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Volumn 49, Issue 3, 2009, Pages 509-526

Matrix decomposition algorithms for the C0-quadratic finite element Galerkin method

Author keywords

Finite element Galerkin method; Generalized eigenvalue problem; Matrix decomposition algorithms; Piecewise quadratic functions; Poisson's equation

Indexed keywords


EID: 70350780572     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-009-0233-0     Document Type: Article
Times cited : (10)

References (15)
  • 1
    • 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).
    • (1978) Numer. Math. , vol.31 , pp. 49-61
    • Bank, R.E.1
  • 2
    • 33644942671 scopus 로고    scopus 로고
    • A fast algorithm for the electromagnetic scattering from a large cavity
    • Bao, G., Sun, W.: A fast algorithm for the electromagnetic scattering from a large cavity. SIAM J. Sci. Comput. 27, 553-574 (2005).
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 553-574
    • Bao, G.1    Sun, W.2
  • 3
    • 38249002591 scopus 로고
    • 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
    • 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
  • 5
    • 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
  • 6
    • 33644958937 scopus 로고    scopus 로고
    • Optimal superconvergent one step nodal cubic spline collocation methods
    • Bialecki, B., Fairweather, G., Karageorghis, A.: Optimal superconvergent one step nodal cubic spline collocation methods. SIAM J. Sci. Comput. 27, 575-598 (2005).
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 575-598
    • Bialecki, B.1    Fairweather, G.2    Karageorghis, A.3
  • 7
    • 70350621911 scopus 로고    scopus 로고
    • Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics
    • (to appear), doi:10.1007/s11075-008-9255-y
    • Bialecki, B., Fairweather, G., Knudson, D.B., Lipman, D.A., Nguyen, Q.N., Sun, W., Weinberg, G.M.: Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Numer. Algorithms (to appear). doi:10.1007/s11075-008-9255-y.
    • Numer. Algorithms
    • Bialecki, B.1    Fairweather, G.2    Knudson, D.B.3    Lipman, D.A.4    Nguyen, Q.N.5    Sun, W.6    Weinberg, G.M.7
  • 8
    • 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
    • 0030171562 scopus 로고    scopus 로고
    • Essentially compact schemes for unsteady viscous incompressible flows
    • E, W., Liu, J.G.: Essentially compact schemes for unsteady viscous incompressible flows. J. Comput. Phys. 126, 122-138 (1996).
    • (1996) J. Comput. Phys. , vol.126 , pp. 122-138
    • Liu, J.G.1
  • 11
    • 44149091635 scopus 로고    scopus 로고
    • Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs
    • Jiang, H., Shao, S., Cai, W., Zhang, P.: Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs. J. Comput. Phys. 227, 6553-6573 (2008).
    • (2008) J. Comput. Phys. , vol.227 , pp. 6553-6573
    • Jiang, H.1    Shao, S.2    Cai, W.3    Zhang, P.4
  • 12
    • 0021477470 scopus 로고
    • High-order, fast-direct methods for separable elliptic equations
    • Kaufman, L., Warner, D.: High-order, fast-direct methods for separable elliptic equations. SIAM J. Numer. Anal. 21, 672-694 (1984).
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 672-694
    • Kaufman, L.1    Warner, D.2
  • 13
    • 0025600753 scopus 로고
    • Algorithm 685: A program for solving separable elliptic equations
    • Kaufman, L., Warner, D.: Algorithm 685: a program for solving separable elliptic equations. ACM Trans. Math. Softw. 16, 325-351 (1990).
    • (1990) ACM Trans. Math. Softw. , vol.16 , pp. 325-351
    • Kaufman, L.1    Warner, D.2
  • 14
    • 0032270721 scopus 로고    scopus 로고
    • Fast algorithms for high-order spline collocation systems
    • Sun, W.: Fast algorithms for high-order spline collocation systems. Numer. Math. 81, 143-160 (1998).
    • (1998) Numer. Math. , vol.81 , pp. 143-160
    • Sun, W.1
  • 15
    • 38249026426 scopus 로고
    • A fast algorithm for solving the tensor product collocation equations
    • Sun, W., Zamani, N.G.: A fast algorithm for solving the tensor product collocation equations. J. Franklin Inst. 326, 295-307 (1989).
    • (1989) J. Franklin Inst. , vol.326 , pp. 295-307
    • Sun, W.1    Zamani, N.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.