Variational Statement and Domain Decomposition Algorithms for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Poisson’s Two-Dimensional Equation-Reference-Cited by-同舟云学术

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

Published:2014-06-19 Issue: Volume:2014 Page:1-8
ISSN:2356-7082
Container-title:International Journal of Partial Differential Equations
language:en
Short-container-title:International Journal of Partial Differential Equations

Author:

Jangveladze Temur¹²^ORCID,Kiguradze Zurab¹^ORCID,Lobjanidze George³

Affiliation:

1. Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili, Tbilisi State University, 2 University Street, 0186 Tbilisi, Georgia

2. Georgian Technical University, 77 Kostava Avenue, 0175 Tbilisi, Georgia

3. Caucasus University, 10 Politkovskaya Street, 0186 Tbilisi, Georgia

Abstract

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.

Funder

Fulbright Visiting Scholar Program

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/680760.pdf

Reference28 articles.

1. On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations

2. The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition

3. FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions

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