Journal of Numerical Mathematics
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Managing Editor: Olshanskii, Maxim
Editorial Board Member: Axelsson, Owe / Brenner, Susanne C. / Carstensen, Carsten / Chen, Zhangxin / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Kawarada, Hideo / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun
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Partition of unity method on nonmatching grids for the Stokes problem
∗ Mathematical Sciences, University of Delaware, Newark, DE, 19716
† School of Mathematics and Computer Science, Nanjing Normal University Nanjing, 210097, Peoples Republic of China
‡ Institute for Computational and Applied Mathematics and Department of Mathematics, Xiangtan University, Peoples Republic of China, 411105
§ Department of Mathematics, The Pennsylvania State University, University Park, PA 16802
Citation Information: Journal of Numerical Mathematics jnma. Volume 13, Issue 3, Pages 157–169, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/156939505774286148, September 2005
We consider the Stokes problem on a plane polygonal domain We propose a finite element method for overlapping or nonmatching grids for the Stokes problem based on the partition of unity method. We prove that the discrete inf-sup condition holds with a constant independent of the overlapping size of the subdomains. The results are valid for multiple subdomains and any spatial dimension.