Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 13, issue 2
Articles | Volume 13, issue 2
https://doi.org/10.5194/gmd-13-735-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/gmd-13-735-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 13, issue 2
Development and technical paper
 | 
25 Feb 2020
Development and technical paper |  | 25 Feb 2020

Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond

Thomas H. Gibson, Lawrence Mitchell, David A. Ham, and Colin J. Cotter

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Latest update: 23 Apr 2024
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Short summary
Galerkin finite element discretizations for atmospheric modeling often require the solution of ill-conditioned, saddle point equations which can be efficiently solved using a hybridized method. By extending Firedrake's domain-specific abstraction, we provide a mechanism for the rapid implementation of hybridization methods for a wide class of methods. In this paper, we show that hybridization is an effective alternative to traditional block solvers for simulating geophysical flows.
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The Firedrake automatic code generation system