메뉴 건너뛰기




Volumn 56, Issue 9, 2006, Pages 1179-1195

Mass preserving finite element implementations of the level set method

Author keywords

Discontinuous Galerkin; Interior penalty stabilization; Level set method

Indexed keywords

FLUID DYNAMICS; GALERKIN METHODS; NAVAL ARCHITECTURE; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33745678518     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2006.03.003     Document Type: Article
Times cited : (59)

References (19)
  • 1
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • Arnold D.N., Brezzi F., Cockburn B., and Marini D. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39 5 (2001) 1749-1779
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, D.4
  • 2
    • 0002437983 scopus 로고    scopus 로고
    • Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
    • Barth T.J., and Sethian J.A. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. J. Comput. Phys. 145 (1998) 1-40
    • (1998) J. Comput. Phys. , vol.145 , pp. 1-40
    • Barth, T.J.1    Sethian, J.A.2
  • 3
    • 0030196631 scopus 로고    scopus 로고
    • hp-version discontinuous Galerkin methods for hyperbolic conservation laws
    • Bey K., and Oden J. hp-version discontinuous Galerkin methods for hyperbolic conservation laws. Comput. Methods Appl. Mech. Engrg. 133 3-4 (1996) 259-286
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.133 , Issue.3-4 , pp. 259-286
    • Bey, K.1    Oden, J.2
  • 4
    • 33745674971 scopus 로고    scopus 로고
    • A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty
    • Burman E. A unified analysis for conforming and nonconforming stabilized finite element methods using interior penalty. SIAM J. Numer. Anal. 43 5 (2005) 2012-2033
    • (2005) SIAM J. Numer. Anal. , vol.43 , Issue.5 , pp. 2012-2033
    • Burman, E.1
  • 6
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • Cockburn B., and Shu C. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 16 3 (2001) 173-261
    • (2001) J. Sci. Comput. , vol.16 , Issue.3 , pp. 173-261
    • Cockburn, B.1    Shu, C.2
  • 7
    • 9644261240 scopus 로고
    • A finite element method for the simulation of Rayleigh-Taylor instability
    • Rautmann R. (Ed), Springer, Berlin
    • Dervieux A., and Thomasset F. A finite element method for the simulation of Rayleigh-Taylor instability. In: Rautmann R. (Ed). Approximation Methods for Navier-Stokes Problems (1980), Springer, Berlin 145-158
    • (1980) Approximation Methods for Navier-Stokes Problems , pp. 145-158
    • Dervieux, A.1    Thomasset, F.2
  • 8
    • 33745661974 scopus 로고    scopus 로고
    • D.A. Di Pietro, Discontinuous Galerkin methods for incompressible Navier-Stokes equations, PhD thesis, Università degli Studi di Bergamo, January 2006
  • 9
    • 0037146444 scopus 로고    scopus 로고
    • A hybrid particle level set method for improved interface capturing
    • Enright D., Fedkiw R., Ferziger J., and Mitchell I. A hybrid particle level set method for improved interface capturing. J. Comput. Phys. 183 (2002) 83-116
    • (2002) J. Comput. Phys. , vol.183 , pp. 83-116
    • Enright, D.1    Fedkiw, R.2    Ferziger, J.3    Mitchell, I.4
  • 10
    • 0033264647 scopus 로고    scopus 로고
    • Stabilization of Galerkin approximation of transport equations by subgrid modeling
    • Guermond J.L. Stabilization of Galerkin approximation of transport equations by subgrid modeling. Math. Model. Numer. Anal. (1999) 1293-1316
    • (1999) Math. Model. Numer. Anal. , pp. 1293-1316
    • Guermond, J.L.1
  • 11
    • 0036347672 scopus 로고    scopus 로고
    • hp-adaptive discontinuous Galerkin finite element methods for first order hyperbolic problems
    • Houston P., and Süli E. hp-adaptive discontinuous Galerkin finite element methods for first order hyperbolic problems. SIAM J. Sci. Comput. 23 3 (2001) 1226-1252
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.3 , pp. 1226-1252
    • Houston, P.1    Süli, E.2
  • 13
    • 84966238599 scopus 로고
    • An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
    • Johnson C., and Pitkäranta J. An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Math. Comp. 46 173 (1986) 1-26
    • (1986) Math. Comp. , vol.46 , Issue.173 , pp. 1-26
    • Johnson, C.1    Pitkäranta, J.2
  • 14
    • 0037244453 scopus 로고    scopus 로고
    • Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems
    • Krivodonova L., and Flaherty J.E. Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems. Adv. Comput. Math. 19 1-3 (2003) 57-71
    • (2003) Adv. Comput. Math. , vol.19 , Issue.1-3 , pp. 57-71
    • Krivodonova, L.1    Flaherty, J.E.2
  • 15
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 16
    • 33745667084 scopus 로고    scopus 로고
    • N. Parolini, Computational fluid dynamics for Naval engineering applications, PhD thesis, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, June 2004
  • 17
    • 33745644087 scopus 로고    scopus 로고
    • A finite element level set method for viscous free-surface flows
    • Primicerio M., Spigler R., and Valente V. (Eds), World Scientific, Singapore
    • Parolini N., and Burman E. A finite element level set method for viscous free-surface flows. In: Primicerio M., Spigler R., and Valente V. (Eds). Applied and Industrial Mathematics in Italy, Proceedings of SIMAI 2004 (2005), World Scientific, Singapore 416-427
    • (2005) Applied and Industrial Mathematics in Italy, Proceedings of SIMAI 2004 , pp. 416-427
    • Parolini, N.1    Burman, E.2
  • 19
    • 0001700852 scopus 로고
    • The classical field theories
    • Springer, Berlin
    • Truesdell C., and Toupin R. The classical field theories. Handbuch der Physik (1960), Springer, Berlin 226-793
    • (1960) Handbuch der Physik , pp. 226-793
    • Truesdell, C.1    Toupin, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.