메뉴 건너뛰기




Volumn 47, Issue 5, 2009, Pages 3339-3358

A finite element method for elliptic equations on surfaces

Author keywords

Finite element; Interface; Level set method; Marangoni; Surface; Two phase flow

Indexed keywords

DISCRETIZATIONS; ELEMENT SPACE; ELLIPTIC EQUATIONS; FINITE ELEMENT; INTERFACE; L2-NORM; LEVEL SET METHOD; MARANGONI; NUMERICAL EXPERIMENTS; OPTIMAL ORDER OF CONVERGENCE; OPTIMALITY; OUTER DOMAIN;

EID: 70350169333     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/080717602     Document Type: Article
Times cited : (203)

References (13)
  • 2
    • 77950259990 scopus 로고    scopus 로고
    • An h-narrow band fi- nite element method for elliptic equations on implicit surfaces
    • 10.1093/imanum/drn049
    • K. Deckelnick, G. Dziuk, C. M. Elliott, and C.-J. Heine, An h-narrow band fi- nite element method for elliptic equations on implicit surfaces, IMA J. Numer. Anal., doi:10.1093/imanum/drn049 (2009).
    • (2009) IMA J. Numer. Anal.
    • Deckelnick, K.1    Dziuk, G.2    Elliott, C.M.3    Heine, C.-J.4
  • 3
    • 40049084767 scopus 로고    scopus 로고
    • An adaptive finite element method for the Laplace-Beltrami operator on implicitly defined surfaces
    • A. Demlow and G. Dziuk, An adaptive finite element method for the Laplace-Beltrami operator on implicitly defined surfaces, SIAM J. Numer. Anal., 45 (2007) 421-442.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 421-442
    • Demlow, A.1    Dziuk, G.2
  • 4
    • 84977876816 scopus 로고    scopus 로고
    • DROPS package. http://www.igpm.rwth-aachen.de/DROPS/.
    • DROPS Package
  • 5
    • 0010974195 scopus 로고
    • Finite elements for the beltrami operator on arbitrary surfaces
    • Partial differential Equations and Calculus of Variations, S. Hildebrandt and R. Leis, eds. Springer-Verlag, Berlin
    • G. Dziuk, Finite elements for the beltrami operator on arbitrary surfaces, in Partial differential Equations and Calculus of Variations, S. Hildebrandt and R. Leis, eds., vol.1357 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1988 142-155.
    • (1988) Lecture Notes in Mathematics , vol.1357 , pp. 142-155
    • Dziuk, G.1
  • 6
    • 33751093024 scopus 로고    scopus 로고
    • A finite element based level set method for two-phase incompressible flows
    • S. Groß, V. Reichelt, and A. Reusken, A finite element based level set method for two-phase incompressible flows, Comp. Vis. Sci., 9 (2006) 239-257.
    • (2006) Comp. Vis. Sci. , vol.9 , pp. 239-257
    • Groß, S.1    Reichelt, V.2    Reusken, A.3
  • 7
    • 34248211730 scopus 로고    scopus 로고
    • An extended pressure finite element space for two-phase incompressible flows
    • S. Groß and A. Reusken, An extended pressure finite element space for two-phase incompressible flows, J. Comp. Phys., 224 (2007) 40-58.
    • (2007) J. Comp. Phys. , vol.224 , pp. 40-58
    • Groß, S.1    Reusken, A.2
  • 8
    • 47849088773 scopus 로고    scopus 로고
    • Finite element discretization error analysis of a surface tension force in two-phase incompressible flows
    • S. Groß and A. Reusken, Finite element discretization error analysis of a surface tension force in two-phase incompressible flows, SIAM J. Numer. Anal., 45 (2007) 1679-1700.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 1679-1700
    • Groß, S.1    Reusken, A.2
  • 9
    • 8744235083 scopus 로고    scopus 로고
    • A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
    • A. James and J. Lowengrub, A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant, J. Comp. Phys., 201 (2004) 685-722.
    • (2004) J. Comp. Phys. , vol.201 , pp. 685-722
    • James, A.1    Lowengrub, J.2
  • 10
    • 38049138795 scopus 로고    scopus 로고
    • A front-tracking method for computation of interfacial flows with soluble surfactant
    • M. Muradoglu and G. Tryggvason, A front-tracking method for computation of interfacial flows with soluble surfactant, J. Comput. Phys., 227 (2008) 2238-2262.
    • (2008) J. Comput. Phys. , vol.227 , pp. 2238-2262
    • Muradoglu, M.1    Tryggvason, G.2
  • 11
    • 72749084586 scopus 로고    scopus 로고
    • A finite element method for surface PDES: Matrix properties
    • 287, IGPM. (in press) DOI, 10.1007/s00211-009-0260-264
    • M. A. Olshanskii and A. Reusken, A finite element method for surface PDES: Matrix properties, 287, IGPM, 2008, Numer. Math. (in press) DOI, 10.1007/s00211-009-0260-264
    • (2008) Numer. Math.
    • Olshanskii, M.A.1    Reusken, A.2
  • 12
    • 34250943125 scopus 로고
    • An optimal poincare inequality in convex domains
    • L. E. Payne and H. F. Weinberger, An optimal poincare inequality in convex domains, Arch. Rat. Mech. Anal., 5 (1960) 280-292.
    • (1960) Arch. Rat. Mech. Anal. , vol.5 , pp. 280-292
    • Payne, L.E.1    Weinberger, H.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.