3 papers
math.NA2026
Optimal -error estimates and -multigrid convergence for Hybrid High-Order discretizations of the Poisson equation
Daniele A. Di Pietro, Emil Hössjer
This paper presents two new theoretical results for Hybrid High-Order (HHO) methods applied to elliptic problems. First, we establish -error estimates for the HHO discretizatio…
math-ph2023
Generalized Abelian Turaev-Viro and BF Theories
Emil Høssjer, Philippe Mathieu, Frank Thuillier
We explain how it is possible to study BF theory over a connected closed oriented smooth -manifold in the formalism of path integral thanks to Delig…
math-ph2022
An extension of the BF theory, Turaev-Viro invariant and Drinfeld center construction. Part I: Quantum fields, quantum currents and Pontryagin duality
Emil Høssjer, Philippe Mathieu, Frank Thuillier
In this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction fo…