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Volumn 52, Issue 1, 2009, Pages 1-23

Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics

Author keywords

Eigenvalues and eigenfunctions; Elliptic boundary value problems; Finite element Galerkin method; Generalized eigenvalue problem; Matrix decomposition algorithm; Piecewise Hermite cubics

Indexed keywords


EID: 70350621911     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9255-y     Document Type: Article
Times cited : (3)

References (14)
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    • Abushama, A.A.1    Bialecki, B.2
  • 2
    • 0039147428 scopus 로고
    • Efficient algorithms for solving tensor product finite element equations
    • Bank, R.E.: Efficient algorithms for solving tensor product finite element equations. Numer. Math. 31, 49-61 (1978).
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    • Bank, R.E.1
  • 3
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    • Matrix decomposition methods for separable elliptic boundary value problems in two dimensions
    • Bialecki, B., Fairweather, G.: Matrix decomposition methods for separable elliptic boundary value problems in two dimensions. J. Comput. Appl. Math. 46, 369-386 (1993).
    • (1993) J. Comput. Appl. Math , vol.46 , pp. 369-386
    • Bialecki, B.1    Fairweather, G.2
  • 4
    • 0142009981 scopus 로고    scopus 로고
    • Matrix decomposition algorithms for modified spline collocation for Helmholtz problems
    • Bialecki, B., Fairweather, G., Karageorghis, A.: Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. SIAM J. Sci. Comput. 24, 1733-1753 (2003).
    • (2003) SIAM J. Sci. Comput , vol.24 , pp. 1733-1753
    • Bialecki, B.1    Fairweather, G.2    Karageorghis, A.3
  • 5
    • 0026817974 scopus 로고
    • Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations
    • Bialecki, B., Fairweather, G., Bennett, K.R.: Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations. SIAM J. Numer. Anal. 29, 156-173 (1992).
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 156-173
    • Bialecki, B.1    Fairweather, G.2    Bennett, K.R.3
  • 6
    • 0028126292 scopus 로고
    • Fourier methods for piecewise Hermite bicubic orthogonal spline collocation
    • Bialecki, B., Fairweather, G., Remington, K.A.: Fourier methods for piecewise Hermite bicubic orthogonal spline collocation. East-West J. Numer. Math. 2, 1-20 (1994).
    • (1994) East-West J. Numer. Math , vol.2 , pp. 1-20
    • Bialecki, B.1    Fairweather, G.2    Remington, K.A.3
  • 7
    • 0043236549 scopus 로고    scopus 로고
    • Fast Fourier transform solvers and preconditioners for quadratic spline collocation
    • Christara, C.C., Ng, K.S.: Fast Fourier transform solvers and preconditioners for quadratic spline collocation. BIT 42, 702-739 (2002).
    • (2002) BIT , vol.42 , pp. 702-739
    • Christara, C.C.1    Ng, K.S.2
  • 10
    • 0003024262 scopus 로고    scopus 로고
    • A piecewise hermite bicubic finite element Galerkin method for the biharmonic Dirichlet problem
    • Ph.D. thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado
    • Knudson, D.B.: A piecewise hermite bicubic finite element Galerkin method for the biharmonic Dirichlet problem. Ph.D. thesis, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado (1997).
    • (1997)
    • Knudson, D.B.1
  • 11
    • 33644960249 scopus 로고
    • Fourier method of solution of FE systems with Hermite elements for Poisson equation
    • Lyashko, A.D., Solov'yev, S.I.: Fourier method of solution of FE systems with Hermite elements for Poisson equation. Sov. J. Numer. Anal. Math. Model. 6, 121-129 (1991).
    • (1991) Sov. J. Numer. Anal. Math. Model , vol.6 , pp. 121-129
    • Lyashko, A.D.1    Solov'yev, S.I.2
  • 14
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    • P.N.: FFTPACK. NCAR, Boulder. netlib@ornl.gov
    • Swarztrauber, P.N.: FFTPACK. NCAR, Boulder. netlib@ornl.gov (1985).
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    • Swarztrauber, P.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.