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https://github.com/kynan/euroscipy2014

Slides from my talk at the EuroSciPy conference 2014
https://github.com/kynan/euroscipy2014

fenics ffc firedrake pyop2 ufl

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Slides from my talk at the EuroSciPy conference 2014

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# Firedrake: a High-level, Portable Finite Element Computation Framework



## https://firedrakeproject.org



## **Florian Rathgeber**1, Lawrence Mitchell1, David Ham1,2, Michael Lange3, Andrew McRae2, Fabio Luporini1, Gheorghe-teodor Bercea1, Paul Kelly1



1 Department of Computing, Imperial College London

2 Department of Mathematics, Imperial College London

3 Department of Earth Science & Engineering, Imperial College London]



Slides from [my talk](https://www.euroscipy.org/2014/schedule/presentation/15/)

at the [EuroSciPy](https://www.euroscipy.org/2014/), Cambridge, UK,

August 29-30 2014: https://kynan.github.io/EuroSciPy2014



### Abstract



In an ideal world, scientific applications are computationally

efficient, maintainable, composable and allow scientists to work very

productively. In this talk we demonstrate that these goals are

achievable for a specific application domain by choosing suitable

domain-specific abstractions implemented in Python that encapsulate

domain knowledge with a high degree of expressiveness.

 

We present a [Firedrake], a high-level Python framework for the portable

solution of partial differential equations on unstructured meshes with

the finite element method widely used in science and engineering.

[Firedrake] is built on top of [PyOP2], a domain-specific language

embedded in Python for parallel mesh-based computations.  Finite element

local assembly operations execute the same computational kernel for

every element of the mesh and is therefore efficiently parallelisable.

 

[Firedrake] allows scientists to describe variational forms and

discretisations for finite element problems symbolically in a notation

very close to the maths using the Unified Form Language [UFL] from the

[FEniCS project]. Variational forms are translated into computational

kernels by the FEniCS Form Compiler [FFC].  Numerical linear algebra is

delegated to PETSc, leveraged via its petsc4py interface.

 

[PyOP2] abstracts away the performance-portable parallel execution of

these kernels on a range of hardware architectures, targeting multi-core

CPUs with OpenMP and GPUs and accelerators with PyCUDA and PyOpenCL and

distributed parallel computations with mpi4py. Backend-specific code

tailored to each specific computation is generated, just-in-time

compiled and efficiently scheduled for parallel execution at runtime.

 

Due to the composability of the [Firedrake] and [PyOP2] abstractions,

optimised implementations for different hardware architectures can be

automatically generated without any changes to a single high-level

source. Performance matches or exceeds what is realistically attainable

by hand-written code. Both projects are open source and developed at

Imperial College London.



[PyOP2]: https://op2.github.io/PyOP2

[Firedrake]: https://firedrakeproject.org

[FEniCS project]: https://fenicsproject.org

[UFL]: https://bitbucket.org/fenics-project/ufl/

[FFC]: https://bitbucket.org/fenics-project/ffc/



### Resources



  * **[PyOP2](https://github.com/OP2/PyOP2)**

    * *[PyOP2: A High-Level Framework for Performance-Portable Simulations on Unstructured Meshes](https://dx.doi.org/10.1109/SC.Companion.2012.134)*

      Florian Rathgeber, Graham R. Markall, Lawrence Mitchell, Nicholas Loriant, David A. Ham, Carlo Bertolli, Paul H.J. Kelly,

      WOLFHPC 2012

    * *[Performance-Portable Finite Element Assembly Using PyOP2 and FEniCS](https://link.springer.com/chapter/10.1007/978-3-642-38750-0_21)*

       Graham R. Markall, Florian Rathgeber, Lawrence Mitchell, Nicolas Loriant, Carlo Bertolli, David A. Ham, Paul H. J. Kelly ,

       ISC 2013

  * **[Firedrake](https://github.com/firedrakeproject/firedrake)**

    * *[Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local Assembly](https://dx.doi.org/10.1145/2687415)*

      Fabio Luporini, Ana Lucia Varbanescu, Florian Rathgeber, Gheorghe-Teodor Bercea, J. Ramanujam, David A. Ham, Paul H. J. Kelly,

      ACM Transactions on Architecture and Code Optimization, January 2015

  * **[UFL](https://github.com/firedrakeproject/ufl)**

  * **[FFC](https://github.com/firedrakeproject/ffc)**