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

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[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
Location: M1001, College of Science Building

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.