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Volumn 6, Issue 8, 1996, Pages 1169-1185

Parallel domain decomposition methods with the overlapping of subdomains for parabolic problems

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EID: 0030371202     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000493     Document Type: Article
Times cited : (2)

References (23)
  • 1
    • 3242828678 scopus 로고
    • Domain decomposition methods in problems of mathematical physics
    • ed. G. I. Marchuk Nauka, (in Russian)
    • V. I. Agoshkov, Domain decomposition methods in problems of mathematical physics, in Computational Processes and Systems, ed. G. I. Marchuk (Nauka, 1991), issue 8, pp. 4-51 (in Russian).
    • (1991) Computational Processes and Systems , Issue.8 , pp. 4-51
    • Agoshkov, V.I.1
  • 2
    • 3242844386 scopus 로고
    • Methods of decomposition, decentralization, coordination and their applications
    • Nauka, (in Russian)
    • A. Bensusan, J.-L. Lions and R. Temam, Methods of decomposition, decentralization, coordination and their applications, in Methods of Computational Mathematics (Nauka, 1975), pp. 144-273 (in Russian).
    • (1975) Methods of Computational Mathematics , pp. 144-273
    • Bensusan, A.1    Lions, J.-L.2    Temam, R.3
  • 3
    • 84966201010 scopus 로고
    • A finite difference domain decomposition algorithm for the numerical solution of the heat equation
    • C. N. Dawson, Q. Du and T. F. Dupont, A finite difference domain decomposition algorithm for the numerical solution of the heat equation, Math. Comp. 57 (1991) 63-67.
    • (1991) Math. Comp. , vol.57 , pp. 63-67
    • Dawson, C.N.1    Du, Q.2    Dupont, T.F.3
  • 4
    • 84968509391 scopus 로고
    • Explicit/implicit, conservative, Galerkin domain decomposition procedures for parabolic problems
    • C. N. Dawson and T. F. Dupont, Explicit/implicit, conservative, Galerkin domain decomposition procedures for parabolic problems, Math. Comp. 58 (1992) 21-34.
    • (1992) Math. Comp. , vol.58 , pp. 21-34
    • Dawson, C.N.1    Dupont, T.F.2
  • 7
    • 0010662379 scopus 로고
    • On modelling of the third boundary value problem for multi-dimensional parabolic equations in an arbitrary domain by one-dimensional equations
    • in Russian
    • D. G. Gordeziani and G. B. Meladze, On modelling of the third boundary value problem for multi-dimensional parabolic equations in an arbitrary domain by one-dimensional equations, Zh. Vychisl. Mat. Mat. Fiz. 14 (1974) 246-250 (in Russian).
    • (1974) Zh. Vychisl. Mat. Mat. Fiz. , vol.14 , pp. 246-250
    • Gordeziani, D.G.1    Meladze, G.B.2
  • 8
    • 84961493313 scopus 로고
    • New algorithms for approximate realization of implicit difference schemes
    • Yu. A. Kuznetsov, New algorithms for approximate realization of implicit difference schemes, Sov. J. Numer. Anal. Math. Models (1988) 99-114.
    • (1988) Sov. J. Numer. Anal. Math. Models , pp. 99-114
    • Kuznetsov, Yu.A.1
  • 9
    • 2242486710 scopus 로고
    • Domain decomposition methods for the solution of two-dimensional parabolic equations
    • Comp. Cent. Sib. Branch, USSR Acad. Sci. Novosibirsk, (in Russian)
    • Yu. M. Laevsky, Domain decomposition methods for the solution of two-dimensional parabolic equations, in Variational-Difference Methods in Problems of Numerical Analysis, Comp. Cent. Sib. Branch, USSR Acad. Sci. (Novosibirsk, 1987), pp. 112-128 (in Russian).
    • (1987) Variational-Difference Methods in Problems of Numerical Analysis , pp. 112-128
    • Laevsky, Yu.M.1
  • 11
    • 0040764002 scopus 로고
    • On one algorithm of domain decomposition without the overlapping of subdomains for the solution of parabolic equations
    • in Russian
    • Yu. M. Laevsky, On one algorithm of domain decomposition without the overlapping of subdomains for the solution of parabolic equations, Zh. Vychisl. Mat. Mat. Fiz. 32 (1992) 1744-1755 (in Russian).
    • (1992) Zh. Vychisl. Mat. Mat. Fiz. , vol.32 , pp. 1744-1755
    • Laevsky, Yu.M.1
  • 12
    • 0028369940 scopus 로고
    • Domain decomposition methods in computational mechanics
    • P. Le Tallec, Domain decomposition methods in computational mechanics, Comput. Mech. Adv. 1 (1994) 121-220.
    • (1994) Comput. Mech. Adv. , vol.1 , pp. 121-220
    • Le Tallec, P.1
  • 13
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • eds. P. G. Ciarlet and J. L. Lions North-Holland
    • G. I. Marchuk, Splitting and alternating direction methods, in Handbook of Numerical Analysis, eds. P. G. Ciarlet and J. L. Lions (North-Holland, 1990), Vol. 1, pp. 197-464.
    • (1990) Handbook of Numerical Analysis , vol.1 , pp. 197-464
    • Marchuk, G.I.1
  • 15
    • 0002293638 scopus 로고
    • Domain decomposition and parallel processing for the numerical solution of partial differential equations
    • A. Quarteroni, Domain decomposition and parallel processing for the numerical solution of partial differential equations, Surveys Math. Industry 1 (1991) 75-118.
    • (1991) Surveys Math. Industry , vol.1 , pp. 75-118
    • Quarteroni, A.1
  • 19
    • 85033810613 scopus 로고
    • Regional-additive finite difference schemes for nonstationary problem of mathematical physics
    • in Russian
    • P. N. Vabishchevich, Regional-additive finite difference schemes for nonstationary problem of mathematical physics, Vestnik MGU, ser. 15, Comput. Math. Cyber. 3 (1989) 61-63 (in Russian).
    • (1989) Vestnik MGU, Ser. 15, Comput. Math. Cyber. , vol.3 , pp. 61-63
    • Vabishchevich, P.N.1
  • 20
    • 0040169958 scopus 로고
    • Finite difference schemes with decomposition of the computational domain for the solution of nonstationary problems
    • in Russian
    • P. N. Vabishchevich, Finite difference schemes with decomposition of the computational domain for the solution of nonstationary problems, Zh. Vychisl. Mat. Mat. Fiz. 29 (1989) 1822-1829 (in Russian).
    • (1989) Zh. Vychisl. Mat. Mat. Fiz. , vol.29 , pp. 1822-1829
    • Vabishchevich, P.N.1
  • 21
    • 3242830367 scopus 로고
    • Parallel domain decomposition algorithms for time-dependent problems of mathematical physics
    • World Scientific
    • P. N. Vabishchevich, Parallel domain decomposition algorithms for time-dependent problems of mathematical physics, in Advances in Numerical Methods and Applications (World Scientific, 1994), pp. 293-299.
    • (1994) Advances in Numerical Methods and Applications , pp. 293-299
    • Vabishchevich, P.N.1
  • 22
    • 85033819460 scopus 로고
    • Difference schemes of component-wise splitting - Decomposition of a domain
    • in Russian
    • P. N. Vabishchevich and V. A. Verakhovsky, Difference schemes of component-wise splitting - decomposition of a domain, Vestnik MGU, ser. 15, Comput. Math. Cyber. 4 (1994) 17-77 (in Russian).
    • (1994) Vestnik MGU, Ser. 15, Comput. Math. Cyber. , vol.4 , pp. 17-77
    • Vabishchevich, P.N.1    Verakhovsky, V.A.2
  • 23
    • 3242822752 scopus 로고
    • Regional-additive finite difference schemes of stabilizing correction for parabolic problems
    • in Russian
    • P. N. Vabishchevich, Regional-additive finite difference schemes of stabilizing correction for parabolic problems, Zh. Vychisl. Mat. Mat. Fiz. 34 (1994) 1832-1842 (in Russian).
    • (1994) Zh. Vychisl. Mat. Mat. Fiz. , vol.34 , pp. 1832-1842
    • Vabishchevich, P.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.