메뉴 건너뛰기




Volumn 215, Issue 2, 2008, Pages 357-367

Least-squares spectral element method for non-linear hyperbolic differential equations

Author keywords

h p Convergence; Hyperbolic equations; Least squares spectral elements

Indexed keywords

BURGERS VECTOR; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TIME SERIES ANALYSIS;

EID: 40849084017     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.03.060     Document Type: Article
Times cited : (22)

References (19)
  • 1
    • 40849110298 scopus 로고    scopus 로고
    • P.B. Bochev, Finite element methods based on least-squares and modified variational principles, Technical Report, POSTECH, 2001.
    • P.B. Bochev, Finite element methods based on least-squares and modified variational principles, Technical Report, POSTECH, 2001.
  • 2
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • Bochev P.B., and Gunzburger M.D. Finite element methods of least-squares type. SIAM Rev. 27 (1998) 789-837
    • (1998) SIAM Rev. , vol.27 , pp. 789-837
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 4
    • 40849122792 scopus 로고    scopus 로고
    • B. De Maerschalck, Space-time least-squares spectral element method for unsteady flows-application and evaluation for linear and non-linear hyperbolic scalar equations, Master Thesis, Delft University of Technology, Delft, The Netherlands, 〈http://www.hsa.lr.tudelft.nl/∼bart〉, 2003.
    • B. De Maerschalck, Space-time least-squares spectral element method for unsteady flows-application and evaluation for linear and non-linear hyperbolic scalar equations, Master Thesis, Delft University of Technology, Delft, The Netherlands, 〈http://www.hsa.lr.tudelft.nl/∼bart〉, 2003.
  • 5
    • 23944474378 scopus 로고    scopus 로고
    • The use of the Chebyshev approximation in the space-time least-squares spectral element method
    • De Maerschalck B., and Gerritsma M.I. The use of the Chebyshev approximation in the space-time least-squares spectral element method. Numer. Algorithms 38 (2005) 173-196
    • (2005) Numer. Algorithms , vol.38 , pp. 173-196
    • De Maerschalck, B.1    Gerritsma, M.I.2
  • 6
    • 33745046634 scopus 로고    scopus 로고
    • Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations
    • De Maerschalck B., and Gerritsma M.I. Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations. J. Sci. Comput. 27 1-3 (2006) 201-214
    • (2006) J. Sci. Comput. , vol.27 , Issue.1-3 , pp. 201-214
    • De Maerschalck, B.1    Gerritsma, M.I.2
  • 7
    • 33645400399 scopus 로고    scopus 로고
    • Space-time least-squares spectral elements for convection dominated unsteady flows
    • De Maerschalck B., Gerritsma M.I., and Proot M.M.J. Space-time least-squares spectral elements for convection dominated unsteady flows. AIAA J. 44 (2006) 558-565
    • (2006) AIAA J. , vol.44 , pp. 558-565
    • De Maerschalck, B.1    Gerritsma, M.I.2    Proot, M.M.J.3
  • 8
    • 14544278067 scopus 로고    scopus 로고
    • Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs
    • De Sterck H., Manteuffel T.A., McCormick S.F., and Olson L. Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. SIAM J. Sci. Comput. 26 1 (2004) 31-54
    • (2004) SIAM J. Sci. Comput. , vol.26 , Issue.1 , pp. 31-54
    • De Sterck, H.1    Manteuffel, T.A.2    McCormick, S.F.3    Olson, L.4
  • 9
    • 85140867784 scopus 로고    scopus 로고
    • H. De Sterck, T.A. Manteuffel, S.F. McCormick, L. Olson, Numerical conservation properties of H (div)-conforming least-squares finite element methods applied to the Burgers equation SIAM J. Sci. Comput. 26 (2005) 1573-1597.
    • H. De Sterck, T.A. Manteuffel, S.F. McCormick, L. Olson, Numerical conservation properties of H (div)-conforming least-squares finite element methods applied to the Burgers equation SIAM J. Sci. Comput. 26 (2005) 1573-1597.
  • 10
    • 40849129296 scopus 로고    scopus 로고
    • W. Hoitinga, R. de Groot, M.I. Gerritsma, Direct minimization of the least squares spectral element functional-Part I: direct solver, (http://www.lr.tudelft.nl/em/wijnand), 2003.
    • W. Hoitinga, R. de Groot, M.I. Gerritsma, Direct minimization of the least squares spectral element functional-Part I: direct solver, (http://www.lr.tudelft.nl/em/wijnand), 2003.
  • 15
    • 0141850310 scopus 로고    scopus 로고
    • Spectral/hp least squares finite element formulation for the Navier-Stokes equation
    • Pontaza J.P., and Reddy J.N. Spectral/hp least squares finite element formulation for the Navier-Stokes equation. J. Comput. Phys. 190 2 (2003) 523-549
    • (2003) J. Comput. Phys. , vol.190 , Issue.2 , pp. 523-549
    • Pontaza, J.P.1    Reddy, J.N.2
  • 16
    • 3242685785 scopus 로고    scopus 로고
    • Space-time coupled spectral/hp least squares finite element formulation for the incompressible Navier-Stokes equation
    • Pontaza J.P., and Reddy J.N. Space-time coupled spectral/hp least squares finite element formulation for the incompressible Navier-Stokes equation. J. Comput. Phys. 197 2 (2004) 418-459
    • (2004) J. Comput. Phys. , vol.197 , Issue.2 , pp. 418-459
    • Pontaza, J.P.1    Reddy, J.N.2
  • 17
    • 40849091884 scopus 로고    scopus 로고
    • M.M.J. Proot, The least-squares spectral element method, Ph.D. Thesis, Department of Aerospace Engineering, Delft University of Technology, Delft, The Netherlands, February 2003.
    • M.M.J. Proot, The least-squares spectral element method, Ph.D. Thesis, Department of Aerospace Engineering, Delft University of Technology, Delft, The Netherlands, February 2003.
  • 18
    • 0010916838 scopus 로고    scopus 로고
    • A least-squares spectral element formulation for the Stokes problem
    • Proot M.M.J., and Gerritsma M.I. A least-squares spectral element formulation for the Stokes problem. J. Sci. Comput. 17 (2002) 285-296
    • (2002) J. Sci. Comput. , vol.17 , pp. 285-296
    • Proot, M.M.J.1    Gerritsma, M.I.2
  • 19
    • 0037144888 scopus 로고    scopus 로고
    • Least-squares spectral elements applied to the Stokes problem
    • Proot M.M.J., and Gerritsma M.I. Least-squares spectral elements applied to the Stokes problem. J. Comput. Phys. 181 (2002) 454-477
    • (2002) J. Comput. Phys. , vol.181 , pp. 454-477
    • Proot, M.M.J.1    Gerritsma, M.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.