A wavelet-based adaptive finite element method for advection-diffusion equations

Autor:	Claudio Canuto, I. Cravero
Jazyk:	angličtina
Rok vydání:	1997
Předmět:	Mathematical optimization Delaunay triangulation Applied Mathematics Mixed finite element method Grid Finite element method Regular grid Wavelet Mesh generation Modeling and Simulation Applied mathematics ComputingMethodologies_COMPUTERGRAPHICS Mathematics Extended finite element method
Popis:	We propose a wavelet-based procedure for adapting a finite element mesh to the structure of the solution. After a finite element solution is computed on a given unstructured mesh, it is wavelet-analyzed on a superimposed regular dyadic grid; the analysis leads to an adapted distribution of grid points, which defines the new unstructured mesh via a Delaunay triangulation. Several examples of discretizations of steady convection-diffusion problems in the convection-dominated regime indicate the feasibility of our approach.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::741dcf0d62a2d674d9c84b851b003a81 http://hdl.handle.net/2318/21794 Zobrazit plný text záznamu