Optimal stencils in Sobolev spaces

From MaRDI portal
Publication:5113340

DOI10.1093/imanum/drx076zbMath1483.65170arXiv1611.04750OpenAlexW2562220820MaRDI QIDQ5113340

Robert Schaback, O. V. Davydov

Publication date: 4 June 2020

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

Full work available at URL: https://arxiv.org/abs/1611.04750



Related Items

Minimal numerical differentiation formulas, Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs, MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces, A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment, Octant-based stencil selection for meshless finite difference methods in 3D, Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives, An iterated quasi-interpolation approach for derivative approximation, A fault detection method based on partition of unity and kernel approximation, Improved stencil selection for meshless finite difference methods in 3D, Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices, Error bounds for a least squares meshless finite difference method on closed manifolds, Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization, A meshless finite difference method for elliptic interface problems based on pivoted QR decomposition, A rational RBF interpolation with conditionally positive definite kernels, An RBF-FD closest point method for solving PDEs on surfaces, Approximation with conditionally positive definite kernels on deficient sets, A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds, A weak-form RBF-generated finite difference method, The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs, A compact radial basis function partition of unity method