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* the description of the '''abstract problem''': this should be done via the Unified Form Language ('''UFL'''), which is ''a domain specific language for defining discrete variational forms and functionals in a notation '''close to pen-and-paper formulation'''.'' UFL is easy to learn, and in any case the User manual provides explanations and examples. [http://fenicsproject.org/documentation/ufl/1.2.0/user/user_manual.html#ufl-user-manual] As mentioned before, the problem can be defined in a separate .ufl file or handled directly in an m-file using ufl blocks.
* the description of the '''abstract problem''': this should be done via the Unified Form Language ('''UFL'''), which is ''a domain specific language for defining discrete variational forms and functionals in a notation '''close to pen-and-paper formulation'''.'' UFL is easy to learn, and in any case the User manual provides explanations and examples. [http://fenicsproject.org/documentation/ufl/1.2.0/user/user_manual.html#ufl-user-manual] As mentioned before, the problem can be defined in a separate .ufl file or handled directly in an m-file using ufl blocks.
* the implementation of a '''specific problem''', an instance of the abstract one: this is done in a script file ('''.m''') where the fem-fenics functions are used and the problem is solved. Their '''syntax is as close as possible to the python interface''', so that Fenics users should be comfortable with it, but it is also quite intuitive for beginners. The examples below show the equivalence between the different programming languages.
* the implementation of a '''specific problem''', an instance of the abstract one: this is done in a script file ('''.m''') where the fem-fenics functions are used and the problem is solved. Their '''syntax is as close as possible to the python interface''', so that Fenics users should be comfortable with it, but it is also quite intuitive for beginners. The examples below show the equivalence between the different programming languages.


=== Poisson Equation ===
=== Poisson Equation ===
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