Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations
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Publication:1674685
DOI10.1016/j.jcp.2016.08.045zbMath1422.65328OpenAlexW2516083712MaRDI QIDQ1674685
Xiaozhe Hu, Nathaniel Trask, Martin R. Maxey
Publication date: 26 October 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.08.045
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- A high order meshless method with compact support
- Recent advances on radial basis function collocation methods
- Minimal positive stencils in meshfree finite difference methods for the Poisson equation
- Mimetic finite difference method
- The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems
- Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
- Compact finite difference schemes with spectral-like resolution
- A mesh-free finite point method for advective-diffusive transport and fluid flow problems
- An SPH projection method
- Modeling low Reynolds number incompressible flows using SPH
- A scalable consistent second-order SPH solver for unsteady low Reynolds number flows
- Adaptive RBF-FD method for elliptic problems with point singularities in 2D
- Essentially compact schemes for unsteady viscous incompressible flows
- Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
- An overview of projection methods for incompressible flows
- Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body-water slam and efficient wave-body interaction
- A staggered compact finite difference formulation for the compressible Navier-Stokes equations
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Error bounds for kernel-based numerical differentiation
- A robust weakly compressible SPH method and its comparison with an incompressible SPH
- Smoothed Particle Hydrodynamics and Its Diverse Applications
- Performance of algebraic multigrid methods for non-symmetric matrices arising in particle methods
- An interpolation method for an irregular net of nodes
- Finite Difference Methods for the Stokes and Navier–Stokes Equations
- Numerical solution of saddle point problems
- Surfaces Generated by Moving Least Squares Methods
- Iterative Methods by Space Decomposition and Subspace Correction
- Element‐free Galerkin methods
- Point collocation methods using the fast moving least-square reproducing kernel approximation
- A contribution to the hydrodynamics of lubrication
- Finite Elements
- Error estimates for moving least square approximations