A posteriorierror estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs

DOI10.1080/00207160601167052zbMath1138.65098OpenAlexW2032026768MaRDI QIDQ5459724

Juan José Benito, Francisco Ureña, B. Alonso, Luis Gavete

Publication date: 29 April 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160601167052

zbMATH Keywords

numerical examplesadaptive methodmeshless methodsgeneralized finite differencesA posteriori error approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates ⋮ Modelling of the advection–diffusion equation with a meshless method without numerical diffusion ⋮ An approach to refinement of irregular clouds of points using generalized finite differences ⋮ The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ A note on the application of the generalized finite difference method to seismic wave propagation in 2D ⋮ Application of the generalized finite difference method to solve the advection-diffusion equation ⋮ Solving elliptical equations in 3D by means of an adaptive refinement in generalized finite differences ⋮ An adaptive edge-based smoothed point interpolation method for mechanics problems

Cites Work

• Influence of several factors in the generalized finite difference method
• Meshless methods: An overview and recent developments
• An \(h\)-adaptive method in the generalized finite differences
• An interpolation method for an irregular net of nodes
• The finite difference method at arbitrary irregular grids and its application in applied mechanics

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