mass_matrix, mass_with_c_matrix, stiffness_matrix, stiffness_with_M_matrix]
tuple args = set(sys.argv[1:])
string print_forms = "p"
string generate = "g"
string compile = "c"
int quad_order = 3
int formcount = 0
dictionary polygon = { 2: "triangle", 3: "tetrahedron" }
tuple fe0 = FiniteElement("P0", polygon, 0)
tuple fe1 = FiniteElement("Lagrange", polygon, 1)
tuple fe2 = FiniteElement("Lagrange", polygon, 2)
list scalar_elements = [fe0, fe1, fe2]
tuple vfe0 = VectorElement("P0", polygon, 0)
tuple vfe1 = VectorElement("Lagrange", polygon, 1)
tuple vfe2 = VectorElement("Lagrange", polygon, 2)
list vector_elements = [vfe0, vfe1, vfe2]
tuple tfe0 = TensorElement("P0", polygon, 0)
tuple tfe1 = TensorElement("Lagrange", polygon, 1)
tuple tfe2 = TensorElement("Lagrange", polygon, 2)
list tensor_elements = [tfe0, tfe1, tfe2]
 all_elements = scalar_elements+vector_elements+tensor_elements
dictionary options = { "symbolic": symbolic, "quad_order": quad_order }
 callback = L2_scalar
list basisfunctions = []
list coefficients = [Function(fe)]
tuple form = Form(name=form_name(callback), basisfunctions=basisfunctions, coefficients=coefficients, cell_integrands=[callback], options=options)

Function Documentation

def sfc_callbacks::callback_forms::check (   form  ) 

Definition at line 116 of file callback_forms.py.

00116                    :
00117         form.sanity_check()
00118         if print_forms:
00119             print form
00120         if generate or compile:
00121             if compile:
00122                 compiled_form = compile_form(form)
00123                 print "Successfully compiled form:"
00124                 print compiled_form
00125                 print dir(compiled_form)
00126             else:
00127                 res = write_ufc_code(form)
00128                 print "Successfully generated form code:"
00129                 print res
00130 
    quad_order = 3

def sfc_callbacks::callback_forms::constant_matrix (   v,
  u,
  itg 
)

a(v, u; ) = \int 1 dx

Definition at line 64 of file callback_forms.py.

00064                               :
00065     """a(v, u; ) = \int 1 dx"""
00066     return numeric(1)
00067 
def mass_matrix(v, u, itg):

def sfc_callbacks::callback_forms::constant_scalar (   itg  ) 

a(;) = \int 1 dx

Definition at line 12 of file callback_forms.py.

00012                         :
00013     """a(;) = \int 1 dx"""
00014     return numeric(1)
00015 
def L2_scalar(w, itg):

def sfc_callbacks::callback_forms::constant_source_vector (   v,
  itg 
)

a(v;) = \int v dx

Definition at line 42 of file callback_forms.py.

00042                                   :
00043     """a(v;) = \int v dx"""
00044     return v
00045 
def source_vector(v, f, itg):

def sfc_callbacks::callback_forms::constant_vector (   v,
  itg 
)

a(v;) = \int 1 dx

Definition at line 38 of file callback_forms.py.

00038                            :
00039     """a(v;) = \int 1 dx"""
00040     return numeric(1)
00041 
def constant_source_vector(v, itg):

def sfc_callbacks::callback_forms::form_name (   callback  ) 

Definition at line 134 of file callback_forms.py.

00134                            :
00135         global formcount
00136         name = "form_%s_%d" % (get_callable_name(callback), formcount)
00137         formcount += 1
00138         return name
00139 
    for nsd in [2, 3]:

def sfc_callbacks::callback_forms::H1_scalar (   w,
  itg 
)

a(;w) = \int w^2 + grad(w)^2 dx

Definition at line 26 of file callback_forms.py.

00026                      :
00027     """a(;w) = \int w^2 + grad(w)^2 dx"""
00028     GinvT = itg.GinvT()
00029     Dw = grad(w, GinvT)
00030     return inner(w, w) + inner(Dw, Dw)
00031 
scalar_forms = [constant_scalar, L2_scalar, H1_semi_scalar, H1_scalar]

def sfc_callbacks::callback_forms::H1_semi_scalar (   w,
  itg 
)

a(;w) = \int grad(w)^2 dx

Definition at line 20 of file callback_forms.py.

00020                           :
00021     """a(;w) = \int grad(w)^2 dx"""
00022     GinvT = itg.GinvT()
00023     Dw = grad(w, GinvT)
00024     return inner(Dw, Dw)
00025 
def H1_scalar(w, itg):

def sfc_callbacks::callback_forms::L2_scalar (   w,
  itg 
)

a(;w) = \int w^2 dx

Definition at line 16 of file callback_forms.py.

00016                      :
00017     """a(;w) = \int w^2 dx"""
00018     return inner(w, w)
00019 
def H1_semi_scalar(w, itg):

def sfc_callbacks::callback_forms::load_vector (   v,
  t,
  itg 
)

a(v; t) = \int t . v dx

Definition at line 57 of file callback_forms.py.

00057                           :
00058     """a(v; t) = \int t . v dx"""
00059     return inner(t, v)
00060 
00061 
00062 # ----------------------------------------------- Matrix forms:
00063 
def constant_matrix(v, u, itg):

def sfc_callbacks::callback_forms::mass_boundary_matrix (   v,
  u,
  itg 
)

a(v, u; ) = \int u . v ds

Definition at line 94 of file callback_forms.py.

00094                                    :
00095     """a(v, u; ) = \int u . v ds"""
00096     return inner(v, u)
00097 
00098 
00099 
00100 # ----------------------------------------------- Testing:
00101 
00102 
if __name__ == "__main__":

def sfc_callbacks::callback_forms::mass_matrix (   v,
  u,
  itg 
)

a(v, u; ) = \int u . v dx

Definition at line 68 of file callback_forms.py.

00068                           :
00069     """a(v, u; ) = \int u . v dx"""
00070     return inner(v, u)
00071 
def mass_with_c_matrix(v, u, c, itg):

def sfc_callbacks::callback_forms::mass_with_c_matrix (   v,
  u,
  c,
  itg 
)

a(v, u; c) = \int c (u . v) dx

Definition at line 72 of file callback_forms.py.

00072                                     :
00073     """a(v, u; c) = \int c (u . v) dx"""
00074     return c * inner(v, u)
00075 
def stiffness_matrix(v, u, itg):

def sfc_callbacks::callback_forms::source_vector (   v,
  f,
  itg 
)

a(v; f) = \int f . v dx

Definition at line 46 of file callback_forms.py.

00046                             :
00047     """a(v; f) = \int f . v dx"""
00048     return inner(f, v)
00049 
00050 
vector_forms = [constant_vector, constant_source_vector, source_vector]

def sfc_callbacks::callback_forms::stiffness_matrix (   v,
  u,
  itg 
)

Definition at line 76 of file callback_forms.py.

00076                                :
00077     GinvT = itg.GinvT()
00078     Du = grad(u, GinvT)
00079     Dv = grad(v, GinvT)
00080     return inner(Du, Dv)
00081 
def stiffness_with_M_matrix(v, u, M, itg):

def sfc_callbacks::callback_forms::stiffness_with_M_matrix (   v,
  u,
  M,
  itg 
)

Definition at line 82 of file callback_forms.py.

00082                                          :
00083     GinvT = itg.GinvT()
00084     Du = grad(u, GinvT)
00085     Dv = grad(v, GinvT)
00086     return inner(M * Du, Dv)
00087 
matrix_forms = [constant_matrix, mass_matrix, mass_with_c_matrix, stiffness_matrix, stiffness_with_M_matrix]


Variable Documentation

Definition at line 164 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::args = set(sys.argv[1:])

Definition at line 110 of file callback_forms.py.

Definition at line 179 of file callback_forms.py.

Definition at line 178 of file callback_forms.py.

Definition at line 180 of file callback_forms.py.

Definition at line 114 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::fe0 = FiniteElement("P0", polygon, 0)

Definition at line 144 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::fe1 = FiniteElement("Lagrange", polygon, 1)

Definition at line 145 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::fe2 = FiniteElement("Lagrange", polygon, 2)

Definition at line 146 of file callback_forms.py.

Referenced by check_CrouzeixRaviart(), and main().

Definition at line 181 of file callback_forms.py.

Definition at line 133 of file callback_forms.py.

Definition at line 113 of file callback_forms.py.

list sfc_callbacks::callback_forms::matrix_forms = [constant_matrix, mass_matrix, mass_with_c_matrix, stiffness_matrix, stiffness_with_M_matrix]

Definition at line 88 of file callback_forms.py.

dictionary sfc_callbacks::callback_forms::options = { "symbolic": symbolic, "quad_order": quad_order }

Definition at line 170 of file callback_forms.py.

dictionary sfc_callbacks::callback_forms::polygon = { 2: "triangle", 3: "tetrahedron" }

Definition at line 141 of file callback_forms.py.

Definition at line 112 of file callback_forms.py.

Definition at line 131 of file callback_forms.py.

Definition at line 147 of file callback_forms.py.

list sfc_callbacks::callback_forms::scalar_forms = [constant_scalar, L2_scalar, H1_semi_scalar, H1_scalar]

Definition at line 32 of file callback_forms.py.

Definition at line 157 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::tfe0 = TensorElement("P0", polygon, 0)

Definition at line 154 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::tfe1 = TensorElement("Lagrange", polygon, 1)

Definition at line 155 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::tfe2 = TensorElement("Lagrange", polygon, 2)

Definition at line 156 of file callback_forms.py.

Definition at line 152 of file callback_forms.py.

list sfc_callbacks::callback_forms::vector_forms = [constant_vector, constant_source_vector, source_vector]

Definition at line 51 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::vfe0 = VectorElement("P0", polygon, 0)

Definition at line 149 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::vfe1 = VectorElement("Lagrange", polygon, 1)

Definition at line 150 of file callback_forms.py.

tuple sfc_callbacks::callback_forms::vfe2 = VectorElement("Lagrange", polygon, 2)

Definition at line 151 of file callback_forms.py.


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