Articles | Volume 6, issue 6
https://doi.org/10.5194/gmd-6-2099-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-6-2099-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Development and technical paper
| 
17 Dec 2013
Development and technical paper |
| 17 Dec 2013
Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2
M. E. Rognes
Center for Biomedical Computing, Simula Research Laboratory, P.O. Box 134, 1325 Lysaker, Norway
D. A. Ham
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
Department of Computing, Imperial College London, London SW7 2AZ, UK
C. J. Cotter
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
A. T. T. McRae
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
The Grantham Institute for Climate Change, Imperial College London, London SW7 2AZ, UK
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- The scaling and skewness of optimally transported meshes on the sphere C. Budd et al. 10.1016/j.jcp.2018.08.028
- Firedrake F. Rathgeber et al. 10.1145/2998441
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- Firedrake-Fluids v0.1: numerical modelling of shallow water flows using an automated solution framework C. Jacobs & M. Piggott 10.5194/gmd-8-533-2015
- 3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries C. Lee et al. 10.1371/journal.pcbi.1007756
- A quasi-Hamiltonian discretization of the thermal shallow water equations C. Eldred et al. 10.1016/j.jcp.2018.10.038
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- Simple and extensible plate and shell finite element models through automatic code generation tools J. Hale et al. 10.1016/j.compstruc.2018.08.001
- Code Generation for Generally Mapped Finite Elements R. Kirby & L. Mitchell 10.1145/3361745
- Transient structures in rupturing thin films: Marangoni-induced symmetry-breaking pattern formation in viscous fluids L. Shen et al. 10.1126/sciadv.abb0597
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- Compatible finite element spaces for geophysical fluid dynamics A. Natale et al. 10.1093/climsys/dzw005
- Abstractions and Automated Algorithms for Mixed Domain Finite Element Methods C. Daversin-Catty et al. 10.1145/3471138
3 citations as recorded by crossref.
- Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere J. Shipton et al. 10.1016/j.jcp.2018.08.027
- Mixed finite elements for global tide models C. Cotter & R. Kirby 10.1007/s00211-015-0748-z
- Mixed finite elements for global tide models with nonlinear damping C. Cotter et al. 10.1007/s00211-018-0980-4
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