BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250510T165517EDT-6521UMXrr8@132.216.98.100 DTSTAMP:20250510T205517Z DESCRIPTION: \n\n \n\nTITLE\n\nA numerical analyst's journey through spacet ime.\n\nABSTRACT\n\nPhysical laws are elegantly described through partial differential equations (PDE). A core concern in numerical analysis is how to achieve high-order approximations of solutions to these PDE. We need to ensure our approximation strategy leads to a consistent\, stable and conv ergent method. One design principle is that of structure-preservation: our discrete problem should respect important underlying structures in the pr oblem. These structures could be geometrical\, algebraic\, topological\, a nd homological. In this talk I'll introduce the powerful finite element ap proach for PDE\, and then motivate the need for the beautiful mathematical theory of the finite element exterior calculus. These powerful ideas allo w us to describe polynomial differential forms - which themselves form fin ite-dimensional subcomplexes of the deRham complex. These are typically de scribed on simplicial or tensorial domains. After some concrete examples i n R^2 and R^3\, I'll use these ideas to describe recent work on the design of high-order discretizations of PDEs in R^4 (space-time problems). I'll present families of conforming high-order finite elements on simplicial el ements (these are well-known)\, and also on certain non-simplicial domains . The constructions - which are explicit - rely on techniques from the fin ite element exterior calculus. This is joint work with David Williams.\n\n PLACE\n Hybride - CRM\, Salle / Room 6214\, Pavillon André Aisenstadt\n\n\n \n \n \n ZOOM\n \n \n \n\n DTSTART:20250509T193000Z DTEND:20250509T203000Z SUMMARY:Nilima Nigam (Simon Fraser University) URL:/mathstat/channels/event/nilima-nigam-simon-fraser -university-365277 END:VEVENT END:VCALENDAR