Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis


Authors: R. E. Ewing, R. D. Lazarov and P. S. Vassilevski
Journal: Math. Comp. 56 (1991), 437-461
MSC: Primary 65N06; Secondary 65N15, 65N50
MathSciNet review: 1066831
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A finite difference technique on rectangular cell-centered grids with local refinement is proposed in order to derive discretizations of second-order elliptic equations of divergence type approximating the so-called balance equation. Error estimates in a discrete $ {H^1}$-norm are derived of order $ {h^{1/2}}$ for a simple symmetric scheme, and of order $ {h^{3/2}}$ for both a nonsymmetric and a more accurate symmetric one, provided that the solution belongs to $ {H^{1 + \alpha }}$ for $ \alpha > \frac{1}{2}$ and $ \alpha > \frac{3}{2}$, respectively.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65N06, 65N15, 65N50

Retrieve articles in all journals with MSC: 65N06, 65N15, 65N50


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1991-1066831-5
PII: S 0025-5718(1991)1066831-5
Keywords: Cell-centered grid, local refinement, error estimates, elliptic problems of divergence type
Article copyright: © Copyright 1991 American Mathematical Society