A radial basis function method for computing Helmholtz–Hodge decompositions

DOI10.1093/imanum/drw027zbMath1433.65320arXiv1502.01575OpenAlexW2962808772MaRDI QIDQ4683770

Grady B. Wright, Edward J. Fuselier

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01575

zbMATH Keywords

radial basis functionskernel methodsvector decompositiondivergence-free approximationcurl-free approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (10)

Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method ⋮ A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations ⋮ Solving 2D parabolic equations by using time parareal coupling with meshless collocation RBFs methods ⋮ Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition ⋮ Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces ⋮ The numerical approximation of nonlinear functionals and functional differential equations ⋮ A divergence-free generalized moving least squares approximation with its application ⋮ Construction of Lyapunov functions using Helmholtz-Hodge decomposition ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem ⋮ Convolutions on the sphere: commutation with differential operators

This page was built for publication: A radial basis function method for computing Helmholtz–Hodge decompositions