Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

In this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique developed in [R. Hiptmair, A. Moiola and I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version, SIAM J. Numer. Anal., 49 (2011), 264-284] for Trefftz-discontinuous Galerkin approximations of the Helmholtz problem. While error estimates in a mesh-skeleton norm are derived parallel to the Helmholtz case, the derivation of estimates in a mesh-independent norm requires new twists in the duality argument. The particular case where the local Trefftz approximation spaces are built of vector-valued plane wave functions is considered, and convergence rates are derived.

A structuration theory perspective on the institutional change in Higher Education sector

Budgeting system has been traditionally viewed as a control mechanism rather than a communication tool to facilitate the institutionalisation of organisational change. A good budgeting system not only reflects the organisational reality but also socially constructs the reality. This paper uses the structuration perspective to understand budget-related behaviour in a UK research-intensive university and especially, study the role of budgeting system in achieving organisational sustainability. Giddens’ structuration theory offers a valuable framework for the study of the duality of structure and emphasises on the structural properties of social systems. Based on the semi-structured interviews with top management and budget holders, it is concluded that in this specific context, budgeting system may place a significant role in establishing and legitimising institutional change.