Extrinsic Meshless Collocation Methods for PDEs on Manifolds (Q5220398)

scientific article; zbMATH DE number 7180778

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English	Extrinsic Meshless Collocation Methods for PDEs on Manifolds	scientific article; zbMATH DE number 7180778

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instance of

scholarly article

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title

Extrinsic Meshless Collocation Methods for PDEs on Manifolds (English)

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published in

SIAM Journal on Numerical Analysis

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publication date

20 March 2020

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zbMATH Keywords

kernel-based methods

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Kansa methods

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radial basis functions

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convergence analysis

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describes a project that uses

Matlab

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DistMesh

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MaRDI profile type

MaRDI publication profile

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cites work

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Full gradient stabilized cut finite element methods for surface partial differential equations

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A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes

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Bulk-mediated Surface Diffusion on a Cylinder in the Fast Exchange Limit

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THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS

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A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs

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$H^2$-Convergence of Least-Squares Kernel Collocation Methods

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Q3814727

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Localized Bases for Kernel Spaces on the Unit Sphere

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Error and stability estimates for surface-divergence free RBF interpolants on the sphere

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Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates

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

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

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Meshless Collocation: Error Estimates with Application to Dynamical Systems

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

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Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces

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Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds

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A discrete scheme for parametric anisotropic surface diffusion

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On unsymmetric collocation by radial basis functions

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Numerical solution to time-dependent 4D inviscid Burgers' equations

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Multiscale Analysis in Sobolev Spaces on the Sphere

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Multiscale RBF collocation for solving PDEs on spheres

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Compactly supported radial basis functions for solving certain high order partial differential equations in 3D

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Stable and Convergent Unsymmetric Meshless Collocation Methods

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Level set equations on surfaces via the closest point method

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The imbedding problem for Riemannian manifolds

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Space-fractional advection-dispersion equations by the Kansa method

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Implicit-explicit methods for reaction-diffusion problems in pattern formation

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All well-posed problems have uniformly stable and convergent discretizations

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The chemical basis of morphogenesis

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$L^ p$-approach to mixed boundary value problems for second-order elliptic operators

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Error estimates for interpolation by compactly supported radial basis functions of minimal degree

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full work available at URL

https://doi.org/10.1137/17m1158641

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Identifiers

zbMATH Open document ID

1435.65216

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DOI

10.1137/17M1158641

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5220398