/usr/lib/python2.7/dist-packages/FIAT/discontinuous.py is in python-fiat 2016.2.0-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 | # Copyright (C) 2014 Andrew T. T. McRae (Imperial College London)
#
# This file is part of FIAT.
#
# FIAT is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# FIAT is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with FIAT. If not, see <http://www.gnu.org/licenses/>.
from __future__ import absolute_import, print_function, division
from FIAT.finite_element import CiarletElement
from FIAT.dual_set import DualSet
class DiscontinuousElement(CiarletElement):
"""A copy of an existing element where all dofs are associated with the cell"""
def __init__(self, element):
self._element = element
new_entity_ids = {}
topology = element.get_reference_element().get_topology()
for dim in sorted(topology):
new_entity_ids[dim] = {}
for ent in sorted(topology[dim]):
new_entity_ids[dim][ent] = []
new_entity_ids[dim][0] = list(range(element.space_dimension()))
# re-initialise the dual, so entity_closure_dofs is recalculated
self.dual = DualSet(element.dual_basis(), element.get_reference_element(), new_entity_ids)
# fully discontinuous
self.formdegree = element.get_reference_element().get_spatial_dimension()
def degree(self):
"Return the degree of the (embedding) polynomial space."
return self._element.degree()
def get_reference_element(self):
"Return the reference element for the finite element."
return self._element.get_reference_element()
def get_nodal_basis(self):
"""Return the nodal basis, encoded as a PolynomialSet object,
for the finite element."""
return self._element.get_nodal_basis()
def get_order(self):
"Return the order of the element (may be different from the degree)"
return self._element.get_order()
def get_coeffs(self):
"""Return the expansion coefficients for the basis of the
finite element."""
return self._element.get_coeffs()
def mapping(self):
"""Return a list of appropriate mappings from the reference
element to a physical element for each basis function of the
finite element."""
return self._element.mapping()
def num_sub_elements(self):
"Return the number of sub-elements."
return self._element.num_sub_elements()
def space_dimension(self):
"Return the dimension of the finite element space."
return self._element.space_dimension()
def tabulate(self, order, points, entity=None):
"""Return tabulated values of derivatives up to given order of
basis functions at given points."""
return self._element.tabulate(order, points, entity)
def value_shape(self):
"Return the value shape of the finite element functions."
return self._element.value_shape()
def dmats(self):
"""Return dmats: expansion coefficients for basis function
derivatives."""
return self._element.dmats()
def get_num_members(self, arg):
"Return number of members of the expansion set."
return self._element.get_num_members()
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