Captain's log, star date 1968
William Shatner was the original Captain Kirk in Star Trek. But he also had a side line in singing; or rather talking his way through popular songs and Shakespeare plays. What was he up to? Who knows, but here's a song written by Bob Dylan, made famous by the Byrds and then beamed up to the USS Enterprise in Shatner's head. Enjoy.
This is an annual prize, which recognises high-achieving students at the University of Oxford and the University of Cambridge, providing up to £1,000 to support their growth, help them deepen their knowledge and explore new ideas, along with exclusive access to the G-Research community
If any of your undergraduates might be interested please pass on.
Are you ready to lead the way in making engagement a meaningful and recognised part of your department's culture?
The MPLS PCER Fellows Scheme offers up to five fellowships with £4,000 funding each for researchers and professional services staff to develop strategic public and community engagement with research (PCER) initiatives that drive culture change, support REF readiness, and embed responsible research practice.
Application deadline: 12 noon, Friday 12 September 2025
A C0-hybrid interior penalty method for the nematic Helmholtz-Korteweg equation
Abstract
The nematic Helmholtz-Korteweg equation is a fourth-order scalar PDE modelling time-harmonic acoustic waves in nematic Korteweg fluids, such as nematic liquid crystals. Conforming discretizations typically require C1-conforming elements, for example the Argyris element, whose implementation is notoriously challenging - especially in three dimensions - and often demands a high polynomial degree.
In this talk, we consider an alternative non-conforming C0-hybrid interior penalty method that is both stable and convergent for any polynomial degree greater than two. Classical C0-interior penalty methods employ an H1-conforming subspace and treat the non-conformity with respect to H2 with discontinuous Galerkin techniques. Building on this idea, we use hybridization techniques to improve the computational efficiency of the discretization. We provide a brief overview of the numerical analysis and show numerical examples, demonstrating the method's ability to capture anisotropic propagation of sound in two and three dimensions.