All

[Math Department Invited Talk] Efficient spectral methods for  PDEs in complex domains

  • Speaker: Jie Shen (Purdue University)

  • Time: Jun 7, 2021, 14:30-15:30

Abtract

We present two  approaches based on domain embedding to construct efficient spectral methods for solving PDEs in complex domains. One is based on a rectangular embedding, the other is based on a circular embedding. We present ample numerical results on elliptic PDEs and Helmholtz equations on smooth and polygonal complex domains to validate our algorithms.