Adaptive meshless centres and RBF stencils for Poisson equation
DOI10.1016/j.jcp.2010.09.005zbMath1207.65136OpenAlexW2055358678MaRDI QIDQ621901
Publication date: 31 January 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/29136/
Dirichlet problemcomparison of methodsfinite element methodnumerical experimentsadaptive methodsradial basis functionsnumerical differentiationPoisson equationmeshless methodsadaptive refinement algorithms
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical differentiation (65D25)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattered data fitting by direct extension of local polynomials to bivariate splines
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- Minimal positive stencils in meshfree finite difference methods for the Poisson equation
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Local hybrid approximation for scattered data fitting with bivariate splines
- Meshless methods: a review and computer implementation aspects
- Meshfree, probabilistic determination of point sets and support regions for meshless computing
- An \(h\)-\(p\) adaptive method using clouds
- \(hp\)-meshless cloud method
- A stabilized finite point method for analysis of fluid mechanics problems
- An \(h\)-adaptive method in the generalized finite differences
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Local multiquadric approximation for solving boundary value problems
- Multistep scattered data interpolation using compactly supported radial basis functions
- Error estimates and condition numbers for radial basis function interpolation
- On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
- To mesh or not to mesh. That is the question\(\dots \)
- A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
- Scattered node compact finite difference-type formulas generated from radial basis functions
- A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
- A new meshless collocation method for partial differential equations
- A Finite Point Method Based on Directional Differences
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- An advancing front point generation technique
- A comparison of adaptive refinement techniques for elliptic problems
- Adaptivity for structured meshfree particle methods in 2D and 3D
- Scattered Data Approximation
- The generalized finite element method
- How we solve PDEs