An approach to refinement of irregular clouds of points using generalized finite differences
From MaRDI portal
Publication:1665228
DOI10.1155/2015/283757zbMath1394.65128OpenAlexW1562825902WikidataQ59117854 ScholiaQ59117854MaRDI QIDQ1665228
Francisco Ureña, Juan José Benito, Luis Gavete, Maria Lucia Gavete
Publication date: 27 August 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/283757
Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
Solving a fully parabolic chemotaxis system with periodic asymptotic behavior using generalized finite difference method ⋮ Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM) ⋮ A meshless numerical method for a system with intraspecific and interspecific competition ⋮ Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis ⋮ Solving elliptical equations in 3D by means of an adaptive refinement in generalized finite differences ⋮ A hybrid method and unified analysis of generalized finite differences and Lagrange finite elements ⋮ Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D ⋮ Solving the telegraph equation in 2-d and 3-d using generalized finite difference method (GFDM) ⋮ The use of generalized finite difference method in perfectly matched layer analysis ⋮ On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using generalized finite differences ⋮ Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mesh adaptations for linear 2D finite-element discretizations in structural mechanics, especially in thin shell analysis
- Meshless methods: a review and computer implementation aspects
- An introduction to SPH
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Influence of several factors in the generalized finite difference method
- An \(h\)-adaptive method in the generalized finite differences
- Improvements of generalized finite difference method and comparison with other meshless method
- Overview and recent advances in natural neighbour Galerkin methods
- Higher order multipoint method -- from Collatz to meshless FDM
- Application of the Generalized Finite Difference Method to improve the approximated solution of pdes
- Meshfree Particle Methods
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- Surfaces Generated by Moving Least Squares Methods
- Why Particle Methods Work
- The natural element method in solid mechanics
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- THE PARTITION OF UNITY METHOD
- A gradient-based adaptation procedure and its implementation in the element-free Galerkin method
- Reproducing kernel particle methods for structural dynamics
- A posteriorierror estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs
This page was built for publication: An approach to refinement of irregular clouds of points using generalized finite differences