Solving parametric elliptic interface problems via interfaced operator network
Fuente:
arXiv
Saved in:
| Main Authors: | Wu, Sidi, Zhu, Aiqing, Tang, Yifa, Lu, Benzhuo |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
XI-DeepONet: An operator learning method for elliptic interface problems
by: Bi, Ran, et al.
Published: (2024)
by: Bi, Ran, et al.
Published: (2024)
IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
by: Zheng, Jiachun, et al.
Published: (2025)
by: Zheng, Jiachun, et al.
Published: (2025)
Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics
by: Wu, Sixu, et al.
Published: (2026)
by: Wu, Sixu, et al.
Published: (2026)
A posteriori error estimator for elliptic interface problems in the fictitious formulation
by: Alshehri, Najwa, et al.
Published: (2024)
by: Alshehri, Najwa, et al.
Published: (2024)
Conservative flux reconstruction for an elliptic interface problem using CutFEM
by: Capatina, Daniela, et al.
Published: (2026)
by: Capatina, Daniela, et al.
Published: (2026)
Stable quadratic generalized IsoGeometric analysis for elliptic interface problem
by: Song, Yin, et al.
Published: (2025)
by: Song, Yin, et al.
Published: (2025)
Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
by: Benzi, Michele, et al.
Published: (2026)
by: Benzi, Michele, et al.
Published: (2026)
An unfitted finite element method for elliptic interface problem with low regularity estimates
by: Yang, Fanyi
Published: (2026)
by: Yang, Fanyi
Published: (2026)
A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
by: Hu, Wei-Fan, et al.
Published: (2025)
by: Hu, Wei-Fan, et al.
Published: (2025)
Weak Galerkin finite element methods for elliptic interface problems on nonconvex polygonal partitions
by: Wang, Chunmei, et al.
Published: (2025)
by: Wang, Chunmei, et al.
Published: (2025)
Learning solution operators of PDEs defined on varying domains via MIONet
by: Xiao, Shanshan, et al.
Published: (2024)
by: Xiao, Shanshan, et al.
Published: (2024)
Physics-informed neural networks for solving two-phase flow problems with moving interfaces
by: Zhai, Qijia, et al.
Published: (2026)
by: Zhai, Qijia, et al.
Published: (2026)
A direct finite element method for elliptic interface problems
by: Hu, Jun, et al.
Published: (2024)
by: Hu, Jun, et al.
Published: (2024)
HoSGFEM: High-order stable generalized finite element method for elliptic interface problem
by: Zhao, Bingying, et al.
Published: (2025)
by: Zhao, Bingying, et al.
Published: (2025)
The weak Galerkin finite element method for Stokes interface problems with curved interface
by: Yang, Lin, et al.
Published: (2022)
by: Yang, Lin, et al.
Published: (2022)
Mathematical artificial data for operator learning
by: Wu, Heng, et al.
Published: (2025)
by: Wu, Heng, et al.
Published: (2025)
A boundary-corrected weak Galerkin mixed finite method for elliptic interface problems with curved interfaces
by: Hou, Yongli, et al.
Published: (2025)
by: Hou, Yongli, et al.
Published: (2025)
A hybrid neural-network and MAC scheme for Stokes interface problems
by: Chang, Che-Chia, et al.
Published: (2023)
by: Chang, Che-Chia, et al.
Published: (2023)
Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators
by: Jiao, Anran, et al.
Published: (2024)
by: Jiao, Anran, et al.
Published: (2024)
Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems
by: Burman, Erik, et al.
Published: (2025)
by: Burman, Erik, et al.
Published: (2025)
Effective Numerical Simulation of Fault Transient System
by: Wu, Sixu, et al.
Published: (2025)
by: Wu, Sixu, et al.
Published: (2025)
Non-isothermal diffuse interface model for phase transition and interface evolution
by: Liu, Chun, et al.
Published: (2024)
by: Liu, Chun, et al.
Published: (2024)
A median-filter-based framework for interface optimal design problems
by: Cheng, Sihao, et al.
Published: (2026)
by: Cheng, Sihao, et al.
Published: (2026)
Analysis of harmonic average method for interface problems with discontinuous solutions and fluxes
by: Pan, Kejia, et al.
Published: (2025)
by: Pan, Kejia, et al.
Published: (2025)
Optimized Schwarz method for the Stokes-Darcy problem with generalized interface conditions
by: Strohbeck, Paula, et al.
Published: (2025)
by: Strohbeck, Paula, et al.
Published: (2025)
The Frenet immersed finite element method for elliptic interface problems: An error analysis
by: Adjerid, Slimane, et al.
Published: (2024)
by: Adjerid, Slimane, et al.
Published: (2024)
A scalar interface reduction for nonlinear interface problems
by: Chou, So-Hsiang
Published: (2026)
by: Chou, So-Hsiang
Published: (2026)
The Unisolvence of Lagrange Interpolation with Symmetric Interpolation Space and Nodes in High Dimension
by: Xie, Yulin, et al.
Published: (2024)
by: Xie, Yulin, et al.
Published: (2024)
Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction
by: Zheng, Yangyang, et al.
Published: (2024)
by: Zheng, Yangyang, et al.
Published: (2024)
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces
by: Chen, Zhiming, et al.
Published: (2024)
by: Chen, Zhiming, et al.
Published: (2024)
An immersed $CR$-$P_0$ element for Stokes interface problems and the optimal convergence analysis
by: Ji, Haifeng, et al.
Published: (2021)
by: Ji, Haifeng, et al.
Published: (2021)
Flux-equilibrated based a posteriori error analysis for an interface problem with CutFEM
by: capatina, Daniela, et al.
Published: (2026)
by: capatina, Daniela, et al.
Published: (2026)
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
by: Bansal, Aparna, et al.
Published: (2024)
by: Bansal, Aparna, et al.
Published: (2024)
Cross-diffusion systems coupled via a moving interface
by: Cancès, Clément, et al.
Published: (2024)
by: Cancès, Clément, et al.
Published: (2024)
A high order unfitted finite element method for time-Harmonic Maxwell interface problems
by: Chen, Zhiming, et al.
Published: (2023)
by: Chen, Zhiming, et al.
Published: (2023)
Least squares spectral element formulation of eigenvalue problems with/without interface : the one dimensional example
by: Garg, Himanshu, et al.
Published: (2025)
by: Garg, Himanshu, et al.
Published: (2025)
A fitted space-time finite element method for an advection-diffusion problem with moving interfaces
by: Nguyen, Quang Huy, et al.
Published: (2024)
by: Nguyen, Quang Huy, et al.
Published: (2024)
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
by: Borsche, Raul, et al.
Published: (2026)
by: Borsche, Raul, et al.
Published: (2026)
A deformation-based framework for learning solution mappings of PDEs defined on varying domains
by: Xiao, Shanshan, et al.
Published: (2024)
by: Xiao, Shanshan, et al.
Published: (2024)
Solving the difference initial-boundary value problems by the operator exponential method
by: Nefedov, I. M., et al.
Published: (2001)
by: Nefedov, I. M., et al.
Published: (2001)
Similar Items
-
XI-DeepONet: An operator learning method for elliptic interface problems
by: Bi, Ran, et al.
Published: (2024) -
IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
by: Zheng, Jiachun, et al.
Published: (2025) -
Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics
by: Wu, Sixu, et al.
Published: (2026) -
A posteriori error estimator for elliptic interface problems in the fictitious formulation
by: Alshehri, Najwa, et al.
Published: (2024) -
Conservative flux reconstruction for an elliptic interface problem using CutFEM
by: Capatina, Daniela, et al.
Published: (2026)