Premium
Improved Schwarz methods for an elliptic problem in a nonconvex domain with discontinuous coefficients
Author(s) -
Chniti Chokri
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20354
Subject(s) - mathematics , domain decomposition methods , elliptic operator , variable (mathematics) , differential operator , domain (mathematical analysis) , operator (biology) , gravitational singularity , partial derivative , schwarz alternating method , matching (statistics) , constant coefficients , order (exchange) , semi elliptic operator , mathematical analysis , variable coefficient , finite element method , physics , biochemistry , chemistry , statistics , finance , repressor , gene , transcription factor , economics , thermodynamics
A matching of singularities in domain decomposition methods with angular domains has been introduced in (Chniti et al., CRAS 342 (2006), 883‐886; Chniti et al., to appear) with the model operator ‐ Δ. This article verifies that the same approach is appropriate for other second order elliptic operators ‐ d i v ( a ∇) with a variable coefficient a = a (θ) which is discontinuous with respect to the angular variable θ. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009