For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen, Jinchao Xu.
|Title:||Canonical decompositions for Discontinuous Galerkin methods and Preconditioning|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Blanca Ayuso de Dios, CRM, Barcelona Spain|
|We introduce a natural decomposition of the discontinuous Galerkin
Finite Element spaces. For the lowest order case this decomposition is
a direct sum of of the Crouzeix-Raviart non-conforming finite element
space and a subspace that contains functions discontinuous at interior
faces. Based on these decompositions we develop iterative and preconditioning
techniques for the solution of the linear systems resulting from
several discontinuous Galerkin (DG) Interior Penalty (IP)
discretizations of elliptic problems. We analyze the convergence
properties of these algorithms for both symmetric and non-symmetric IP
schemes. We also present numerical examples confirming the theoretical results.
Further extension to problems with jumps in the coefficients and linear elasticity will also be discussed.
The talk is based on joint works with Ludmil T. Zikatanov from Penn State University (USA).|
Room Reservation Information
|Date:||09 / 17 / 2010|
|Time:||03:35pm - 04:25pm|