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Volumn 28, Issue 1, 2006, Pages 224-240

Topological optimization of the evaluation of finite element matrices

Author keywords

Finite element; Minimum spanning tree; Optimized algorithm; Variational form

Indexed keywords

FINITE ELEMENT METHOD; STIFFNESS MATRIX; TREES (MATHEMATICS);

EID: 34548775456     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050635547     Document Type: Article
Times cited : (21)

References (22)
  • 7
    • 4444327503 scopus 로고    scopus 로고
    • Tech. report 2002-2006, Chalmers Finite Element Center Preprint Series, Chalmers Finite Element Center, Göteborg, Sweden
    • J. HOFFMAN AND A. LOGG, DOLFIN: Dynamic Object Oriented Library for FINite Element Computation, Tech. report 2002-2006, Chalmers Finite Element Center Preprint Series, Chalmers Finite Element Center, Göteborg, Sweden, 2002.
    • (2002) DOLFIN: Dynamic Object Oriented Library for FINite Element Computation
    • Hoffman, J.1    Logg, A.2
  • 8
    • 0003722752 scopus 로고    scopus 로고
    • Numerical Mathematics and Scientific Computation, Oxford University Press, New York
    • G. E. KARNIADAKIS AND S. J. SHERWIN, Spectral/hp Element Methods for CFD, Numerical Mathematics and Scientific Computation, Oxford University Press, New York, 1999.
    • (1999) Spectral/hp Element Methods for CFD
    • Karniadakis, G.E.1    Sherwin, S.J.2
  • 9
    • 12744252825 scopus 로고    scopus 로고
    • FIAT: A new paradigm for computing finite element basis functions
    • R. C. KIRBY, FIAT: A new paradigm for computing finite element basis functions, ACM Trans. Math. Software, 30 (2004), pp. 502-516.
    • (2004) ACM Trans. Math. Software , vol.30 , pp. 502-516
    • Kirby, R.C.1
  • 10
    • 33749367800 scopus 로고    scopus 로고
    • Optimizing FIAT with the level 3 BLAS
    • to appear.
    • R. C. KIRBY, Optimizing FIAT with the level 3 BLAS, ACM Trans. Math. Software, to appear.
    • ACM Trans. Math. Software
    • Kirby, R.C.1
  • 11
    • 33646556105 scopus 로고    scopus 로고
    • Optimizing the evaluation of finite element matrices
    • R. C. KIRBY, M. KNEPLEY, A. LOGG, AND L. R. SCOTT, Optimizing the evaluation of finite element matrices, SIAM J. Sci. Comput., 27 (2005), pp. 741-758.
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 741-758
    • Kirby, R.C.1    Knepley, M.2    Logg, A.3    Scott, L.R.4
  • 16
    • 77950667168 scopus 로고    scopus 로고
    • K. LONG, Sundance, http://csmr.ca.sandia.gov/~krlong/sundance.html.
    • Sundance
    • Long, K.1
  • 21
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Mathematical Aspects of Finite Element Methods Proc. Conf., Consiglio Naz. delle Ricerche (C.N.R.), Rome, Springer, Berlin, 1977
    • P.-A. RAVIART AND J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of Finite Element Methods (Proc. Conf., Consiglio Naz. delle Ricerche (C.N.R.), Rome, 1975), Lecture Notes in Math. 606, Springer, Berlin, 1977, pp. 292-315.
    • (1975) Lecture Notes in Math. , vol.606 , pp. 292-315
    • Raviart, P.-A.1    Thomas, J.M.2
  • 22
    • 84966238632 scopus 로고
    • Primal hybrid finite element methods for 2nd order elliptic equations
    • P.-A. RAVIART AND J. M. THOMAS, Primal hybrid finite element methods for 2nd order elliptic equations, Math. Comp., 31 (1977), pp. 391-413.
    • (1977) Math. Comp. , vol.31 , pp. 391-413
    • Raviart, P.-A.1    Thomas, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.