Wednesday, 22 January, 2014
SPEAKER: Travis Thompson, JICS/ORNL
TITLE: Dispersion and superconvergence analysis of continuous finite
element approximations of the linear transport equation
ABSTRACT: An analysis of the dispersion error and some superconvergence properties of continuous finite element approximations of the linear transport equation will be presented. An new tool based on an integral commutator is proposed to carry out this analysis. A superconvergence result for odd degree polynomial approximations is established on centro-symmetric meshes and a fourth-order super-convergence is obtained for the piecewise linear approximation on some particular meshes.