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08/23/2023
Absorbing boundary conditions for the Helmholtz equation using Gauss-Legendre quadrature reduced integrations
We introduce a new class of absorbing boundary conditions (ABCs) for the...
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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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03/13/2023
Physics-driven machine learning models coupling PyTorch and Firedrake
Partial differential equations (PDEs) are central to describing and mode...
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11/01/2021
Escaping the abstraction: a foreign function interface for the Unified Form Language [UFL]
High level domain specific languages for the finite element method under...
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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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04/16/2021
Code generation for productive portable scalable finite element simulation in Firedrake
Creating scalable, high performance PDE-based simulations requires a sui...
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01/13/2021
UFL Dual Spaces, a proposal
This white paper highlights current limitations in the algebraic closure...
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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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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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11/07/2017
Exposing and exploiting structure: optimal code generation for high-order finite element methods
Code generation based software platforms, such as Firedrake, have become...
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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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04/20/2016
A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake
We present a generic algorithm for numbering and then efficiently iterat...
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04/20/2016