메뉴 건너뛰기




Volumn 17, Issue 1-4, 2002, Pages 297-306

Analysis of a Discontinuous Least Squares Spectral Element Method

Author keywords

Discontinuous approximation; Least squares formulation; Spectral element method

Indexed keywords

FUNCTIONS; GALERKIN METHODS; INTERPOLATION; NAVIER STOKES EQUATIONS; PROBLEM SOLVING; SET THEORY;

EID: 0010794512     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1015173203136     Document Type: Conference Paper
Times cited : (34)

References (15)
  • 1
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • Bochev, P. B., and Gunzburger, M. D. (1998). Finite element methods of least-squares type. SIAM Rev. 40(4), 789-837.
    • (1998) SIAM Rev. , vol.40 , Issue.4 , pp. 789-837
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 4
    • 0028747782 scopus 로고
    • First-order system least squares for second-order partial differential equations: Part I
    • Cai, Z., Manteuffel, T. A., and McCormick, S. F. (1994). First-order system least squares for second-order partial differential equations: Part I. SIAM J. Mumer. Anal. 31(6), 1785-1799.
    • (1994) SIAM J. Mumer. Anal. , vol.31 , Issue.6 , pp. 1785-1799
    • Cai, Z.1    Manteuffel, T.A.2    McCormick, S.F.3
  • 5
    • 0010648166 scopus 로고    scopus 로고
    • Least-squares finite element approximations to solutions of interface problems
    • Cao, Y., and Gunzburger, M. D. (1998). Least-squares finite element approximations to solutions of interface problems. SIAM J. Numer Anal. 35(1), 393-495.
    • (1998) SIAM J. Numer Anal. , vol.35 , Issue.1 , pp. 393-495
    • Cao, Y.1    Gunzburger, M.D.2
  • 6
    • 84985372463 scopus 로고
    • A multidomain spectral approximation of elliptic equations
    • Funaro, D. (1986). A multidomain spectral approximation of elliptic equations. Num. Meth. for PDEs 2, 187-205.
    • (1986) Num. Meth. for PDEs , vol.2 , pp. 187-205
    • Funaro, D.1
  • 7
    • 84968494170 scopus 로고
    • A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations
    • Funaro, D., and Gottlieb, D. (1988). A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Math. of Comp. 51(184), 599-613.
    • (1988) Math. of Comp. , vol.51 , Issue.184 , pp. 599-613
    • Funaro, D.1    Gottlieb, D.2
  • 8
    • 84966255383 scopus 로고
    • Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment
    • Funaro, D., and Gottlieb, D. (1991). Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Math. of Comp. 57(196), 585-596.
    • (1991) Math. of Comp. , vol.57 , Issue.196 , pp. 585-596
    • Funaro, D.1    Gottlieb, D.2
  • 9
    • 0001030190 scopus 로고
    • Unstructured spectral element methods for simulation of turbulent flows
    • Henderson, R. D., and Karniadakis, G. E. M. (1995). Unstructured spectral element methods for simulation of turbulent flows. J. Comp. Phys. 122, 191-217.
    • (1995) J. Comp. Phys. , vol.122 , pp. 191-217
    • Henderson, R.D.1    Karniadakis, G.E.M.2
  • 10
    • 0034190379 scopus 로고    scopus 로고
    • Spectral penalty methods
    • Hesthaven, J. S. (2000). Spectral penalty methods. Appl. Num. Math. 33, 23-41.
    • (2000) Appl. Num. Math. , vol.33 , pp. 23-41
    • Hesthaven, J.S.1
  • 13
    • 0028486630 scopus 로고
    • Mass- and momentum-conserving spectral methods for Stokes flow
    • Owens, R. G., and Phillips, T. N. (1994). Mass- and momentum-conserving spectral methods for Stokes flow. J. Comp. Appl. Math. 53, 185-206.
    • (1994) J. Comp. Appl. Math. , vol.53 , pp. 185-206
    • Owens, R.G.1    Phillips, T.N.2
  • 14
    • 0010916838 scopus 로고    scopus 로고
    • A least-squares spectral element formulation for the Stokes problem
    • Proot, M. M. J., and Gerritsma, M. I. (2002). A least-squares spectral element formulation for the Stokes problem. J. Sci. Comput. 17, 285-296.
    • (2002) J. Sci. Comput. , vol.17 , pp. 285-296
    • Proot, M.M.J.1    Gerritsma, M.I.2
  • 15
    • 1942447554 scopus 로고    scopus 로고
    • Least-squares spectral element method applied to the stokes problem: The best of all worlds?
    • submitted to
    • Proot, M. M. J., and Gerritsma, M. I. Least-squares spectral element method applied to the stokes problem: The best of all worlds?, submitted to SIAM J. Sci. Comp.
    • SIAM J. Sci. Comp.
    • Proot, M.M.J.1    Gerritsma, M.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.