Adaptive RBF-FD method for elliptic problems with point singularities in 2D
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Publication:1740072
DOI10.1016/j.amc.2017.06.006zbMath1426.65156arXiv1603.07838OpenAlexW2964236658MaRDI QIDQ1740072
Dang Thi Oanh, Hoang Xuan Phu, O. V. Davydov
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.07838
Related Items (21)
Minimal numerical differentiation formulas ⋮ An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations ⋮ Theoretical Analyses on Discrete Formulae of Directional Differentials in the Finite Point Method ⋮ Octant-based stencil selection for meshless finite difference methods in 3D ⋮ Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations ⋮ Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods ⋮ \(h\)-adaptive radial basis function finite difference method for linear elasticity problems ⋮ A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs ⋮ 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 investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics ⋮ A fully Lagrangian meshfree framework for PDEs on evolving surfaces ⋮ Adaptive meshless refinement schemes for RBF-PUM collocation ⋮ A meshless finite difference method for elliptic interface problems based on pivoted QR decomposition ⋮ An Adaptive LOOCV-Based Algorithm for Solving Elliptic PDEs via RBF Collocation ⋮ Monomial augmentation guidelines for RBF-FD from accuracy versus computational time perspective ⋮ RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels ⋮ Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme ⋮ An adaptive interpolation element free Galerkin method based on a posteriori error estimation of FEM for Poisson equation ⋮ A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds
Uses Software
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