Imagen de Portada

Solver-in-the-Loop joint operator learning: fractional Laplace-Beltrami features for interface reconstruction

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Zheng, Yangyang, Wei, Huayi, Cao, Shuhao, Guo, Ruchi
Formato:	Preprint
Publicado:	2024
Materias:	Numerical Analysis
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Finite Element Methods for the Laplace-Beltrami Operator
por: Bonito, Andrea, et al.
Publicado: (2019)

Noncommutative Laplacian and numerical approximation of Laplace-Beltrami spectrum of compact Riemann surfaces
por: Tageddine, Damien, et al.
Publicado: (2025)

Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud
por: Dong, Guozhi, et al.
Publicado: (2020)

Virtual element methods based on boundary triangulation:fitted and unfitted meshes
por: Guo, Ruchi
Publicado: (2024)

Mitigating spectral bias for the multiscale operator learning
por: Liu, Xinliang, et al.
Publicado: (2022)

An Enriched Immersed Finite Element Method for 3D Interface Problems
por: Guo, Ruchi, et al.
Publicado: (2025)

XI-DeepONet: An operator learning method for elliptic interface problems
por: Bi, Ran, et al.
Publicado: (2024)

High-Order Interior Penalty Finite Element Methods for Fourth-Order Phase-Field Models in Fracture Analysis
por: Tian, Tian, et al.
Publicado: (2025)

Implicit learning to determine variable sound speed and the reconstruction operator in photoacoustic tomography
por: Hwang, Gyeongha, et al.
Publicado: (2024)

Inexact Projected Preconditioned Gradient Methods with Variable Metrics: General Convergence Theory via Lyapunov Approach
por: Guo, Ruchi, et al.
Publicado: (2025)

Physics-informed machine learning for reconstruction of dynamical systems with invariant measure score matching
por: Chen, Yongsheng, et al.
Publicado: (2026)

Solving parametric elliptic interface problems via interfaced operator network
por: Wu, Sidi, et al.
Publicado: (2023)

Conservative flux reconstruction for an elliptic interface problem using CutFEM
por: Capatina, Daniela, et al.
Publicado: (2026)

Simultaneously reconstructing potentials and internal sources for fractional Schrödinger equations
por: Li, Xinyan
Publicado: (2024)

Fast and accurate approximations to fractional powers of operators
por: Aceto, Lidia, et al.
Publicado: (2020)

On the Inversion of Polynomials of Discrete Laplace Matrices
por: Asghar, Sabia, et al.
Publicado: (2025)

Learning-based approaches for reconstructions with inexact operators in nanoCT applications
por: Lütjen, Tom, et al.
Publicado: (2023)

Pressure-robustness in Stokes-Darcy Optimal Control Problem with reconstruction operator
por: Li, Jingshi, et al.
Publicado: (2025)

Padé-type approximations to the resolvent of fractional powers of operators
por: Aceto, Lidia, et al.
Publicado: (2019)

On the one-dimensional SPH approximation of fractional-order operators
por: Ghorbani, Khashayar, et al.
Publicado: (2025)

Fast deep learning based reconstruction for limited angle tomography
por: Salomonsson, Knut, et al.
Publicado: (2024)

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia
por: Qu, Qingyu, et al.
Publicado: (2025)

Fault Oblivious Eigenvalue Solver
por: Mukherjee, Jayanta, et al.
Publicado: (2025)

Physics informed learning of orthogonal features with applications in solving partial differential equations
por: Jia, Qianxing, et al.
Publicado: (2026)

Convergence Guarantees for Gradient-Based Training of Neural PDE Solvers: From Linear to Nonlinear PDEs
por: Zhao, Wei, et al.
Publicado: (2025)

Rational approximations to fractional powers of self-adjoint positive operators
por: Aceto, Lidia, et al.
Publicado: (2018)

Deep set based operator learning with uncertainty quantification
por: Ma, Lei, et al.
Publicado: (2025)

Finite element discretization of weighted $Φ$-Laplace problems
por: Otarola, Enrique, et al.
Publicado: (2024)

Laguerre- and Laplace-weighted integration of mixed-smoothness functions
por: Dũng, Dinh
Publicado: (2025)

Dual Variational Neural Network for the $p$-Laplace Problem
por: Hu, Tianhao, et al.
Publicado: (2026)

A numerical method for reconstructing the potential in fractional Calderón problem with a single measurement
por: Li, Xinyan
Publicado: (2024)

Refined localization spaces, Kondratiev spaces with fractional smoothness and extension operators
por: Hansen, Markus, et al.
Publicado: (2024)

A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium
por: von Wahl, Henry, et al.
Publicado: (2022)

fOGA: Orthogonal Greedy Algorithm for Fractional Laplace Equations
por: Shan, Ruitong, et al.
Publicado: (2024)

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations
por: Cao, Yangyang, et al.
Publicado: (2025)

A GPU-Accelerated Matrix-Free FAS Multigrid Solver for Navier-Stokes Equations with Memory-Efficient Implementations
por: Meng, Jiale, et al.
Publicado: (2025)

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
por: Faustmann, Markus, et al.
Publicado: (2019)

A fast Solver for Pentadiagonal Toeplitz Systems
por: Hasanbeigi, Shahin
Publicado: (2024)

A Unified Variational Functional for Equidistribution and Alignment in Moving Mesh Adaptation
por: Wang, Wenbin, et al.
Publicado: (2026)

An alternating approach for reconstructing the initial value and source term in a time-fractional diffusion-wave equation
por: Zhang, Yun, et al.
Publicado: (2025)