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Domain decomposition method for solving elliptic problems in unbounded domains

Technical Report:

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Abstract

Computational aspects of the box domain decomposition (DD) method for solving boundary value problems in an unbounded domain are discussed. A new variant of the DD-method for elliptic problems in unbounded domains is suggested. It is based on the partitioning of an unbounded domain adapted to the given asymptotic decay of an unknown function at infinity. The comparison of computational expenditures is given for boundary integral method and the suggested DD-algorithm. 29 refs.; 2 figs.; 2 tabs.
Authors:
Khoromskij, B N; Mazurkevich, G E; Zhidkov, E P [1] 
  1. Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
JINR-E-11-91-487
Reference Number:
SCA: 990200; PA: AIX-24:007996; SN: 93000932752
Resource Relation:
Other Information: PBD: 1991
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; BOUNDARY-VALUE PROBLEMS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; ALGORITHMS; DECOMPOSITION; INTEGRAL EQUATIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; 990200; MATHEMATICS AND COMPUTERS
OSTI ID:
10119319
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation)
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE93612903; TRN: RU9207242007996
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[19] p.
Announcement Date:
Jun 30, 2005

Technical Report:

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Citation Formats

Khoromskij, B N, Mazurkevich, G E, and Zhidkov, E P. Domain decomposition method for solving elliptic problems in unbounded domains. JINR: N. p., 1991. Web.
Khoromskij, B N, Mazurkevich, G E, & Zhidkov, E P. Domain decomposition method for solving elliptic problems in unbounded domains. JINR.
Khoromskij, B N, Mazurkevich, G E, and Zhidkov, E P. 1991. "Domain decomposition method for solving elliptic problems in unbounded domains." JINR.
@misc{etde_10119319,
title = {Domain decomposition method for solving elliptic problems in unbounded domains}
 author = {Khoromskij, B N, Mazurkevich, G E, and Zhidkov, E P}
 abstractNote = {Computational aspects of the box domain decomposition (DD) method for solving boundary value problems in an unbounded domain are discussed. A new variant of the DD-method for elliptic problems in unbounded domains is suggested. It is based on the partitioning of an unbounded domain adapted to the given asymptotic decay of an unknown function at infinity. The comparison of computational expenditures is given for boundary integral method and the suggested DD-algorithm. 29 refs.; 2 figs.; 2 tabs.}
 place = {JINR}
 year = {1991}
 month = {Dec}
 }