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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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04/28/2023
On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems
Finite element discretization of time dependent problems also require ef...
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10/25/2022
Exact domain truncation for the Morse-Ingard equations
Morse and Ingard give a coupled system of time-harmonic equations for th...
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10/22/2022
Integral Equation Methods for the Morse-Ingard Equations
We present two (a decoupled and a coupled) integral-equation-based metho...
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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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08/24/2021
Full waveform inversion using triangular waveform adapted meshes
In this article, continuous Galerkin finite elements are applied to perf...
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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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04/23/2021
Additive Schwarz methods for serendipity elements
While solving Partial Differential Equations (PDEs) with finite element ...
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04/23/2021
Bounds-constrained polynomial approximation using the Bernstein basis
A fundamental problem in numerical analysis and approximation theory is ...
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09/17/2020
Finite elements for Helmholtz equations with a nonlocal boundary condition
Numerical resolution of exterior Helmholtz problems requires some approa...
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06/29/2020
Irksome: Automating Runge–Kutta time-stepping for finite element methods
While implicit Runge–Kutta methods possess high order accuracy and impor...
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05/07/2020
Structured inversion of the Bernstein-Vandermonde Matrix
Bernstein polynomials, long a staple of approximation theory and computa...
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03/03/2020
Preconditioning mixed finite elements for tide models
We describe a fully discrete mixed finite element method for the lineari...
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11/22/2019
Optimal-order preconditioners for the Morse-Ingard equations
The Morse-Ingard equations of thermoacoustics are a system of coupled ti...
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07/12/2019
Structured inversion of the Bernstein mass matrix
Bernstein polynomials, long a staple of approximation theory and computa...
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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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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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06/05/2017