A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties

DOI10.1137/20M1320079zbMath1472.65153arXiv2003.03132OpenAlexW3158280235MaRDI QIDQ4986845

Igor Tominec, Elisabeth Larsson, Alfa R. H. Heryudono

Publication date: 28 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03132

zbMATH Keywords

partial differential equationleast squaresradial basis functionNeumann conditionelliptic problemRBF-FD

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical radial basis function approximation (65D12)

Related Items

An efficient local RBF-based method for elasticity problems involving multiple material phases, Solving 3D magnetohydrostatics with RBF-FD: applications to the solar corona, An ALE meshfree method for surface PDEs coupling with forced mean curvature flow, An improved local radial basis function method for solving small-strain elasto-plasticity, Towards stability results for global radial basis function based quadrature formulas, 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, Energy-stable global radial basis function methods on summation-by-parts form, Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws

Uses Software

• Matlab
• DistMesh
• GitHub
• rbf-fd

Cites Work

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