<s>
The	O
FEniCS	B-Language
Project	I-Language
is	O
a	O
collection	O
of	O
free	B-License
and	I-License
open-source	I-License
software	I-License
components	O
with	O
the	O
common	O
goal	O
to	O
enable	O
automated	O
solution	O
of	O
differential	O
equations	O
.	O
</s>
<s>
finite-element	B-Application
variational	B-Algorithm
formulations	I-Algorithm
of	O
ordinary	O
and	O
partial	O
differential	O
equations	O
,	O
and	O
numerical	O
linear	O
algebra	O
.	O
</s>
<s>
The	O
FEniCS	B-Language
Project	I-Language
is	O
designed	O
as	O
an	O
umbrella	O
project	O
for	O
a	O
collection	O
of	O
interoperable	O
components	O
.	O
</s>
<s>
UFL	O
(	O
Unified	O
Form	O
Language	O
)	O
,	O
a	O
domain-specific	B-Language
language	I-Language
embedded	O
in	O
Python	B-Language
for	O
specifying	O
finite	B-Application
element	I-Application
discretizations	O
of	O
differential	O
equations	O
in	O
terms	O
of	O
finite	B-Application
element	I-Application
variational	O
forms	O
;	O
</s>
<s>
FIAT	O
(	O
Finite	B-Application
element	I-Application
Automatic	O
Tabulator	O
)	O
,	O
the	O
finite	B-Application
element	I-Application
backend	O
of	O
FEniCS	B-Language
,	O
a	O
Python	B-Language
module	O
for	O
generation	O
of	O
arbitrary	O
order	O
finite	B-Application
element	I-Application
basis	O
functions	O
on	O
simplices	O
;	O
</s>
<s>
FFC	O
(	O
FEniCS	B-Language
Form	O
Compiler	B-Language
)	O
,	O
a	O
compiler	B-Language
for	O
finite	B-Application
element	I-Application
variational	O
forms	O
taking	O
UFL	O
code	O
as	O
input	O
and	O
generating	O
UFC	O
output	O
;	O
</s>
<s>
UFC	O
(	O
Unified	O
Form-assembly	O
Code	O
)	O
,	O
a	O
C++	B-Language
interface	O
consisting	O
of	O
low-level	O
functions	O
for	O
evaluating	O
and	O
assembling	O
finite	B-Application
element	I-Application
variational	O
forms	O
;	O
</s>
<s>
Instant	O
,	O
a	O
Python	B-Language
module	O
for	O
inlining	O
C	B-Language
and	O
C++	B-Language
code	I-Language
in	O
Python	B-Language
;	O
</s>
<s>
DOLFIN	O
,	O
a	O
C++	B-Language
/Python	O
library	O
providing	O
data	O
structures	O
and	O
algorithms	O
for	O
finite	B-Application
element	I-Application
meshes	O
,	O
automated	O
finite	B-Application
element	I-Application
assembly	O
,	O
and	O
numerical	O
linear	O
algebra	O
.	O
</s>
<s>
DOLFIN	O
,	O
the	O
computational	O
high-performance	O
C++	B-Language
backend	O
of	O
FEniCS	B-Language
,	O
functions	O
as	O
the	O
main	O
problem-solving	O
environment	O
(	O
in	O
both	O
C++	B-Language
and	O
Python	B-Language
)	O
and	O
user	O
interface	O
.	O
</s>
<s>
Its	O
functionality	O
integrates	O
the	O
other	O
FEniCS	B-Language
components	O
and	O
handles	O
communication	O
with	O
external	O
libraries	O
such	O
as	O
PETSc	B-Language
,	O
Trilinos	B-Language
and	O
Eigen	B-Language
for	O
numerical	O
linear	O
algebra	O
,	O
ParMETIS	O
and	O
SCOTCH	O
for	O
mesh	O
partitioning	O
,	O
and	O
MPI	B-Application
and	O
OpenMP	B-Application
for	O
distributed	O
computing	O
.	O
</s>
<s>
The	O
FEniCS	B-Language
Project	I-Language
was	O
initiated	O
in	O
2003	O
as	O
a	O
research	O
collaboration	O
between	O
the	O
University	O
of	O
Chicago	O
and	O
Chalmers	O
University	O
of	O
Technology	O
.	O
</s>
