Special Functions and High Order Finite Element Methods
Sprache des Vortragstitels:
Joint AMS-MAA meeting in New Orleans
Sprache des Tagungstitel:
High order finite element methods are a widely used tool to solve systems of partial differential equations numerically. Starting from the variational formulation of the system, the approximate solution is sought as an expansion in terms of polynomial basis functions that are often built as combinations of orthogonal polynomials. In the design and analysis of these basis functions several properties of orthogonal polynomials are exploited, many of which can be proved and discovered using symbolic algorithms. In this talk, we will survey some of the recent results we obtained in this area.
Sprache der Kurzfassung:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung