Enhancing RBF-FD efficiency for highly non-uniform node distributions via adaptivity
DOI10.4208/NMTMA.OA-2023-0095MaRDI QIDQ6662395
Pankaj Kumar Mishra, Mrinal K. Sen, Siqing Li, L. Ling, Xin Liu, Jing Zhang
Publication date: 14 January 2025
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
radial basis functionspartial differential equationsconvergence orderpolynomial refinementadaptive stencilmeshless finite difference
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)
Cites Work
- Title not available (Why is that?)
- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7--9, 2015
- RBF-FD formulas and convergence properties
- Stabilization of RBF-generated finite difference methods for convective PDEs
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- An RBF-FD closest point method for solving PDEs on surfaces
- On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
- A collection of 2D elliptic problems for testing adaptive grid refinement algorithms
- Meshfree explicit local radial basis function collocation method for diffusion problems
- Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces
- The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD
- Fast generation of 2-D node distributions for mesh-free PDE discretizations
- Meshless symplectic and multi-symplectic local RBF collocation methods for Hamiltonian PDEs
- A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
- On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries
- A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems
- A computational tool for comparing all linear PDE solvers
- A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces
- Frequency optimized RBF-FD for wave equations
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Local RBF-FD solutions for steady convection–diffusion problems
- Solving PDEs with radial basis functions
- Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials
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