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Volumn 76, Issue 3, 1996, Pages 175-180

A parallel Newton multigrid method for high order finite elements and its application to numerical existence proofs for elliptic boundary value equations

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EID: 0009820565     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19960760316     Document Type: Article
Times cited : (7)

References (18)
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    • Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems
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  • 5
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    • Application of the multigrid method to a nonlinear indefinite problem
    • HACKBUSCH, W.; TROTTENBERG, U. (eds.): LN 960, Springer, Berlin etc.
    • MEIS, TH.; LEHMANN, H.; MICHAEL, H.: Application of the multigrid method to a nonlinear indefinite problem. In HACKBUSCH, W.; TROTTENBERG, U. (eds.): Multigrid methods. LN 960, Springer, Berlin etc. 1982, pp. 545-575.
    • (1982) Multigrid Methods , pp. 545-575
    • Meis, Th.1    Lehmann, H.2    Michael, H.3
  • 7
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    • Bounds for eigenvalues of second-order elliptic differential operators
    • PLUM, M.: Bounds for eigenvalues of second-order elliptic differential operators. J. Appl. Math. Phys. (ZAMP) 42 (1991), 848-863.
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    • Plum, M.1
  • 8
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    • Existence proofs in combination with error bounds for approximate solutions of weakly nonlinear second-order elliptic boundary value problems
    • PLUM, M.: Existence proofs in combination with error bounds for approximate solutions of weakly nonlinear second-order elliptic boundary value problems. Z. Angew. Math. Mech. 71 (1991), T660-T662.
    • (1991) Z. Angew. Math. Mech. , vol.71
    • Plum, M.1
  • 9
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    • 2-eslimates and pointwise bounds for solutions of second-order elliptic boundary value problems. J. Math. Anal. Appl. 165 (1992), 36-61.
    • (1992) J. Math. Anal. Appl. , vol.165 , pp. 36-61
    • Plum, M.1
  • 10
    • 0001810506 scopus 로고
    • Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems
    • PLUM, M.: Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems. Computing 49 (1992), 25-44.
    • (1992) Computing , vol.49 , pp. 25-44
    • Plum, M.1
  • 11
    • 0003913549 scopus 로고
    • Enclosures for weak solutions of nonlinear elliptic boundary value problems
    • AGARWAL, RAVI P. (ed.)
    • PLUM, M.: Enclosures for weak solutions of nonlinear elliptic boundary value problems. In AGARWAL, RAVI P. (ed.): Inequalities and applications. World Scientific Series in Applicable Analysis 3 (1994), 505-521.
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  • 12
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    • Existence and enclosure results for continua of solutions of parameter-dependent nonlinear boundary value problems
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    • J. Comp. Appl. Math. , vol.60
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  • 13
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    • Inclusion methods for elliptic boundary value problems
    • HERZBERGER, J. (ed.): Series Studies in Computatinal Mathematics, North-Holland
    • PLUM, M.: Inclusion methods for elliptic boundary value problems. In HERZBERGER, J. (ed.): Topics in validated computations. Series Studies in Computatinal Mathematics, North-Holland 1994.
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  • 14
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    • Enclosures for solutions of parameter-dependent nonlinear elliptic boundary value problems: Theory and implementation on a parallel computer
    • PLUM, M.: Enclosures for solutions of parameter-dependent nonlinear elliptic boundary value problems: theory and implementation on a parallel computer. Interval Computat. 3 (1994), 106-121.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.