Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation | Zendy

Temur Jangveladze | Zendy; Zurab Kiguradze | Zendy; George Lobjanidze | Zendy

Open Access

Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation

Author(s) -

Temur Jangveladze,

Zurab Kiguradze,

George Lobjanidze

Publication year - 2014

Publication title -

international journal of partial differential equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7082

pISSN - 2314-6524

DOI - 10.1155/2014/680760

Subject(s) - domain decomposition methods , schwarz alternating method , mathematics , boundary value problem , poisson's equation , domain (mathematical analysis) , decomposition , poisson distribution , statement (logic) , boundary (topology) , algorithm , boundary values , iterative method , additive schwarz method , mathematical analysis , decomposition method (queueing theory) , discrete mathematics , finite element method , physics , statistics , ecology , biology , political science , law , thermodynamics

The Bitsadze-Samarskii nonlocal boundary value problem is considered. Variational formulation is done. The domain decomposition and Schwarz-type iterative methods are used. The parallel algorithm as well as sequential ones is investigated

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