Cover Image

A Fourth-Order Cut-cell Multigrid Method for Solving Elliptic Equations on Arbitrary Domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Jiyu, Li, Zhixuan, Yan, Jiatu, Li, Zhiqi, Zhang, Qinghai
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Fast Fourth-Order Cut Cell Method for Solving Elliptic Equations in Two-Dimensional Irregular Domains
by: Zhu, Yuke, et al.
Published: (2025)

Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-dimensional Advection Equation on Arbitrarily Complex Domains
by: Sun, Yunxia, et al.
Published: (2025)

Convergence Analysis of the Hessian Discretisation Method for Fourth Order Semi-linear Elliptic Equations with General Source
by: Shylaja, Devika
Published: (2026)

GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions
by: Li, Yang, et al.
Published: (2024)

An AI-aided algorithm for multivariate polynomial reconstruction on Cartesian grids and the PLG finite difference method
by: Zhang, Qinghai, et al.
Published: (2024)

Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems
by: Alshehri, Najwa, et al.
Published: (2025)

Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations
by: Voronin, Alexey, et al.
Published: (2024)

Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
by: Li, Yang, et al.
Published: (2025)

Fourth‐ and Higher‐Order Finite Element Methods for the Incompressible Navier–Stokes Equations With Dirichlet Boundary Conditions
by: Yang Li, et al.
Published: (2025)

A Least-Squares Weak Galerkin Method for Second-Order Elliptic Equations in Non-Divergence Form
by: Wang, Chunmei, et al.
Published: (2026)

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

Consistent CutPINNs for Elliptic PDEs on Curved Level-Set Domains
by: Singh, Maneesh Kumar
Published: (2026)

Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations
by: Voronin, Alexey, et al.
Published: (2023)

A Domain Decomposition Deep Neural Network Method with Multi-Activation Functions for Solving Elliptic and Parabolic Interface Problems
by: Zhai, Qijia
Published: (2025)

Domain Decomposition Subspace Neural Network Method for Solving Linear and Nonlinear Partial Differential Equations
by: Fu, Zhenxing, et al.
Published: (2025)

Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
by: Feng, Qiwei, et al.
Published: (2025)

A Geometric Multigrid Preconditioner for Shifted Boundary Method
by: Wichrowski, Michał, et al.
Published: (2026)

High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations
by: Li, Shun, et al.
Published: (2024)

An Unsupervised Network Architecture Search Method for Solving Partial Differential Equations
by: Li, Qing, et al.
Published: (2025)

A Simple Weak Galerkin Finite Element Method for a Class of Fourth-Order Problems in Fluorescence Tomography
by: Wang, Chunmei, et al.
Published: (2025)

Integrating Additive Multigrid with Multipreconditioned Conjugate Gradient Method
by: Kothari, Hardik, et al.
Published: (2024)

Solving Maxwell's Equations with Mimetic Methods
by: Corbino, Johnny
Published: (2026)

Deep Domain Decomposition Method for Solving the Variational Inequality Problems
by: Wang, Yiyang, et al.
Published: (2026)

A Third-order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters
by: Gui, Yan, et al.
Published: (2024)

An Adaptive Reconstruction Method for Arbitrary High-Order Accuracy Using Discontinuity Feedback
by: Zhang, Hong, et al.
Published: (2024)

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

On a Nonuniform Crank-Nicolson Scheme for Solving the Stochastic Kawarada Equation via Arbitrary Grids
by: Padgett, Joshua L, et al.
Published: (2019)

A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
by: Wichrowski, Michal
Published: (2025)

Accelerating Algebraic Multigrid Methods via Artificial Neural Networks
by: Antonietti, Paola F., et al.
Published: (2021)

Stochastic Multigrid Method for Blind Ptychographic Phase Retrieval
by: Zhang, Borong, et al.
Published: (2025)

Data Generation-based Operator Learning for Solving Partial Differential Equations on Unbounded Domains
by: Wang, Jihong, et al.
Published: (2023)

Robust and Optimal Mixed Methods for a Fourth-Order Elliptic Singular Perturbation Problem
by: Huang, Xuehai, et al.
Published: (2025)

An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes
by: Taylor, Christina G., et al.
Published: (2024)

A Stochastic Method for Solving Time-Fractional Differential Equations
by: Guidotti, Nicolas L., et al.
Published: (2023)

Vector Extrapolation Methods Applied To Geometric Multigrid Solvers For Isogeometric Analysis
by: Mouhssine, Abdellatif, et al.
Published: (2024)

A Symmetric Multigrid-Preconditioned Krylov Subspace Solver for Stokes Equations
by: Tao, Yutian, et al.
Published: (2023)

A Robust Learning-Based Method for the Helmholtz Equation in Dissipative Media and Complex Domains
by: Song, Lifu, et al.
Published: (2026)

Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations
by: Negi, Pawan, et al.
Published: (2024)

Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
by: Burman, Erik, et al.
Published: (2026)

Adaptive Hyperbolic-cross-space Mapped Jacobi Method on Unbounded Domains with Applications to Solving Multidimensional Spatiotemporal Integrodifferential Equations
by: Deng, Yunhong, et al.
Published: (2024)