Zobrazeno 1 - 10
of 1 528
pro vyhledávání: '"Kirby, A. C."'
FIAT (the FInite element Automatic Tabulator) provides a powerful Python library for the generation and evaluation of finite element basis functions on a reference element. This release paper describes recent improvements to FIAT aimed at improving i
Externí odkaz:
http://arxiv.org/abs/2408.03565
Autor:
Kirby, Robert C., MacLachlan, Scott P.
Irksome is a library based on the Unified Form Language (UFL) that enables automated generation of Runge--Kutta methods for time-stepping finite element spatial discretizations of partial differential equations (PDE). Allowing users to express semidi
Externí odkaz:
http://arxiv.org/abs/2403.08084
Autor:
Kirby, Robert C., Shapero, Daniel
Solutions to many important partial differential equations satisfy bounds constraints, but approximations computed by finite element or finite difference methods typically fail to respect the same conditions. Chang and Nakshatrala enforce such bounds
Externí odkaz:
http://arxiv.org/abs/2311.05880
Autor:
Kirby, William C.
Publikováno v:
Daedalus, 2024 Apr 01. 153(2), 7-20.
Externí odkaz:
https://www.jstor.org/stable/48774431
We study parameterisation-independent closed planar curve matching as a Bayesian inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism group acting on the ambient space, leading to a large deformation diffeomorphic me
Externí odkaz:
http://arxiv.org/abs/2307.04909
Autor:
Kirby, Robert C.
Finite element discretization of time dependent problems also require effective time-stepping schemes. While implicit Runge-Kutta methods provide favorable accuracy and stability problems, they give rise to large and complicated systems of equations
Externí odkaz:
http://arxiv.org/abs/2304.14879
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 sensors. Like other wave propagation problems, the computational proble
Externí odkaz:
http://arxiv.org/abs/2210.13765
We present two (a decoupled and a coupled) integral-equation-based methods for the Morse-Ingard equations subject to Neumann boundary conditions on the exterior domain. Both methods are based on second-kind integral equation (SKIE) formulations. The
Externí odkaz:
http://arxiv.org/abs/2210.12542
We derive a linearized rotating shallow water system modeling tides, which can be discretized by mixed finite elements. Unlike previous models, this model allows for multiple layers stratified by density. Like the single-layer case~\cite{kirby2021pre
Externí odkaz:
http://arxiv.org/abs/2207.02116
Autor:
Roberts, Keith J., Olender, Alexandre, Franceschini, Lucas, Kirby, Robert C., Gioria, Rafael S., Carmo, Bruno S.
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 detailed that uses meshes composed of variably sized triangular elements to d
Externí odkaz:
http://arxiv.org/abs/2108.10946