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Volumn 64, Issue 10-12, 2010, Pages 1180-1200

Information flux maximum-entropy approximation schemes for convection-diffusion problems

Author keywords

Computational fluid mechanics; Information theory; Maximum entropy; Meshfree methods

Indexed keywords

APPROXIMATION SCHEME; COMPUTATIONAL FLUID MECHANICS; CONVECTION DIFFUSION PROBLEMS; INFORMATION FLUX; MAXIMUM ENTROPY; MESH-FREE METHOD; NUMERICAL EXAMPLE; NUMERICAL INSTABILITY; PHYSICAL INTERPRETATION; SHANNON'S INFORMATION THEORY; STABILIZED FINITE ELEMENT METHODS;

EID: 78649664505     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2271     Document Type: Article
Times cited : (10)

References (26)
  • 4
    • 0019080468 scopus 로고
    • A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
    • Kelly D, Nakazawa S, Zienkiewicz O. A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems. International Journal for Numerical Methods in Engineering 1980; 15:1705-1711.
    • (1980) International Journal for Numerical Methods in Engineering , vol.15 , pp. 1705-1711
    • Kelly, D.1    Nakazawa, S.2    Zienkiewicz, O.3
  • 5
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A, Hughes TJR. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1982; 32:199-259.
    • (1982) Computer Methods in Applied Mechanics and Engineering , vol.32 , pp. 199-259
    • Brooks, A.1    Hughes, T.J.R.2
  • 8
    • 78649682484 scopus 로고    scopus 로고
    • A meshfree formulation for the numerical solution of the viscous compressible Navier-Stokes equations. Dissertation, Northwestern University, Evanston, IL.
    • Günther F. A meshfree formulation for the numerical solution of the viscous compressible Navier-Stokes equations. Dissertation, Northwestern University, Evanston, IL, 1998.
    • (1998)
    • Günther, F.1
  • 9
    • 0011972111 scopus 로고    scopus 로고
    • The Meshless Local Petrov-Galerkin (MLPG) Method
    • Tech Science Press: Stuttgart.
    • Atluri S, Shen S. The Meshless Local Petrov-Galerkin (MLPG) Method. Tech Science Press: Stuttgart, 2002.
    • (2002)
    • Atluri, S.1    Shen, S.2
  • 12
    • 34347388899 scopus 로고    scopus 로고
    • A 'divide-and-conquer' spatial and temporal multiscale method for transient convection-diffussion-reaction equations
    • Gravemeier V, Wall WA. A 'divide-and-conquer' spatial and temporal multiscale method for transient convection-diffussion-reaction equations. International Journal for Numerical Methods in Fluids 2007; 54:779-804.
    • (2007) International Journal for Numerical Methods in Fluids , vol.54 , pp. 779-804
    • Gravemeier, V.1    Wall, W.A.2
  • 13
    • 33746192400 scopus 로고    scopus 로고
    • A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations-Part I: stabilization
    • Fries TP, Matthies HG. A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations-Part I: stabilization. Computer Methods in Applied Mechanics and Engineering 2006; 195:6205-6224.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 6205-6224
    • Fries, T.P.1    Matthies, H.G.2
  • 14
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Shannon CE. A mathematical theory of communication. The Bell System Technical Journal 1948; 27(3):279-423.
    • (1948) The Bell System Technical Journal , vol.27 , Issue.3 , pp. 279-423
    • Shannon, C.E.1
  • 15
    • 33645287543 scopus 로고    scopus 로고
    • Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
    • Arroyo M, Ortiz M. Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. International Journal for Numerical Methods in Engineering 2006; 65:2167-2202.
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , pp. 2167-2202
    • Arroyo, M.1    Ortiz, M.2
  • 16
    • 70249127275 scopus 로고    scopus 로고
    • Smooth, second order, non-negative meshfree approximants selected by maximum entropy
    • Available online.
    • Cyron CJ, Arroyo M, Ortiz M. Smooth, second order, non-negative meshfree approximants selected by maximum entropy. International Journal for Numerical Methods in Engineering 2009; Available online: http://dx.doi.org/10.1002/nme.2597.
    • (2009) International Journal for Numerical Methods in Engineering
    • Cyron, C.J.1    Arroyo, M.2    Ortiz, M.3
  • 17
    • 77954750335 scopus 로고    scopus 로고
    • Stable meshfree methods in fluid mechanics based on Green's functions
    • DOI: 10.1007/s00466-009-0405-4.
    • Cyron CJ, Nissen K, Gravemeier V, Wall WA. Stable meshfree methods in fluid mechanics based on Green's functions. Computational Mechanics 2010; DOI: 10.1007/s00466-009-0405-4.
    • (2010) Computational Mechanics
    • Cyron, C.J.1    Nissen, K.2    Gravemeier, V.3    Wall, W.A.4
  • 18
    • 33645302778 scopus 로고    scopus 로고
    • Encyclopedia of Computational Mechanics, Volume 1: Fundamentals
    • In, Stein E, de Borst R, Hughes TJR (eds). Wiley: Chichester.
    • Huerta A, Belytschko T, Fernandez-Mendez S, Rabczuk T. Meshfree Methods. In Encyclopedia of Computational Mechanics, Volume 1: Fundamentals, Stein E, de Borst R, Hughes TJR (eds). Wiley: Chichester, 2004; 279-309.
    • (2004) Meshfree Methods , pp. 279-309
    • Huerta, A.1    Belytschko, T.2    Fernandez-Mendez, S.3    Rabczuk, T.4
  • 20
    • 0003423704 scopus 로고    scopus 로고
    • Green's Functions and Boundary Value Problems
    • Wiley: Chichester, U.K..
    • Stakgold I. Green's Functions and Boundary Value Problems. Wiley: Chichester, U.K., 1998.
    • (1998)
    • Stakgold, I.1
  • 23
    • 1842597981 scopus 로고    scopus 로고
    • Finite Element Methods for Flow Problems
    • Wiley: Chichester, U.K..
    • Donea J, Huerta A. Finite Element Methods for Flow Problems. Wiley: Chichester, U.K., 2003.
    • (2003)
    • Donea, J.1    Huerta, A.2
  • 24
    • 0034351657 scopus 로고    scopus 로고
    • On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
    • Franca LP, Valentin F. On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Computer Methods in Applied Mechanics and Engineering 2000; 190:1785-1800.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 1785-1800
    • Franca, L.P.1    Valentin, F.2
  • 25
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • Hughes TJR. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Computer Methods in Applied Mechanics and Engineering 1995; 127:387-401.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 26
    • 0000199487 scopus 로고    scopus 로고
    • Comparison of some finite element methods for solving the diffusion-convection-reaction equation
    • Codina R. Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Computer Methods in Applied Mechanics and Engineering 1998; 156:185-210.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.156 , pp. 185-210
    • Codina, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.