An AI-aided algorithm for multivariate polynomial reconstruction on Cartesian grids and the PLG finite difference method
Fuente:
arXiv
Saved in:
| Main Authors: | Zhang, Qinghai, Zhu, Yuke, Li, Zhixuan |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| 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)
by: Zhu, Yuke, et al.
Published: (2025)
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
by: Tan, Liwei, et al.
Published: (2024)
by: Tan, Liwei, et al.
Published: (2024)
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)
by: Sun, Yunxia, et al.
Published: (2025)
A Cartesian grid-based boundary integral method for moving interface problems
by: Zhou, Han, et al.
Published: (2023)
by: Zhou, Han, et al.
Published: (2023)
Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
by: Li, Yang, et al.
Published: (2025)
by: Li, Yang, et al.
Published: (2025)
A Fourth-Order Cut-cell Multigrid Method for Solving Elliptic Equations on Arbitrary Domains
by: Liu, Jiyu, et al.
Published: (2026)
by: Liu, Jiyu, et al.
Published: (2026)
A hybrid finite element/finite difference method for reconstruction of dielectric properties of conductive objects
by: Lindström, Eric, et al.
Published: (2024)
by: Lindström, Eric, et al.
Published: (2024)
Adaptive finite difference methods for the Willmore flow: mesh redistribution algorithm and tangential velocity approach
by: Duan, Zhenghua, et al.
Published: (2026)
by: Duan, Zhenghua, et al.
Published: (2026)
Multipoint stress mixed finite element methods for elasticity on cuboid grids
by: Yazici, Ibrahim, et al.
Published: (2025)
by: Yazici, Ibrahim, et al.
Published: (2025)
An efficient Fourier spectral algorithm for the Bogoliubov-de Gennes excitation eigenvalue problem
by: Li, Yu, et al.
Published: (2025)
by: Li, Yu, et al.
Published: (2025)
Classical multivariate Hermite coordinate interpolation on n-dimensional grids
by: Kechriniotis, Aristides I., et al.
Published: (2023)
by: Kechriniotis, Aristides I., et al.
Published: (2023)
A correction adaptive two-grid finite element method for nonselfadjoint or indefinite elliptic problems
by: Li, Fei, et al.
Published: (2026)
by: Li, Fei, et al.
Published: (2026)
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
by: Tan, Liwei, et al.
Published: (2024)
by: Tan, Liwei, et al.
Published: (2024)
Structure preserving discretization method for 1D and 2D port-Hamiltonian systems using finite differences on staggered grids
by: Alastuey, Ignacio Diaz, et al.
Published: (2025)
by: Alastuey, Ignacio Diaz, et al.
Published: (2025)
A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains
by: Qian, Yixiao, et al.
Published: (2024)
by: Qian, Yixiao, et al.
Published: (2024)
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids
by: Kong, Meijie, et al.
Published: (2023)
by: Kong, Meijie, et al.
Published: (2023)
Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods
by: Zhu, Guangyao, et al.
Published: (2025)
by: Zhu, Guangyao, et al.
Published: (2025)
A three-grid high-order immersed finite element method for the analysis of CAD models
by: Febrianto, Eky, et al.
Published: (2024)
by: Febrianto, Eky, et al.
Published: (2024)
Recursive algorithms for computing Birkhoff interpolation polynomials
by: Jiang, Xue, et al.
Published: (2025)
by: Jiang, Xue, et al.
Published: (2025)
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties
by: Clarke, M., et al.
Published: (2023)
by: Clarke, M., et al.
Published: (2023)
Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials
by: Dell'Accio, Francesco, et al.
Published: (2025)
by: Dell'Accio, Francesco, et al.
Published: (2025)
A fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries
by: Liang, Kaiyi, et al.
Published: (2025)
by: Liang, Kaiyi, et al.
Published: (2025)
Strong convergence rates of Galerkin finite element methods for SWEs with cubic polynomial nonlinearity
by: Qi, Ruisheng, et al.
Published: (2024)
by: Qi, Ruisheng, et al.
Published: (2024)
A generalized Riemann problem-based compact reconstruction method for finite volume schemes
by: Montecinos, Gino I., et al.
Published: (2026)
by: Montecinos, Gino I., et al.
Published: (2026)
Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions
by: Suzuki, Kosuke
Published: (2015)
by: Suzuki, Kosuke
Published: (2015)
A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids
by: Zhang, Shangyou
Published: (2024)
by: Zhang, Shangyou
Published: (2024)
A linear MARS method for three-dimensional interface tracking
by: Qiu, Yunhao, et al.
Published: (2025)
by: Qiu, Yunhao, et al.
Published: (2025)
A new class of finite difference methods: The zigzag schemes
by: Poggioni, Lorenzo, et al.
Published: (2025)
by: Poggioni, Lorenzo, et al.
Published: (2025)
Stable nodal projection method on octree grids
by: Blomquist, Matthew, et al.
Published: (2023)
by: Blomquist, Matthew, et al.
Published: (2023)
A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids
by: Xu, Xuejun, et al.
Published: (2024)
by: Xu, Xuejun, et al.
Published: (2024)
Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations
by: Ciarlet, Jr., Patrick, et al.
Published: (2025)
by: Ciarlet, Jr., Patrick, et al.
Published: (2025)
The stabilizer-free weak Galerkin finite element method for the Biharmonic equation using polynomials of reduced order
by: Gu, Shanshan, et al.
Published: (2024)
by: Gu, Shanshan, et al.
Published: (2024)
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains
by: Huang, Weizhang, et al.
Published: (2023)
by: Huang, Weizhang, et al.
Published: (2023)
The optimal relaxation parameter for the SOR method applied to the Poisson equation on rectangular grids with different types of boundary conditions
by: Darian, Hossein Mahmoodi
Published: (2025)
by: Darian, Hossein Mahmoodi
Published: (2025)
Filtered finite difference methods for nonlinear Schrödinger equations in semiclassical scaling
by: Shi, Yanyan, et al.
Published: (2024)
by: Shi, Yanyan, et al.
Published: (2024)
Bathymetry reconstruction via optimal control in well-balanced finite element methods for the shallow water equations
by: Ruppenthal, Falko, et al.
Published: (2026)
by: Ruppenthal, Falko, et al.
Published: (2026)
A novel finite element method for simulating surface plasmon polaritons on complex graphene sheets
by: Li, Jichun, et al.
Published: (2025)
by: Li, Jichun, et al.
Published: (2025)
Optimization of gridding algorithms for FFT by vector optimization
by: Achini, Federico, et al.
Published: (2025)
by: Achini, Federico, et al.
Published: (2025)
Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
by: Zhang, Hao, et al.
Published: (2025)
by: Zhang, Hao, et al.
Published: (2025)
Convergence analysis for minimum action methods coupled with a finite difference method
by: Hong, Jialin, et al.
Published: (2021)
by: Hong, Jialin, et al.
Published: (2021)
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) -
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
by: Tan, Liwei, et al.
Published: (2024) -
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) -
A Cartesian grid-based boundary integral method for moving interface problems
by: Zhou, Han, et al.
Published: (2023) -
Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
by: Li, Yang, et al.
Published: (2025)