
Full waveform inversion using triangular waveform adapted meshes
In this article, continuous Galerkin finite elements are applied to perf...
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Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake
We present an implementation of the trimmed serendipity finite element f...
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Additive Schwarz methods for serendipity elements
While solving Partial Differential Equations (PDEs) with finite element ...
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Boundsconstrained polynomial approximation using the Bernstein basis
A fundamental problem in numerical analysis and approximation theory is ...
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Finite elements for Helmholtz equations with a nonlocal boundary condition
Numerical resolution of exterior Helmholtz problems requires some approa...
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Irksome: Automating Runge–Kutta timestepping for finite element methods
While implicit Runge–Kutta methods possess high order accuracy and impor...
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Structured inversion of the BernsteinVandermonde Matrix
Bernstein polynomials, long a staple of approximation theory and computa...
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Preconditioning mixed finite elements for tide models
We describe a fully discrete mixed finite element method for the lineari...
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Optimalorder preconditioners for the MorseIngard equations
The MorseIngard equations of thermoacoustics are a system of coupled ti...
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Structured inversion of the Bernstein mass matrix
Bernstein polynomials, long a staple of approximation theory and computa...
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Code generation for generally mapped finite elements
Many classical finite elements such as the Argyris and Bell elements hav...
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Exposing and exploiting structure: optimal code generation for highorder finite element methods
Code generation based software platforms, such as Firedrake, have become...
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Solver composition across the PDE/linear algebra barrier
The efficient solution of discretisations of coupled systems of partial ...
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Robert C. Kirby
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