메뉴 건너뛰기
Numerische Mathematik
Volumn 98, Issue 2, 2004, Pages 195-221
Finite element approximation of a nonlinear cross-diffusion population model
Author keywords

[No Author keywords available]
Indexed keywords

EID: 4544284676     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0540-y     Document Type: Article
Times cited : (59)
References (12)
  • 1
    • 0007449920 scopus 로고
    • Cone conditions and properties of Sobolev spaces
    • Adams, R.A., Fournier, J.: Cone conditions and properties of Sobolev spaces. J. Math. Anal. Appl. 61, 713-734 (1977)
    • (1977) J. Math. Anal. Appl. , vol.61 , pp. 713-734
    • Adams, R.A.1    Fournier, J.2
  • 2
    • 4043069669 scopus 로고    scopus 로고
    • Finite element approximation of surfactant spreading on a thin film
    • Barrett, J.W., Garcke, H., Nürnberg, R.: Finite element approximation of surfactant spreading on a thin film. SIAM J. Numer. Anal. 41, 1427-1464 (2003)
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 1427-1464
    • Barrett, J.W.1    Garcke, H.2    Nürnberg, R.3
  • 3
    • 4544349871 scopus 로고    scopus 로고
    • Finite element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation
    • Barrett, J.W., Nürnberg, R.: Finite element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Interfaces Free Bound. 4, 277-307 (2002)
    • (2002) Interfaces Free Bound. , vol.4 , pp. 277-307
    • Barrett, J.W.1    Nürnberg, R.2
  • 4
    • 4043077884 scopus 로고    scopus 로고
    • Convergence of a finite element approximation of surfactant spreading on a thin film in the presence of van der Waals forces
    • Barrett, J.W., Nürnberg, R.: Convergence of a finite element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. IMA J. Numer. Anal. 24, 323-363 (2004)
    • (2004) IMA J. Numer. Anal. , vol.24 , pp. 323-363
    • Barrett, J.W.1    Nürnberg, R.2
  • 5
    • 14544281036 scopus 로고    scopus 로고
    • Analysis of a multi-dimensional parabolic population model with strong cross-diffusion
    • to appear
    • Chen, L., Jüngel, A.: Analysis of a multi-dimensional parabolic population model with strong cross-diffusion, SIAM J. Math. Anal. 2004 (to appear).
    • (2004) SIAM J. Math. Anal.
    • Chen, L.1    Jüngel, A.2
  • 6
    • 4544271264 scopus 로고    scopus 로고
    • Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics
    • Galiano, G., Garzón, M.L., Jüngel, A.: Analysis and numerical solution of a nonlinear cross-diffusion system arising in population dynamics. Rev. Real Acad. Ciencias, Serie A. Mat. 95, 281-295 (2001)
    • (2001) Rev. Real Acad. Ciencias, Serie A. Mat. , vol.95 , pp. 281-295
    • Galiano, G.1    Garzón, M.L.2    Jüngel, A.3
  • 7
    • 0242389718 scopus 로고    scopus 로고
    • Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
    • Galiano, G., Garzón, M.L., Jüngel, A.: Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model. Numer. Math. 93, 655-673 (2003)
    • (2003) Numer. Math. , vol.93 , pp. 655-673
    • Galiano, G.1    Garzón, M.L.2    Jüngel, A.3
  • 8
    • 2442546472 scopus 로고    scopus 로고
    • A parabolic cross-diffusion system for granular materials
    • Galiano, G., Jüngel, A., Velasco, J.: A parabolic cross-diffusion system for granular materials. SIAM J. Math. Anal. 35, 561-578 (2003)
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 561-578
    • Galiano, G.1    Jüngel, A.2    Velasco, J.3
  • 9
    • 0034553999 scopus 로고    scopus 로고
    • Nonnegativity preserving numerical schemes for the thin film equation
    • Grün, G., Rumpf, M.: Nonnegativity preserving numerical schemes for the thin film equation. Numer. Math. 87, 113-152 (2000)
    • (2000) Numer. Math. , vol.87 , pp. 113-152
    • Grün, G.1    Rumpf, M.2
  • 11
    • 0000781293 scopus 로고    scopus 로고
    • Albert - Software for scientific computations and applications
    • Schmidt, A., Siebert, K.G.: Albert - software for scientific computations and applications. Acta Math. Univ. Comenian. 70, 105-122 (2001)
    • (2001) Acta Math. Univ. Comenian. , vol.70 , pp. 105-122
    • Schmidt, A.1    Siebert, K.G.2
  • 12
    • 0000708355 scopus 로고    scopus 로고
    • Positivity preserving numerical schemes for lubrication-type equations
    • Zhornitskaya, L., Bertozzi, A.L.: Positivity preserving numerical schemes for lubrication-type equations. SIAM J. Numer. Anal. 37, 523-555 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 523-555
    • Zhornitskaya, L.1    Bertozzi, A.L.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.