메뉴 건너뛰기




Volumn 205, Issue 1, 2005, Pages 242-268

An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems

Author keywords

Fictitious domains; Mixed finite element methods; Operator splitting; Perfectly matched layer

Indexed keywords

FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; WAVE PROPAGATION;

EID: 16844386370     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.10.040     Document Type: Article
Times cited : (12)

References (32)
  • 1
    • 0012532648 scopus 로고
    • Solution of certain boundary-value problems on high-speed computers by thefictitious-domain method
    • V.K. Saul'ev Solution of certain boundary-value problems on high-speed computers by thefictitious-domain method Sibirsk. Mat. Ž. 4 1963 912-925
    • (1963) Sibirsk. Mat. Ž. , vol.4 , pp. 912-925
    • Saul'ev, V.K.1
  • 3
    • 0025474829 scopus 로고
    • On finite element domain imbedding methods
    • C. Börgers O.B. Widlund On finite element domain imbedding methods SIAM J. Numer. Anal. 27 1990 963-978
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 963-978
    • Börgers, C.1    Widlund, O.B.2
  • 4
    • 0001199332 scopus 로고
    • Two-stage fictitious components method for solving the Dirichlet boundary value problem
    • S.A. Finogenov Y.A. Kuznetsov Two-stage fictitious components method for solving the Dirichlet boundary value problem Sov. J. Numer. Anal. Math. Model. 3 1988 301-323
    • (1988) Sov. J. Numer. Anal. Math. Model. , vol.3 , pp. 301-323
    • Finogenov, S.A.1    Kuznetsov, Y.A.2
  • 5
    • 0001954099 scopus 로고
    • A capacitance matrix method for Dirichlet problem on polygonal region
    • M. Dryja A capacitance matrix method for Dirichlet problem on polygonal region Numer. Math. 39 1982 51-64
    • (1982) Numer. Math. , vol.39 , pp. 51-64
    • Dryja, M.1
  • 6
    • 0030369255 scopus 로고    scopus 로고
    • A finite element capacitance matrix method for exterior Hemholtz problems
    • O.G. Ernst A finite element capacitance matrix method for exterior Hemholtz problems Numer. Math. 75 1996 175-204
    • (1996) Numer. Math. , vol.75 , pp. 175-204
    • Ernst, O.G.1
  • 7
    • 0001817973 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for particulate flows
    • M.-O. Bristeau G. Etgen F. Fitzgibbon J.-L. Lions J. Périaux M.F. Wiley Chichester
    • R. Glowinski T. Hesla D.D. Joseph T.W. Pan J. Périaux Distributed Lagrange multiplier methods for particulate flows in: M.-O. Bristeau G. Etgen F. Fitzgibbon J.-L. Lions J. Périaux M.F. (Eds.), Wheeler Computational Science for the 21st Century 1997 Wiley Chichester 270-279
    • (1997) Wheeler Computational Science for the 21st Century , pp. 270-279
    • Glowinski, R.1    Hesla, T.2    Joseph, D.D.3    Pan, T.W.4    Périaux, J.5
  • 8
  • 9
    • 0012534929 scopus 로고    scopus 로고
    • Iterative analysis of finite element problems with Lagrange multipliers
    • M.-O. Bristeau G. Etgen F. Fitzgibbon J.-L. Lions J. Périaux M.F. Wiley Chichester
    • Y.A. Kuznetsov Iterative analysis of finite element problems with Lagrange multipliers in: M.-O. Bristeau G. Etgen F. Fitzgibbon J.-L. Lions J. Périaux M.F.(Eds.), Wheeler Computational Science for the 21st Century 1997 Wiley Chichester 170-178
    • (1997) Wheeler Computational Science for the 21st Century , pp. 170-178
    • Kuznetsov, Y.A.1
  • 10
    • 0032324844 scopus 로고    scopus 로고
    • On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrange multiplier method
    • R. Glowinski Y. Kuznetsov On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrange multiplier method C.R. Acad. Sci. Paris Sér. I Math. 327 1998 693-698
    • (1998) C.R. Acad. Sci. Paris Sér. I Math. , vol.327 , pp. 693-698
    • Glowinski, R.1    Kuznetsov, Y.2
  • 11
    • 0039504918 scopus 로고    scopus 로고
    • Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers
    • H.G. Bock F. Brezzi R. Glowinski G. Kanschat Y. Kuznetsov J. Périaux R. Rannacher World Scientific Singapore
    • E. Heikkola T. Rossi P. Tarvainen Y. Kuznetsov Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers in: H.G. Bock F. Brezzi R. Glowinski G. Kanschat Y. Kuznetsov J. Périaux R. Rannacher (Eds.), ENUMATH 97 1998 World Scientific Singapore 646-661
    • (1998) ENUMATH 97 , pp. 646-661
    • Heikkola, E.1    Rossi, T.2    Tarvainen, P.3    Kuznetsov, Y.4
  • 12
    • 16844363436 scopus 로고
    • Une analyse de la méthode des domaines fictifs pour le probleme de Hemholtz extérieur
    • Tech. Rep. 1378 INRIA
    • C. Atamian, P. Joly, Une analyse de la méthode des domaines fictifs pour le probleme de Hemholtz extérieur, Tech. Rep. 1378, INRIA, 1991
    • (1991)
    • Atamian, C.1    Joly, P.2
  • 14
    • 0031539346 scopus 로고    scopus 로고
    • Fictitious domain method for unsteady problems: Application to electromagnetic scattering
    • F. Collino P. Joly F. Millot Fictitious domain method for unsteady problems: Application to electromagnetic scattering J. Comput. Phys. 138 1997 907-938
    • (1997) J. Comput. Phys. , vol.138 , pp. 907-938
    • Collino, F.1    Joly, P.2    Millot, F.3
  • 15
    • 85189843287 scopus 로고    scopus 로고
    • Une méthode de domaines fictifs pour la modélisation des structures rayonnantes tridimensionnelles
    • Ph.D. Thesis, Ecole Nationale Supérieure de Aéronautique et de Espace
    • S. Garces, Une méthode de domaines fictifs pour la modélisation des structures rayonnantes tridimensionnelles, Ph.D. Thesis, Ecole Nationale Supérieure de Aéronautique et de Espace, 1997
    • (1997)
    • Garces, S.1
  • 16
    • 0028035577 scopus 로고
    • A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
    • R. Glowinski T.W. Pan J. Périaux A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations Comput. Math. Appl. Mech. Eng. 112 1994 113-148
    • (1994) Comput. Math. Appl. Mech. Eng. , vol.112 , pp. 113-148
    • Glowinski, R.1    Pan, T.W.2    Périaux, J.3
  • 18
    • 0040690124 scopus 로고
    • Méthodes de domaines fictifs en méchanique des fluides: Applications aux écoulements potentiels instationnaires autour d'obstacles mobiles
    • Ph.D. Thesis, Université Paris VI
    • J. He, Méthodes de domaines fictifs en méchanique des fluides: Applications aux écoulements potentiels instationnaires autour d'obstacles mobiles, Ph.D. Thesis, Université Paris VI, 1994
    • (1994)
    • He, J.1
  • 19
    • 16844378785 scopus 로고    scopus 로고
    • Computational methods for wave propagation problems in unbounded domains
    • Ph.D. Thesis, Department of Mathematics, University of Houston, May
    • V. Bokil, Computational methods for wave propagation problems in unbounded domains, Ph.D. Thesis, Department of Mathematics, University of Houston, May 2003
    • (2003)
    • Bokil, V.1
  • 21
    • 85189851326 scopus 로고    scopus 로고
    • A fictitious-domain method with distributed multiplier for the Stokes problem
    • V. Girault R. Glowinski T.W. Pan A fictitious-domain method with distributed multiplier for the Stokes problem C.R. Acad. Sci. Paris Sér. I Math. 327 1998 693-698
    • (1998) C.R. Acad. Sci. Paris Sér. I Math. , vol.327 , pp. 693-698
    • Girault, V.1    Glowinski, R.2    Pan, T.W.3
  • 22
    • 0031985381 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
    • R. Glowinski T.W. Pan J. Périaux Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies Comput. Meth. Appl. Mech. Eng. 151 1998 181-194
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.151 , pp. 181-194
    • Glowinski, R.1    Pan, T.W.2    Périaux, J.3
  • 25
    • 0001217594 scopus 로고
    • Error analysis of a fictitious domain method applied to a Dirichlet problem
    • V. Girault R. Glowinski Error analysis of a fictitious domain method applied to a Dirichlet problem Jpn. J. Ind. Appl. Math. 12 3 1995 487-514
    • (1995) Jpn. J. Ind. Appl. Math. , vol.12 , Issue.3 , pp. 487-514
    • Girault, V.1    Glowinski, R.2
  • 26
    • 45949114901 scopus 로고
    • Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
    • F. Kikuchi Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism Comput. Meth. Appl. Mech. Eng. 64 1-3 1987 509-521
    • (1987) Comput. Meth. Appl. Mech. Eng. , vol.64 , Issue.1-3 , pp. 509-521
    • Kikuchi, F.1
  • 28
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • P.G. Ciarlet J.L. Lions (Eds.) North-Holland Amsterdam
    • G.I. Marchuk Splitting and alternating direction methods in: P.G. Ciarlet J.L. Lions (Eds.) Handbook of Numerical Analysis 1990 North-Holland Amsterdam 197-462
    • (1990) Handbook of Numerical Analysis , pp. 197-462
    • Marchuk, G.I.1
  • 29
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 1968 506-517
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506-517
    • Strang, G.1
  • 30
    • 0028498156 scopus 로고
    • A 3D perfectly matched medium from modified Maxwells equations with stretched coordinates
    • W.C. Chew W.H. Weedon A 3D perfectly matched medium from modified Maxwells equations with stretched coordinates Microwave Opt. Technol. Lett. 7 13 1994 599-604
    • (1994) Microwave Opt. Technol. Lett. , vol.7 , Issue.13 , pp. 599-604
    • Chew, W.C.1    Weedon, W.H.2
  • 32
    • 0003070124 scopus 로고    scopus 로고
    • Fictitious domain methods for the numerical solution of two-dimensional scattering problems
    • E. Heikkola Y.A. Kuznetsov P. Neittaanmäki J. Toivanen Fictitious domain methods for the numerical solution of two-dimensional scattering problems J. Comput. Phys. 145 1998 89-109
    • (1998) J. Comput. Phys. , vol.145 , pp. 89-109
    • Heikkola, E.1    Kuznetsov, Y.A.2    Neittaanmäki, P.3    Toivanen, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.