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11/10/2022
Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes
In recent years a great deal of attention has been paid to discretizatio...
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04/30/2021
An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers
The magnetohydrodynamics (MHD) equations are generally known to be diffi...
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04/27/2021
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake
We present an implementation of the trimmed serendipity finite element f...
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04/20/2020
A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
Augmented Lagrangian preconditioners have successfully yielded Reynolds-...
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02/06/2020
Robust multigrid methods for nearly incompressible elasticity using macro elements
We present a mesh-independent and parameter-robust multigrid solver for ...
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12/18/2019
PCPATCH: software for the topological construction of multigrid relaxation methods
Effective relaxation methods are necessary for good multigrid convergenc...
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03/19/2019
A study of vectorization for matrix-free finite element methods
Vectorization is increasingly important to achieve high performance on m...
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08/16/2018
Code generation for generally mapped finite elements
Many classical finite elements such as the Argyris and Bell elements hav...
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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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06/05/2017
Solver composition across the PDE/linear algebra barrier
The efficient solution of discretisations of coupled systems of partial ...
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05/10/2017
TSFC: a structure-preserving form compiler
A form compiler takes a high-level description of the weak form of parti...
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05/02/2016
High level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modelling
The implementation of efficient multigrid preconditioners for elliptic p...
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04/20/2016
