We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871–1956).

Deckelnick and Dziuk (2009) proved a stability bound for a continuous-in-time semidiscrete parametric finite element approximation of Willmore flow/elastic flow of closed curves in R, d ≥ 2. We extend these ideas in considering an alternative finite element approximation of the same flow that retains some of the features of the formulations in Barrett, Garcke, and Nürnberg (2007b, 2008b, 2010b)...

Title: Modelling Aggregate Interlock Load Transfer at Concrete Pavement Joints Author: Anna-Carin Brink Supervisor: Prof Emile Horak Co-Supervisor: Prof Alex Visser Department: Civil Engineering University: University of Pretoria Degree: Philosophiae Doctor (Engineering)