A weak-form RBF-generated finite difference method (Q2308478)

scientific article

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English	A weak-form RBF-generated finite difference method	scientific article

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instance of

scholarly article

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title

A weak-form RBF-generated finite difference method (English)

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3 April 2020

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zbMATH Keywords

radial basis functions

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finite difference method

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partial differential equations

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Petrov-Galerkin method

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convergence analysis

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describes a project that uses

rbf_qr

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2019.11.024

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cites work

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

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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations

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A Stable Algorithm for Flat Radial Basis Functions on a Sphere

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Stable calculation of Gaussian-based RBF-FD stencils

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Stable Computations with Gaussian Radial Basis Functions

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Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions

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Stable computation of multiquadric interpolants for all values of the shape parameter

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A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere

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Stabilization of RBF-generated finite difference methods for convective PDEs

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Solving PDEs with radial basis functions

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All well-posed problems have uniformly stable and convergent discretizations

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Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods

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Q4018018

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Meshless Galerkin methods using radial basis functions

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Galerkin approximation for elliptic PDEs on spheres

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A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics

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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

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Scattered Data Approximation

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Stability of kernel-based interpolation

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A Newton basis for kernel spaces

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Bases for kernel-based spaces

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A new stable basis for radial basis function interpolation

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Fast computation of orthonormal basis for RBF spaces through Krylov space methods

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Stable computations with flat radial basis functions using vector-valued rational approximations

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Error Analysis of Nodal Meshless Methods

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Q4440838

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

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Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations

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Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations

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Q5683765

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1437.65160

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2019.11.024

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Sitelinks

Mathematics(1 entry)

mardi Publication:2308478