Cover Image

A Higher Order Local Mesh Method for Approximating 1-Laplacians on Unknown Manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Peoples, John Wilson, Harlim, John
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary
by: Peoples, J. Wilson, et al.
Published: (2021)

Solving PDEs on Unknown Manifolds with Machine Learning
by: Liang, Senwei, et al.
Published: (2021)

Higher-Order Finite Difference Methods for the Tempered Fractional Laplacian
by: Wang, Mingyi, et al.
Published: (2026)

A model-free method for discovering symmetry in differential equations
by: Kreider, Max, et al.
Published: (2025)

Learning solution operator of dynamical systems with diffusion maps kernel ridge regression
by: Song, Jiwoo, et al.
Published: (2025)

A Second-Order Nonlocal Approximation to Manifold Poisson Models with Neumann Boundary
by: Zhang, Yajie, et al.
Published: (2024)

Generalized Moving Least-Squares Methods for Solving Vector-valued PDEs on Unknown Manifolds
by: Li, Rongji, et al.
Published: (2024)

Local Relaxation Fast Poisson Methods on Hierarchical Meshes
by: Xu, Zhenli, et al.
Published: (2026)

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

Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators
by: Jiao, Anran, et al.
Published: (2024)

Local Reduced-Order Modeling for Electrostatic Plasmas by Physics-Informed Solution Manifold Decomposition
by: Tsai, Ping-Hsuan, et al.
Published: (2023)

Higher-Order Corrections to Optimisers based on Newton's Method
by: Brooks, S. J.
Published: (2023)

Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes
by: Qiao, Zhonghua, et al.
Published: (2023)

A Local Fourier Extension Method for Function Approximation
by: Zhao, Zhenyu, et al.
Published: (2025)

A Nonconforming Finite Element Method for Elliptic Interface Problems on Locally Anisotropic Meshes
by: Geng, Chenchen, et al.
Published: (2025)

Higher Order Unfitted Space-Time Methods for Transport Problems
by: Burman, Erik, et al.
Published: (2025)

High Order Boundary Extrapolation Technique for Finite Difference Methods on Complex Domains with Cartesian Meshes
by: Baeza, Antonio, et al.
Published: (2025)

Geometric local parameterization for solving Hele-Shaw problems with surface tension
by: Zhang, Zengyan, et al.
Published: (2025)

Learning Coarse-Grained Dynamics on Graph
by: Yu, Yin, et al.
Published: (2024)

High Order Weighted Extrapolation for Boundary Conditions for Finite Difference Methods on Complex Domains with Cartesian Meshes
by: Baeza, Antonio, et al.
Published: (2025)

Local Multilevel Preconditioned Jacobi-Davidson Method for Elliptic Eigenvalue Problems on Adaptive Meshes
by: Guo, Jianing, et al.
Published: (2025)

Nyström Approximation on Manifolds
by: Nie, Hantao, et al.
Published: (2026)

Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
by: Li, Yuwen, et al.
Published: (2025)

Higher-Order Multiscale Computational Method for Multi-Continuum Problems in Highly Heterogeneous Media
by: Dong, Hao, et al.
Published: (2026)

The Numerical Approximation of Caputo Fractional Derivative of Higher Orders Using A Shifted Gegenbauer Pseudospectral Method: Two-Point Boundary Value Problems of the Bagley Torvik Type Case Study
by: Elgindy, Kareem T.
Published: (2025)

Local convergence of the FEM for the integral fractional Laplacian
by: Faustmann, Markus, et al.
Published: (2020)

Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become?
by: Sorgente, Tommaso, et al.
Published: (2024)

A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems
by: Heimann, Fabian
Published: (2024)

Faster Diffusion Models via Higher-Order Approximation
by: Li, Gen, et al.
Published: (2025)

QRP Variation of Cross--Approximation Iterations for Low Rank Approximation
by: Pan, Victor Y., et al.
Published: (2018)

Higher Order Multidimensional Slope Limiters with Local Maximum Principles
by: Woodfield, James
Published: (2024)

Geometry Error Analysis of a parametric mapping for Higher Order Unfitted Space-Time Methods
by: Heimann, Fabian, et al.
Published: (2023)

A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes
by: Chen, L., et al.
Published: (2024)

A Moving Mesh Isogeometric Method Based on Harmonic Maps
by: Wang, Tao, et al.
Published: (2025)

High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity
by: Mittal, Ketan, et al.
Published: (2026)

A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms
by: Guzmán, Johnny, et al.
Published: (2025)

A Patchwise Local Fourier Extension Method for Function Approximation on General Two-Dimensional Domains
by: Zhao, Zhenyu, et al.
Published: (2026)

PDE-Constrained High-Order Mesh Optimization
by: Kolev, Tzanio, et al.
Published: (2025)

Beyond Free-Stream Preservation: Transport Polynomial Exactness for Moving-Mesh Methods under Arbitrary Mesh Motion
by: Cai, Chaoyi, et al.
Published: (2026)

CUR Low Rank Approximation of a Matrix at Sublinear Cost
by: Go, Soo, et al.
Published: (2019)