Error Analysis of Nodal Meshless Methods
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Publication:4554198
DOI10.1007/978-3-319-51954-8_7zbMath1406.65131arXiv1612.07550OpenAlexW2582080224MaRDI QIDQ4554198
Publication date: 13 November 2018
Published in: Meshfree Methods for Partial Differential Equations VIII (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07550
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Algorithms for approximation of functions (65D15) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (12)
Minimal numerical differentiation formulas ⋮ Direct approximation on spheres using generalized moving least squares ⋮ Improved stencil selection for meshless finite difference methods in 3D ⋮ The D-RBF-PU method for solving surface PDEs ⋮ 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 meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres ⋮ A weak-form RBF-generated finite difference method ⋮ Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach ⋮ The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs ⋮ A compact radial basis function partition of unity method
Cites Work
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- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- Greedy sparse linear approximations of functionals from nodal data
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Convergence order estimates of meshless collocation methods using radial basis functions
- Elementary \(m\)-harmonic cardinal B-splines
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Solving partial differential equations by collocation using radial basis functions
- Meshless methods: An overview and recent developments
- On unsymmetric collocation by radial basis functions
- A comparison of three explicit local meshless methods using radial basis functions
- Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
- A computational tool for comparing all linear PDE solvers
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Error bounds for kernel-based numerical differentiation
- Error Estimates in Sobolev Spaces for Moving Least Square Approximations
- Local polynomial reproduction and moving least squares approximation
- Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
- On generalized moving least squares and diffuse derivatives
- A Comparative Study of Global and Local Meshless Methods for Diffusion-Reaction Equation
- From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
- Point collocation methods using the fast moving least-square reproducing kernel approximation
- An inverse theorem for compact Lipschitz regions in ℝ^{𝕕} using localized kernel bases
- Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
- Scattered Data Approximation
- Error estimates for moving least square approximations
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