메뉴 건너뛰기




Volumn 102, Issue 3, 2006, Pages 463-495

A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local dirichlet problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 29144471810     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0659-5     Document Type: Article
Times cited : (67)

References (18)
  • 1
    • 0001533213 scopus 로고
    • Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder
    • Allen, D.N., Southwell, R.V.: Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder. Quart. J. Mech. Appl. Math. 8, 129-145 (1955)
    • (1955) Quart. J. Mech. Appl. Math. , vol.8 , pp. 129-145
    • Allen, D.N.1    Southwell, R.V.2
  • 4
    • 0033407951 scopus 로고    scopus 로고
    • Entropy solutions for nonlinear degenerate problems
    • Carrillo, J.: Entropy solutions for nonlinear degenerate problems. Arch. Rat. Mech. Anal. 147, 269-361 (1999)
    • (1999) Arch. Rat. Mech. Anal. , vol.147 , pp. 269-361
    • Carrillo, J.1
  • 5
    • 0035836868 scopus 로고    scopus 로고
    • Degenerate two-phase incompressible flow
    • Chen, Z.: Degenerate Two-Phase Incompressible Flow. J. Differential Equations 171, 203-232 (2001)
    • (2001) J. Differential Equations , vol.171 , pp. 203-232
    • Chen, Z.1
  • 7
    • 84861293542 scopus 로고    scopus 로고
    • Ph.D thesis, Université de Marne-la-vallée and Institut Français du Pétrole
    • Enchéry G.: Ph.D thesis, Université de Marne-la- vallée and Institut Français du Pétrole, 2004
    • (2004)
    • Enchéry, G.1
  • 8
    • 2342565066 scopus 로고    scopus 로고
    • H-convergence and numerical schemes for elliptic problems
    • Eymard, R., Gallouët, T.: H-convergence and numerical schemes for elliptic problems. SIAM J. Numer. Anal. 41(2), 539-562 (2003)
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.2 , pp. 539-562
    • Eymard, R.1    Gallouët, T.2
  • 9
    • 0039526846 scopus 로고    scopus 로고
    • Convergence of finitie volume schemes for semilinear convection diffusion equations
    • Eymard, R., Gallouët, T., Herbin, R.: Convergence of finitie volume schemes for semilinear convection diffusion equations. Numer. Math 82(1), 91-116 (1999)
    • (1999) Numer. Math , vol.82 , Issue.1 , pp. 91-116
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 10
    • 70350322945 scopus 로고    scopus 로고
    • The finite volume method
    • Ph. Ciarlet J.L. Lions (eds), VII, North Holland
    • Eymard, R., Gallouët, T., Herbin, R.: The finite volume method. In: Ph. Ciarlet J.L. Lions (eds) Handbook for Numerical Analysis, VII, North Holland 2000, pp. 715-1022
    • (2000) Handbook for Numerical Analysis , pp. 715-1022
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 11
    • 0036022623 scopus 로고    scopus 로고
    • Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
    • Eymard, R., Gallouët, T., Herbin, R., Michel, A.: Convergence of a finite volume scheme for nonlinear degenerate parabolic equations. Numer.Math 92, 41-82 (2002)
    • (2002) Numer.Math , vol.92 , pp. 41-82
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3    Michel, A.4
  • 13
    • 0035312041 scopus 로고    scopus 로고
    • Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws
    • Fuhrmann, J., Langmach, H.: Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws. Appl. Numer. Math 37(1-2), 201-230 (2001)
    • (2001) Appl. Numer. Math , vol.37 , Issue.1-2 , pp. 201-230
    • Fuhrmann, J.1    Langmach, H.2
  • 14
    • 0000935266 scopus 로고
    • A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
    • Godunov, S.K.: A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb. 47, 271-290 (1959)
    • (1959) Mat. Sb. , vol.47 , pp. 271-290
    • Godunov, S.K.1
  • 15
    • 0000101872 scopus 로고
    • A difference scheme for a differential equation with a small parameter multiplying the second derivative
    • Il'in, A.M.: A difference scheme for a differential equation with a small parameter multiplying the second derivative. Matematičeskije zametki 6, 237-248 (1969)
    • (1969) Matematičeskije Zametki , vol.6 , pp. 237-248
    • Il'in, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.