Special Functions and High Order Finite Element Methods

Activity: Talk or presentationInvited talkunknown

Description

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.
Period06 Jan 2011
Event titleJoint AMS-MAA meeting in New Orleans
Event typeConference
LocationUnited StatesShow on map

Fields of science

  • 101002 Analysis
  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 102 Computer Sciences
  • 101 Mathematics
  • 101009 Geometry
  • 102011 Formal languages
  • 101006 Differential geometry
  • 101005 Computer algebra
  • 101025 Number theory
  • 101003 Applied geometry
  • 102025 Distributed systems

JKU Focus areas

  • Computation in Informatics and Mathematics