A Neumann–Neumann algorithm for a mortar finite element discretization of fourth‐order elliptic problems in 2D | Zendy

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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

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