GLOBALLY AND LOCALLY STRUCTURE-PRESERVING MIXED FINITE ELEMENT METHODS FOR BOUNDARY-VALUE PROBLEMS

Boris Andrews

In preparation (Draft available on request)

(Details available soon!)

RELATED WORKS

The ideas here, in particular the style of the framework and the systematic introduction of auxiliary variables, are highly reminiscent of my earlier work with Patrick Farrell, on general constructions for conservative finite element integrators. In fact, one can view that earlier work as a special case of this, where one interprets the initial condition (in time) as a boundary condition (in space-time).

RELATED OPEN PROBLEMS

Problem	Reward
Connections between the latent variable proximal point algorithm and my auxiliary variable framework	★★★★☆

TALKS

2025

• EMS School on Mathematical Modelling, Numerical Analysis and Scientific Computing, Kácov, Czechia
⬆️ UPCOMING ⬆️