Premium
A cell boundary element method for elliptic problems
Author(s) -
Jeon Youngmok,
Park EunJae,
Sheen Dongwoo
Publication year - 2005
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20047
Subject(s) - mathematics , boundary element method , finite element method , element (criminal law) , boundary knot method , boundary (topology) , boundary value problem , mathematical analysis , calculus (dental) , structural engineering , engineering , medicine , dentistry , political science , law
An elementary analysis on the cell boundary element (CBEM) was given by Jeon and Sheen. In this article we improve the previous results in various aspects. First of all, stability and convergence analysis on the rectangular grids are established. Moreover, error estimates are improved. Our improved analysis was possible by recasting of the CBEM in a Petrov‐Galerkin setting. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005