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XI-DeepONet: An operator learning method for elliptic interface problems

delete2025-06-06
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OA
AI
R
Ran Bi
J
Jingrun Chen
邓
邓卫兵 (Weibing Deng)
DOI:10.1016/j.jcp.2025.114164delete
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Abstract

Abstract

En 中文
• Proposing an operator learning architecture to solve the elliptic interface problems. • Effectively handling the low regularity of solutions and complex interface geometries. • The network can infer solutions with various interface geometries once trained. • The network can be trained without any paired input-output data. • The numerical results demonstrate the robustness and effectiveness.

Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.6W
Citations:
7.4W

Organization

No organization information available
Cited Papers

Cited Papers

La fin des sociabilités ouvrières ?
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err2003-07-01
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errEmmanuel Fournier
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A cusp-capturing PINN for elliptic interface problems
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errTseng, Yu-Hau; Lin, Te-Sheng; Hu, Wei-Fan; Lai, Ming-Chih
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A shallow Ritz method for elliptic problems with singular sources
err2022-11-01
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errOAAI
errLai, Ming-Chih; Chang, Che-Chia; Lin, Wei-Syuan; Hu, Wei-Fan; Lin, Te-Sheng
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