Meshless Pseudo-Polyharmonic Divergence-Free and Curl-Free Vector Fields Approximation

DOI10.1137/080743743zbMath1257.41008OpenAlexW1993831627MaRDI QIDQ5392371

Abderrahman Bouhamidi, Mohammed-Najib Benbourhim

Publication date: 8 April 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080743743

zbMATH Keywords

radial basis functionsapproximation theorymeshless approximationdivergence-freeHelmholtz-Hodge decompositioncurl-free

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Numerical interpolation (65D05) Approximation with constraints (41A29) Spline approximation (41A15) Algorithms for approximation of functions (65D15)

Related Items (7)

Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method ⋮ Divergence-free quasi-interpolation ⋮ Kernel-Based Discretization for Solving Matrix-Valued PDEs ⋮ Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces ⋮ A divergence-free generalized moving least squares approximation with its application ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem ⋮ A Meshfree Method for a PDE-Constrained Optimization Problem

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