Improved Schwarz methods for an elliptic problem in a nonconvex domain with discontinuous coefficients | Zendy

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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

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