MINDS Seminar Series | Duksoon Oh (Chungnam National University) - Multigrid Methods for Vector Field Problems
Date |
2021-05-04 ~ 2021-05-04 |
Time |
16:00:00 ~ 17:00:00 |
Speaker |
Duksoon Oh |
Affiliation |
Chungnam National University |
Place |
Online streaming (Zoom) |
Streaming link |
ID : 688 896 1076 /
PW : letmein |
Topic |
Multigrid Methods for Vector Field Problems |
Contents |
We design and analyze V‐cycle multigrid methods for problems posed in H(div) and H(curl). Due to the fact that traditional smoothers do not work well for the vector field problems, a special approach for smoothers in the multigrid methods is essential. We introduce a new smoothing technique which involves non-overlapping domain decomposition preconditioners based on substructuring. We prove uniform convergence of the V‐cycle methods on bounded convex hexahedral domains. Numerical experiments that support the theory are also presented. |