Parallel Technology for Solving the Poisson Equation in Axisymmetric Domains by the Boundary Element Method

被引:2
|
作者
Spevak, L. F. [1 ]
Nefedova, O. A. [1 ]
机构
[1] Russian Acad Sci, Ural Branch, Inst Engn Sci, 34 Komsomolskaya Str, Ekaterinburg 620049, Russia
关键词
D O I
10.1063/1.5084431
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The paper deals with numerical solution of a boundary value problem for the Poisson equation in axisymmetric domains. The solution algorithm is based on the boundary element method. In order to make the computer implementation of the algorithm more effective, the computations are parallelized, with the application of the OpenMP standard The numerical results are compared with a known analytical solution. The developed program is applicable to solving axisymmetric boundary value problems of the potential theory, which arise in the simulation of stationary processes of various physical natures.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Parallel Technology for Solving Axisymmetric Problems of the Theory of Elasticity by the Boundary Element Method
    Nefedova, O. A.
    Spevak, L. F.
    [J]. MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): PROCEEDING OF THE 14TH INTERNATIONAL CONFERENCE ON MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES, 2020, 2315
  • [2] The Fourier-finite-element method for Poisson's equation in axisymmetric domains with edges
    Heinrich, B
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (05) : 1885 - 1911
  • [3] The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation
    Farcas, A
    Elliott, L
    Ingham, DB
    Lesnic, D
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2003, 27 (10) : 955 - 962
  • [4] The Poisson equation in axisymmetric domains with conical points
    Nkemzi, B
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) : 399 - 421
  • [5] Hybrid boundary element and finite difference method for solving the Nonlinear poisson-boltzmann equation
    Boschitsch, AH
    Fenley, MO
    [J]. JOURNAL OF COMPUTATIONAL CHEMISTRY, 2004, 25 (07) : 935 - 955
  • [6] Solving slender axisymmetric structures using the boundary element method
    Stikan, Rafael Pacheco
    de Moura, Leonardo Caputo
    Loeffler, Carlos Friedrich
    Lara, Luciano de Oliveira Castro
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2024, 162 : 141 - 156
  • [7] SOLVING POISSON EQUATION ON PARALLEL ARCHITECTURES
    IYER, KA
    MERRICK, MP
    BECK, TL
    [J]. ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1994, 208 : 344 - PHYS
  • [8] ANALYTICAL-NUMERICAL METHOD FOR SOLVING THE POISSON EQUATION IN COMPLEX DOMAINS
    VLASOV, VI
    RACHKOV, AV
    [J]. DOKLADY AKADEMII NAUK, 1995, 344 (03) : 301 - 304
  • [9] A HYBRID FINITE-ELEMENT BOUNDARY ELEMENT FORMULATION OF POISSON EQUATION FOR AXISYMMETRIC VECTOR POTENTIAL PROBLEMS
    SALON, SJ
    PENG, JP
    [J]. JOURNAL OF APPLIED PHYSICS, 1982, 53 (11) : 8420 - 8422
  • [10] SOLVING AXISYMMETRIC POTENTIAL PROBLEMS USING THE INDIRECT BOUNDARY ELEMENT METHOD
    Ponomareva, M. A.
    Sobko, E. A.
    Yakutenok, V. A.
    [J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2015, (37): : 84 - 96