Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Numerical Mathematics

Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri

Managing Editor: Olshanskii, Maxim

Editorial Board Member: Benzi, Michele / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Bonito, Andrea / Quarteroni, Alfio / Guzman, Johnny / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Zou, Jun / Simoncini, Valeria / Reusken, Arnold

4 Issues per year


IMPACT FACTOR 2016: 0.405
5-year IMPACT FACTOR: 2.212

CiteScore 2016: 0.47

SCImago Journal Rank (SJR) 2016: 0.378
Source Normalized Impact per Paper (SNIP) 2016: 0.502

Mathematical Citation Quotient (MCQ) 2016: 1.02

Online
ISSN
1569-3953
See all formats and pricing
More options …
Volume 11, Issue 2 (Jun 2003)

Issues

Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains

C. Bacuta / J. H. Bramble / J. Xu

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.

Key Words: interpolation spaces,; finite element method,; multilevel decomposition,; shift theorems,; subspace interpolation

About the article

Published in Print: 2003-06-01


Citation Information: Journal of Numerical Mathematics jnma, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: https://doi.org/10.1515/156939503766614117.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Constantin Bacuta, Jacob Jacavage, Klajdi Qirko, and Francisco-Javier Sayas
Computers & Mathematics with Applications, 2017
[3]
Jürgen Sprekels and Enrico Valdinoci
SIAM Journal on Control and Optimization, 2017, Volume 55, Number 1, Page 70
[4]
Constantin Bacuta and Klajdi Qirko
Computers & Mathematics with Applications, 2017, Volume 73, Number 2, Page 173
[5]
Constantin Bacuta and Klajdi Qirko
Computers & Mathematics with Applications, 2015, Volume 70, Number 12, Page 2920
[6]
Constantin Bacuta
Applicable Analysis, 2016, Volume 95, Number 1, Page 226
[7]
Shaohong Du and Zhimin Zhang
Journal of Scientific Computing, 2015, Volume 65, Number 1, Page 138
[8]
Anna L. Mazzucato, Victor Nistor, and Qingqin Qu
Journal of Computational and Applied Mathematics, 2014, Volume 263, Page 466
[9]
Constantin Bacuta and Lu Shu
Journal of Scientific Computing, 2013, Volume 57, Number 1, Page 105
[10]
Nico Schlömer, Daniele Avitabile, and Wim Vanroose
SIAM Journal on Applied Dynamical Systems, 2012, Volume 11, Number 1, Page 447
[11]
Constantin Bacuta, Victor Nistor, and Ludmil T. Zikatanov
Numerical Functional Analysis and Optimization, 2007, Volume 28, Number 7-8, Page 775
[12]
T. A. Manteuffel, S. F. McCormick, J. G. Schmidt, and C. R. Westphal
SIAM Journal on Numerical Analysis, 2006, Volume 44, Number 5, Page 2057
[13]
Roy H. Stogner and Graham F. Carey
International Journal for Numerical Methods in Engineering, 2007, Volume 70, Number 9, Page 1076

Comments (0)

Please log in or register to comment.
Log in