Journal of Numerical Mathematics
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Editorial Board Member: Carstensen, Carsten / Chen, Zhangxin / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Hackbusch, Wolfgang H.C. / Langer, Ulrich / Lazarov, Raytcho / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun / Axelsson, Owe / Bjorstad, Petter E. / Kawarada, Hideo
4 Issues per year
IMPACT FACTOR 2012: 0.379
5-year IMPACT FACTOR: 0.710
Mathematical Citation Quotient 2012: 0.49
Volume 21 (2013)
Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2010)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 10 (2002)
Most Downloaded Articles
- No Title Provided by Korotov, S./ Neittaanmäki, P. and Repin, S.
- A note on the stability of the upwind scheme for ordinary differential equations by Reinhardt, H. J.
- Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error by Rannacher, R./ Westenberger, A. and Wollner, W.
- Elastoviscoplastic Finite Element analysis in 100 lines of Matlab by Carstensen, C. and Klose, R.
- Explicit error bounds for an adaptive finite volume scheme by ACHCHAB, A./ AGOUZAL, A./ BOUIHAT, K. and SOUISSI, A.
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains
∗ Dept. of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
† Dept. of Mathematics,Texas A & M University, College Station, TX 77843, USA
Citation Information: Journal of Numerical Mathematics jnma. Volume 11, Issue 2, Pages 75–94, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/156939503766614117, June 2003
We consider the model Dirichlet problem for Poisson's equation on a plane polygonal convex domain Ω with data ƒ in a space smoother than L 2. The regularity and the critical case of the problem depend on the measure of the maximum angle of the domain. Interpolation theory and multilevel theory are used to obtain estimates for the critical case. As a consequence, sharp error estimates for the corresponding discrete problem are proved. Some classical shift estimates are also proved using the powerful tools of interpolation theory and mutilevel approximation theory. The results can be extended to a large class of elliptic boundary value problems.