3 papers
math.NA2024
Finite element approximation to the non-stationary quasi-geostrophic equation
Dohyun Kim, Amiya K. Pani, Eun-Jae Park
In this paper, C1-conforming element methods are analyzed for the stream function formulation of a single layer non-stationary quasi-geostrophic equation in the ocean circulation m…
math.AP2019
Small deformations of spherical biomembranes
Charles M. Elliott, Luke Hatcher, Philip J. Herbert
In this contribution to the proceedings of the 11th Mathematical Society of Japan (MSJ) Seasonal Institute (July 2018) we give an overview of some recent work on a mathematical mod…
math.NA2019
Second order splitting of a class of fourth order PDEs with point constraints
Charles M. Elliott, Philip J. Herbert
We formulate a well-posedness and approximation theory for a class of generalised saddle point problems with a specific form of constraints. In this way we develop an approach to a…