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A Neumann–Neumann algorithm for a mortar finite element discretization of fourth‐order elliptic problems in 2D
Author(s) -
Marcinkowski Leszek
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.20406
Subject(s) - mathematics , discretization , finite element method , convergence (economics) , von neumann architecture , neumann boundary condition , partial differential equation , order (exchange) , mathematical analysis , boundary value problem , pure mathematics , finance , economics , physics , thermodynamics , economic growth
Here we present and analyze a Neumann–Neumann algorithm for the mortar finite element discretization of elliptic fourth‐order problems with discontinuous coefficients. The fully parallel algorithm is analyzed using the abstract Schwarz framework, proving a convergence which is independent of the parameters of the problem, and depends only logarithmically on the ratio between the subdomain size and the mesh size.© 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009