Well-posed variational formulations of Friedrichs-type systems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.05.002
Abstract: Abstract All finite element methods, as well as much of the Hilbert-space theory for partial differential equations, rely on variational formulations, that is, problems of the type: find u ∈ V such that a (… read more here.
Keywords: variational formulations; space; well posed; friedrichs type ... See more keywords
Gauge-invariant variational formulations of electromagnetic gyrokinetic theory
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Plasma Physics"
DOI: 10.1017/s0022377825100688
Abstract: The use of gyrokinetics, wherein phase-space coordinate transformations result in a phase-space dimensionality reduction as well as the removal of fast time scales, has enabled the simulation of microturbulence in fusion devices. The state-of-the-art gyrokinetic… read more here.
Keywords: variational formulations; model; gauge invariance; invariant variational ... See more keywords
Variational formulations for elastic inversion from full-field wave data
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the Acoustical Society of America"
DOI: 10.1121/1.4987974
Abstract: Ultrasound elastography uses propagating P-waves to measure the deformation of soft elastic solids, including soft tissues. In some cases, the deformation of interest is quasistatic while in others it is a propagating S-wave. From the… read more here.
Keywords: variational formulations; field; wave; formulations elastic ... See more keywords