Description
Awards:1. School Winner
2. Student-Nominated Winner
3. Excellent Poster
Abstract: In this project, we propose a gradient-based adaptive sampling strategy for the deep unfitted Nitsche method to solve the elliptic interface problem. The deep unfitted Nitsche method involves training two weakly coupled neural networks by minimizing an energy formualtion to address the discontinuities caused by the interface. The gradient-based adaptive sampling strategy is then designed to capture the singularity at the interface for more challenging problems. The algorithm’s performance is presented through a numerical example to demonstrate its computational efficiency and accuracy.
Period | 17 Jun 2024 → 26 Aug 2024 |
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Projects
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High accuracy particle in cell method for plasma simulation
Project: Internal Research Project
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Frontier Research on high accuracy numerical methods for plasma simulation
Project: Governmental Research Project