A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces (Q6539836)

scientific article; zbMATH DE number 7849391

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English	A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces	scientific article; zbMATH DE number 7849391

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instance of

scholarly article

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title

A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces (English)

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Engineering Analysis with Boundary Elements

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publication date

15 May 2024

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zbMATH Keywords

radial basis function

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RBF-PU method

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convection-diffusion equations on surfaces

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multivariate polynomials

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MaRDI profile type

Publication

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cites work

Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions

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The D-RBF-PU method for solving surface PDEs

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A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces

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The surface finite element method for pattern formation on evolving biological surfaces

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Local meshless methods for second order elliptic interface problems with sharp corners

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An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains

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RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces

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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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A closed-form formula for the RBF-based approximation of the Laplace-Beltrami operator

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

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On using radial basis functions in a ``finite difference mode'' with applications to elasticity problems

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A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs

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The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs

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Monomial augmentation guidelines for RBF-FD from accuracy versus computational time perspective

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A compact radial basis function partition of unity method

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Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme

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A stable RBF partition of unity local method for elliptic interface problems in two dimensions

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RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes

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A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications

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Stable Evaluation of Gaussian Radial Basis Function Interpolants

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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 Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds

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

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Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds

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Q3446085

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

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Equidistributed icosahedral configurations on the sphere

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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

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Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method

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

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Identifiers

zbMATH Open document ID

1537.65106

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Mathematics Subject Classification ID

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10.1016/J.ENGANABOUND.2023.05.054

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Sitelinks

Mathematics(1 entry)

mardi Publication:6539836