https://github.com/kynan/firedrakeiet

Slides for a talk on Firedrake for IET Berkshire as part of Reading Science Week 2017
https://github.com/kynan/firedrakeiet

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Slides for a talk on Firedrake for IET Berkshire as part of Reading Science Week 2017

• Host: GitHub
• URL: https://github.com/kynan/firedrakeiet
• Owner: kynan
• Created: 2017-03-16T18:18:39.000Z (almost 9 years ago)
• Default Branch: gh-pages
• Last Pushed: 2017-03-17T07:42:21.000Z (almost 9 years ago)
• Last Synced: 2025-01-12T12:32:31.522Z (12 months ago)
• Language: CSS
• Homepage: https://kynan.github.io/FiredrakeIET
• Size: 163 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# Solving partial differential equations using the finite element method efficiently and productively with Firedrake and PyOP2

## http://firedrakeproject.org

### **Florian Rathgeber**0, Lawrence Mitchell1, David Ham1,2, Michael Lange3, Andrew McRae2, Fabio Luporini1, Gheorghe-teodor Bercea1, Paul Kelly1

0 Data Handling Team, Development Section, Forecast Department, ECMWF  

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 an [invited seminar](http://cmg.soton.ac.uk/events/event-794/) at

the [Computational Modelling Group](http://cmg.soton.ac.uk/) led by [Prof. Hans

Fangohr](http://cmg.soton.ac.uk/people/fangohr/) at the University of

Southampton on November 27th:

https://kynan.github.io/FiredrakeSeminarSoton

Hans [blogged] about the seminar.

[blogged]: http://ngcm.soton.ac.uk/blog/2014-11-27/seminar-by-florian-rathgeber-on-solving-pdes-using-firedrake.html

### Abstract

In this talk I will give an overview of my PhD research in computational

science at Imperial College London before joining ECMWF, which involved

designing and implementing a two-layer domain-specific framework for the

efficient solution of partial differential equations from a high-level problem

specification. I will present Firedrake, a high-level framework for solving

partial differential equations using the finite element method, built on top of

PyOP2, a domain-specific language embedded in Python for parallel mesh-based

computations. I am going to highlight characteristic features that

differentiate this tool chain from existing solutions, reflect on the process

of designing and implementing the framework and discuss some lessons learnt in

running an academic open source software project.

Firedrake allows scientists to describe variational forms and discretisations

for linear and non-linear finite element problems symbolically, in a notation

very close to their mathematical models. PyOP2 abstracts the

performance-portable parallel execution of local computations over the mesh on

a range of hardware architectures, targeting multi-core CPUs, GPUs and

accelerators. Thereby, a separation of concerns is achieved, in which Firedrake

encapsulates domain knowledge about the finite element method separately from

its efficient parallel execution in PyOP2, which in turn is completely agnostic

to the higher abstraction layer.

As a consequence of the composability of those 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.

Firedrake and PyOP2 are combined to form a tool chain that is demonstrated to

be competitive with or faster than available alternatives on a wide range of

different finite element problems.

### 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

    * *[Productive and Efficient Computational Science Through Domain-specific Abstractions](https://wwwhomes.doc.ic.ac.uk/~fr710/Rathgeber-F-2014-PhD-Thesis.pdf)*  

      Florian Rathgeber, PhD thesis, October 2014

    * *[Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local Assembly](https://arxiv.org/abs/1407.0904)*

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

  * **UFL** https://bitbucket.org/mapdes/ufl

  * **FFC** https://bitbucket.org/mapdes/ffc