Copertina

Kernel-learning parameter prediction and evaluation in algebraic multigrid method for several PDEs

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Luo, Junyue, Yue, Xiaoqiang, Zhang, Fangfang, Zhang, Juan
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Numerical Analysis
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Convergent analysis of algebraic multigrid method with data-driven parameter learning for non-selfadjoint elliptic problems
di: Zhang, Juan, et al.
Pubblicazione: (2024)

A structure preserving H-curl algebraic multigrid method for the eddy current equations
di: Tuminaro, Raymond, et al.
Pubblicazione: (2025)

$hp$-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs
di: Innerberger, Michael, et al.
Pubblicazione: (2022)

Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
di: Krzysik, Oliver A., et al.
Pubblicazione: (2025)

Smoothers with localized residual computations for geometric multigrid methods
di: Wichrowski, Michał, et al.
Pubblicazione: (2024)

Homogeneous multigrid for hybrid discretizations: application to HHO methods
di: Di Pietro, Daniele A., et al.
Pubblicazione: (2024)

Matrix-free implementation of the non-nested multigrid method
di: Feder, Marco, et al.
Pubblicazione: (2024)

Vertex-based auxiliary space multigrid method and its application to linear elasticity equations
di: Li, Jiayin, et al.
Pubblicazione: (2025)

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
di: Xu, Zhi-Qin John, et al.
Pubblicazione: (2025)

A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains
di: Qian, Yixiao, et al.
Pubblicazione: (2024)

Neural Evolutionary Kernel Method: A Knowledge-Guided Framework for Solving Evolutionary PDEs
di: Ling, Shuo, et al.
Pubblicazione: (2026)

Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
di: Bolten, Matthias, et al.
Pubblicazione: (2024)

Deep learning methods for stochastic Galerkin approximations of elliptic random PDEs
di: Musco, Fabio, et al.
Pubblicazione: (2024)

A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring
di: Ahmad, Danyal, et al.
Pubblicazione: (2024)

A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian
di: Zhou, Shiping, et al.
Pubblicazione: (2023)

A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
di: Xu, Songzhe, et al.
Pubblicazione: (2025)

Three-precision iterative refinement with parameter regularization and prediction for solving large sparse linear systems
di: Ge, Jifeng, et al.
Pubblicazione: (2025)

Accelerating multigrid solver with generative super-resolution
di: Holguin, Francisco, et al.
Pubblicazione: (2024)

Solving time-fractional diffusion equations with Robin boundary conditions via fractional Hamiltonian boundary value methods
di: Luo, Qian, et al.
Pubblicazione: (2025)

A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines
di: Wimmer, Golo A., et al.
Pubblicazione: (2023)

Antisymmetry, pseudospectral methods, and conservative PDEs
di: McLachlan, Robert, et al.
Pubblicazione: (1999)

Reproducing kernel methods for machine learning, PDEs, and statistics
di: LeFloch, Philippe G., et al.
Pubblicazione: (2024)

A preconditioned iteration method for solving saddle point problems
di: Zhang, Juan, et al.
Pubblicazione: (2024)

An adaptive finite element multigrid solver using GPU acceleration
di: Liebchen, Manuel, et al.
Pubblicazione: (2024)

MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
di: Xie, Yan, et al.
Pubblicazione: (2023)

Machine learning-based parameter optimization for Müntz spectral methods
di: Zeng, Wei, et al.
Pubblicazione: (2025)

Unstructured to structured: geometric multigrid on complex geometries via domain remapping
di: Nytko, Nicolas, et al.
Pubblicazione: (2025)

Exploiting mesh structure to improve multigrid performance for saddle point problems
di: Spies, Lukas, et al.
Pubblicazione: (2024)

An efficient multiscale multigrid preconditioner for Darcy flow in high-contrast media
di: Ye, Changqing, et al.
Pubblicazione: (2024)

Achieving $h$- and $p$-robust monolithic multigrid solvers for the Stokes equations
di: Rafiei, Amin, et al.
Pubblicazione: (2024)

An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology
di: Feder, Marco, et al.
Pubblicazione: (2026)

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
di: Brunner, Maximilian, et al.
Pubblicazione: (2024)

On the recursive structure of multigrid cycles
di: Avnat, Or, et al.
Pubblicazione: (2020)

An adaptive stabilized trace finite element method for surface PDEs
di: Heister, Timo, et al.
Pubblicazione: (2023)

A-posteriori-steered $p$-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
di: Miraçi, Ani, et al.
Pubblicazione: (2024)

Fast and accurate multigrid solution of Poissons equation using diagonally oriented grids
di: Roberts, A. J.
Pubblicazione: (1999)

Solving advection equations with reduction multigrids on GPUs
di: Dargaville, S., et al.
Pubblicazione: (2025)

Deep Picard Iteration for High-Dimensional Nonlinear PDEs
di: Han, Jiequn, et al.
Pubblicazione: (2024)

Error Analysis of Krylov Subspace approximation Based on IDR($s$) Method for Matrix Function Bilinear Forms
di: Xue, Qianqian, et al.
Pubblicazione: (2025)

Pseudospectral method for solving PDEs using Matrix Product States
di: Gidi, Jorge, et al.
Pubblicazione: (2024)