1 citations · 2 across the 6 of their papers we have counts for
10 papers
Exact domain truncation for the Morse-Ingard equations
Robert C. Kirby, Xiaoyu Wei, Andreas Kloeckner
Morse and Ingard give a coupled system of time-harmonic equations for the temperature and pressure of an excited gas. These equations form a critical aspect of modeling trace gas s…
Transformations for Piola-mapped elements
Francis Aznaran, Robert Kirby, Patrick Farrell
The Arnold-Winther element successfully discretizes the Hellinger-Reissner variational formulation of linear elasticity; its development was one of the key early breakthroughs of t…
Full waveform inversion using triangular waveform adapted meshes
Keith J. Roberts, Alexandre Olender, Lucas Franceschini +3
In this article, continuous Galerkin finite elements are applied to perform full waveform inversion (FWI) for seismic velocity model building. A time-domain FWI approach is detaile…
Finite elements for Helmholtz equations with a nonlocal boundary condition
Robert C. Kirby, Andreas Klöckner, Ben Sepanski
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation o…
Irksome: Automating Runge--Kutta time-stepping for finite element methods
Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
While implicit Runge--Kutta methods possess high order accuracy and important stability properties, implementation difficulties and the high expense of solving the coupled algebrai…
Structured inversion of the Bernstein-Vandermonde Matrix
Larry Allen, Robert C. Kirby
Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly become of interest in finite element methods. Many fundamental probl…