Spectral methods for solving elliptic PDEs on unknown manifolds (Q6147101)

scientific article; zbMATH DE number 7788137

Language	Label	Description	Also known as
English	Spectral methods for solving elliptic PDEs on unknown manifolds	scientific article; zbMATH DE number 7788137

Statements

instance of

scholarly article

0 references

title

Spectral methods for solving elliptic PDEs on unknown manifolds (English)

0 references

author

Qile Yan

0 references

Shixiao Willing Jiang

0 references

John Harlim

0 references

published in

Journal of Computational Physics

0 references

publication date

15 January 2024

0 references

full work available at URL

https://arxiv.org/abs/2210.10527

0 references

zbMATH Keywords

radial basis function

0 references

Galerkin approximation

0 references

elliptic PDEs solver

0 references

point cloud data

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Variable bandwidth diffusion kernels

0 references

Iterated diffusion maps for feature identification

0 references

Variational problems and partial differential equations on implicit surfaces

0 references

Some comments on the ill-conditioning of the method of fundamental solutions

0 references

Diffusion maps

0 references

Eigenvalues of the Laplacian on a compact manifold with density

0 references

Some isoperimetric inequalities and eigenvalue estimates

0 references

Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data

0 references

Finite element methods for surface PDEs

0 references

Modeling and computation of two phase geometric biomembranes using surface finite elements

0 references

Q5189317

0 references

On choosing ``optimal'' shape parameters for RBF approximation

0 references

Preconditioning of Radial Basis Function Interpolation Systems via Accelerated Iterated Approximate Moving Least Squares Approximation

0 references

On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy

0 references

Solving PDEs with radial basis functions

0 references

Stable Computations with Gaussian Radial Basis Functions

0 references

A Stable Algorithm for Flat Radial Basis Functions on a Sphere

0 references

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

0 references

Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs

0 references

A high-order kernel method for diffusion and reaction-diffusion equations on surfaces

0 references

Approximating solutions of linear elliptic PDE's on a smooth manifold using local kernel

0 references

Q5689624

0 references

The volume of a small geodesic ball of a Riemannian manifold

0 references

An improvement of a recent Eulerian method for solving PDEs on general geometries

0 references

Spectral numerical exterior calculus methods for differential equations on radial manifolds

0 references

Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach

0 references

Data-Driven Computational Methods

0 references

Graph-based prior and forward models for inverse problems on manifolds with boundaries

0 references

Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds

0 references

Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions

0 references

A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces

0 references

A Convergent Point Integral Method for Isotropic Elliptic Equations on a Point Cloud

0 references

Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

0 references

Solving Partial Differential Equations on Point Clouds

0 references

The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces

0 references

A numerical approach for fluid deformable surfaces

0 references

An RBF-FD closest point method for solving PDEs on surfaces

0 references

The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces

0 references

A finite area scheme for shallow granular flows on three-dimensional surfaces

0 references

A simple embedding method for solving partial differential equations on surfaces

0 references

Kinetics of phase ordering on curved surfaces

0 references

A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces

0 references

Weighted nonlocal Laplacian on interpolation from sparse data

0 references

A meshfree generalized finite difference method for surface PDEs

0 references

Partial differential equations. I: Basic theory

0 references

An Introduction to Matrix Concentration Inequalities

0 references

Tangent space estimation for smooth embeddings of Riemannian manifolds

0 references

FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling

0 references

Scattered Data Approximation

0 references

An Eulerian formulation for solving partial differential equations along a moving interface

0 references

Kernel-based methods for solving time-dependent advection-diffusion equations on manifolds

0 references

Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment

0 references

Identifiers

arXiv ID

2210.10527

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1016/J.JCP.2023.112132

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6147101