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07/10/2023
Planar Curve Registration using Bayesian Inversion
We study parameterisation-independent closed planar curve matching as a ...
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04/12/2023
Consistent Point Data Assimilation in Firedrake and Icepack
When estimating quantities and fields that are difficult to measure dire...
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02/26/2023
Compatible finite element methods for geophysical fluid dynamics
This article surveys research on the application of compatible finite el...
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10/21/2022
Hybridised multigrid preconditioners for a compatible finite element dynamical core
Compatible finite element discretisations for the atmospheric equations ...
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07/05/2022
Weighted-norm preconditioners for a multi-layer tide model
We derive a linearized rotating shallow water system modeling tides, whi...
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03/09/2022
A new implementation of the geometric method for solving the Eady slice equations
We present a new implementation of the geometric method of Cullen Pu...
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08/02/2021
Conservation with moving meshes over orography
Adaptive meshes have the potential to improve the accuracy and efficienc...
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03/25/2021
Learning landmark geodesics using Kalman ensembles
We study the problem of diffeomorphometric geodesic landmark matching wh...
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03/13/2021
Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere
We describe the application of the phase averaging technique to the nonl...
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02/23/2021
Higher order phase averaging for highly oscillatory systems
We introduce a higher order phase averaging method for nonlinear oscilla...
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01/27/2020
Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction
We present an energy conserving space discretisation based on a Poisson ...
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12/21/2019
A structure-preserving approximation of the discrete split rotating shallow water equations
We introduce an efficient split finite element (FE) discretization of a ...
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10/04/2019
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation
The stochastic Camassa-Holm equation was derived in Holm and Tyranowski ...
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10/04/2019
A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations
We present new discretisation of the moist compressible Euler equations,...
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02/01/2018
Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond
Within the finite element community, discontinuous Galerkin (DG) and mix...
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02/01/2018
A domain-specific language for the hybridization and static condensation of finite element methods
In this paper, we introduce a domain-specific language (DSL) for concise...
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11/01/2017
The scaling and skewness of optimally transported meshes on the sphere
In the context of numerical solution of PDEs, dynamic mesh redistributio...
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11/01/2017