Open AccessApproximations of degree zero in the Poisson problem
Author(s) -
Cesare Davini,
F Jourdan
Publication year - 2005
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2005.4.267
Subject(s) - degree (music) , convergence (economics) , zero (linguistics) , mathematics , rate of convergence , poisson distribution , boundary value problem , mathematical analysis , mathematical optimization , computer science , physics , statistics , linguistics , philosophy , acoustics , computer network , channel (broadcasting) , economics , economic growth
We discuss a technique for the approximation of the Poisson prob-lem under mixed boundary conditions in spaces of piece-wise constant func-tions. The method adopts ideas from the theory of ¡-convergence as a guide-line. Some applications are considered and numerical evaluation of the conver-gence rate is discussed