TY - JOUR
T1 - Maximum norm error analysis of a nonmatching grids finite element method for linear elliptic PDEs
AU - Boulbrachene, Messaoud
AU - Al Farei, Qais
PY - 2014/7/1
Y1 - 2014/7/1
N2 - In this paper, we study a nonmatching grid finite element approximation of linear elliptic PDEs in the context of the Schwarz alternating domain decomposition.We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of the geometrical convergence of both the continuous and corresponding discrete Schwarz sequences. We also give some numerical results to support the theory.
AB - In this paper, we study a nonmatching grid finite element approximation of linear elliptic PDEs in the context of the Schwarz alternating domain decomposition.We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of the geometrical convergence of both the continuous and corresponding discrete Schwarz sequences. We also give some numerical results to support the theory.
KW - Elliptic PDEs
KW - Finite element
KW - L
KW - Nonmatching grids
KW - Schwarz alternating method
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U2 - 10.1016/j.amc.2014.03.146
DO - 10.1016/j.amc.2014.03.146
M3 - Article
AN - SCOPUS:84899523411
SN - 0096-3003
VL - 238
SP - 21
EP - 29
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -