메뉴 건너뛰기




Volumn 20, Issue 5, 1999, Pages 1671-1695

Basis functions for triangular and quadrilateral high-order elements

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRATION; NAVIER STOKES EQUATIONS; POLYNOMIALS; TENSORS;

EID: 0033293691     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827597315716     Document Type: Article
Times cited : (56)

References (22)
  • 1
    • 0001759083 scopus 로고
    • The p-version of the finite element method
    • I. BABUSKA, B. A. SZABO, AND I. N. KATZ, The p-version of the finite element method, SIAM J. Numer. Anal., 18 (1981), pp. 515-595.
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 515-595
    • Babuska, I.1    Szabo, B.A.2    Katz, I.N.3
  • 2
    • 0000240803 scopus 로고
    • Error estimates for the combined h and p-version of the finite element method
    • I. BABUSKA AND M. R. DORR, Error estimates for the combined h and p-version of the finite element method, Numer. Math., 37 (1981), pp. 257.
    • (1981) Numer. Math. , vol.37 , pp. 257
    • Babuska, I.1    Dorr, M.R.2
  • 3
    • 48549109395 scopus 로고
    • A spectral method for fluid dynamics: Laminar flow in a channel expansion
    • A. T. PATERA, A spectral method for fluid dynamics: Laminar flow in a channel expansion, J. Comput. Phys., 54 (1984), pp. 468.
    • (1984) J. Comput. Phys. , vol.54 , pp. 468
    • Patera, A.T.1
  • 4
    • 0011449281 scopus 로고
    • A spectral element method for solution of two- and three-dimensional time dependent Navier-Stokes equations
    • Springer-Verlag, Berlin
    • G. E. KARNIADAKIS, E. T. BULLISTER, AND A. T. PATERA, A spectral element method for solution of two-and three-dimensional time dependent Navier-Stokes equations, in Finite Element Methods for Nonlinear Problems, Springer-Verlag, Berlin, 1985, p. 803.
    • (1985) Finite Element Methods for Nonlinear Problems , pp. 803
    • Karniadakis, G.E.1    Bullister, E.T.2    Patera, A.T.3
  • 6
    • 0025684066 scopus 로고
    • A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity
    • L. DEMKOWICZ, J. T. ODEN, AND W. RACHOWICZ, A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity, Comput. Methods Appl. Mech. Engrg., 84 (1990), p. 275.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.84 , pp. 275
    • Demkowicz, L.1    Oden, J.T.2    Rachowicz, W.3
  • 7
    • 0002618235 scopus 로고
    • An h-p adaptive finite element method for incompressible viscous flows
    • Academic Press, London, UK
    • J. T. ODEN, T. LISZKA, AND W. Wu, An h-p adaptive finite element method for incompressible viscous flows, in The Mathematics of Finite Elements and Applications, VII, 13, Academic Press, London, UK, 1991, pp. 13-54.
    • (1991) The Mathematics of Finite Elements and Applications , vol.7 , Issue.13 , pp. 13-54
    • Oden, J.T.1    Liszka, T.2    Wu, W.3
  • 9
    • 0028407037 scopus 로고
    • Parallel, adaptive finite element methods for conservation laws
    • R. BISWAS, K. DEVINE, AND J. FLAHERTY, Parallel, adaptive finite element methods for conservation laws, Appl. Numer. Math., 14 (1994), pp. 255-283.
    • (1994) Appl. Numer. Math. , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.2    Flaherty, J.3
  • 10
    • 0001030190 scopus 로고
    • Unstructured spectral element methods for simulation of turbulence flows
    • R. D. HENDERSON AND G. E. KARNIADAKIS, Unstructured spectral element methods for simulation of turbulence flows, J. Comput. Phys., 122 (1995), p. 191.
    • (1995) J. Comput. Phys. , vol.122 , pp. 191
    • Henderson, R.D.1    Karniadakis, G.E.2
  • 13
    • 0005571399 scopus 로고
    • Hierarchies of conforming finite elements for plane elasticity and plate bending
    • A. PEANO, Hierarchies of conforming finite elements for plane elasticity and plate bending, Comput. Math. Appl., 2 (1976), p. 221.
    • (1976) Comput. Math. Appl. , vol.2 , pp. 221
    • Peano, A.1
  • 14
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • M. DUBINER, Spectral methods on triangles and other domains, J. Sci. Comput., 6 (1991), p. 345.
    • (1991) J. Sci. Comput. , vol.6 , pp. 345
    • Dubiner, M.1
  • 15
    • 0029412889 scopus 로고
    • A triangular spectral method: Applications to the incompressible Navier-Stokes equation
    • S. J. SHERWIN AND G. E. KARNIADAKIS, A triangular spectral method: Applications to the incompressible Navier-Stokes equation, Comput. Methods Appl. Mech. Engrg., 123 (1995), p. 189.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.123 , pp. 189
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 16
    • 0029410227 scopus 로고
    • A new triangular and tetrahedral basis for high-order finite element methods
    • S. J. SHERWIN AND G. E. KARNIADAKIS, A new triangular and tetrahedral basis for high-order finite element methods, Internat. J. Numer. Methods Engrg., 38 (1995), p. 3775.
    • (1995) Internat. J. Numer. Methods Engrg. , vol.38 , pp. 3775
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 17
    • 0342674462 scopus 로고
    • Triangular spectral element methods for geophysical fluid dynamics applications
    • Houston, TX
    • B. A. WINGATE AND J. P. BOYD, Triangular spectral element methods for geophysical fluid dynamics applications, in ICOSAHOM'95, Houston, TX, 1995.
    • (1995) ICOSAHOM'95
    • Wingate, B.A.1    Boyd, J.P.2
  • 18
    • 0031235643 scopus 로고    scopus 로고
    • Hierarchical hp finite elements in hybrid domains
    • Elsevier, New York
    • S. J. SHERWIN, Hierarchical hp finite elements in hybrid domains, in Finite Elements in Analysis and Design, Vol. 27, Elsevier, New York, 1997, pp. 109-119.
    • (1997) Finite Elements in Analysis and Design , vol.27 , pp. 109-119
    • Sherwin, S.J.1
  • 21
    • 0029511833 scopus 로고
    • Approximate optimal points for the polynomial interpolation of real functions in an interval and in a triangle
    • Q. CHEN AND I. BABUSKA, Approximate optimal points for the polynomial interpolation of real functions in an interval and in a triangle, Comput. Methods Appl. Mech. Engrg., 128 (1995), p. 405.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.128 , pp. 405
    • Chen, Q.1    Babuska, I.2
  • 22
    • 0000185847 scopus 로고    scopus 로고
    • From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
    • J. S. HESTHAVEN, From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex, SIAM J. Numer. Anal., 35 (1998), pp. 655-676.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 655-676
    • Hesthaven, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.