PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Xiaozhe Hu, Hope Shaffer, Jinchao Xu, Fei Wang, Toan Nguyen.

Title:Accurate coarsening of H1-, Hcurl- and Hdiv- conforming finite element spaces by element agglomeration on unstructured 3d meshes
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Ilya Lashuk, Penn State Univeristy
Abstract:
We present the ideas on how to coarsen the finite element spaces, so that two properties are preserved: the exactness of de Rham complex, and local interpolation of (scalar or vector) polynomials. Our approach is based on element agglomeration: we group together nearby fine elements to get coarse elements (generally, of rather wild shape). We then construct the coarse shape functions associated with coarse elements, "coarse faces" (faces of coarse elements), "coarse edges", etc. We discuss at length the lowest-order case, then proceed (if time permits) to higher-order construction for Hdiv case, and finish with the standalone (not dependent on Hcurl and Hdiv) construction for H1. Note: the talk starts at 1:30 PM.

Room Reservation Information

Room Number:MB315
Date:11 / 01 / 2013
Time:12:00pm - 03:30pm