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Volumn 49, Issue 11-12, 2005, Pages 1755-1765

A unified treatment of boundary conditions in least-square based finite-volume methods

Author keywords

Finite volume; Least squares reconstruction; Neumann boundary conditions; Robin boundary conditions; Unstructured mesh

Indexed keywords

FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 27544440964     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.10.038     Document Type: Article
Times cited : (14)

References (14)
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    • Convergence rate of a finite volume scheme for a two-dimensional convection-diffusion problem
    • Y. Coudière, J.P. Vila, and P. Villedieu Convergence rate of a finite volume scheme for a two-dimensional convection-diffusion problem Mathematical Modelling and Numerical Analysis 33 3 1999 493 516
    • (1999) Mathematical Modelling and Numerical Analysis , vol.33 , Issue.3 , pp. 493-516
    • Coudière, Y.1    Vila, J.P.2    Villedieu, P.3
  • 4
    • 0039600678 scopus 로고    scopus 로고
    • Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes
    • Y. Coudière, and P. Villedieu Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes M2AN Math. Model. Numer. Anal. 34 6 2000 1123 1149
    • (2000) M2AN Math. Model. Numer. Anal. , vol.34 , Issue.6 , pp. 1123-1149
    • Coudière, Y.1    Villedieu, P.2
  • 5
    • 7544238419 scopus 로고    scopus 로고
    • Least square based finite-volumes for solving the advection-diffusion of contaminants in porous media
    • E. Bertolazzi, and G. Manzini Least square based finite-volumes for solving the advection-diffusion of contaminants in porous media Applied Numerical Mathematics 51 2005 451 461
    • (2005) Applied Numerical Mathematics , vol.51 , pp. 451-461
    • Bertolazzi, E.1    Manzini, G.2
  • 6
    • 0028315726 scopus 로고
    • An implicit upwind algorithm for computing turbulent flows on unstructured grids
    • W.K. Anderson, and D.L. Bonhaus An implicit upwind algorithm for computing turbulent flows on unstructured grids Computers Fluids 23 1 1994 1 21
    • (1994) Computers Fluids , vol.23 , Issue.1 , pp. 1-21
    • Anderson, W.K.1    Bonhaus, D.L.2
  • 7
    • 27544489250 scopus 로고
    • A fast upwind solver for the euler equations on three-dimensional unstructured meshes
    • AIAA-91-0102, AIAA N.T. Frink, P. Parikh, and S. Pirzadeh A fast upwind solver for the euler equations on three-dimensional unstructured meshes Computational Fluid Dynamic Conference 1991 1 6
    • (1991) Computational Fluid Dynamic Conference , pp. 1-6
    • Frink, N.T.1    Parikh, P.2    Pirzadeh, S.3
  • 8
    • 0013074092 scopus 로고
    • Recent progress toward a three-dimensional unstructured Navier-Stokes solver
    • AIAA-94-0061, AIAA N.T. Frink Recent progress toward a three-dimensional unstructured Navier-Stokes solver Thirty-second Aerospace Sciences Meeting 1994 1 20
    • (1994) Thirty-second Aerospace Sciences Meeting , pp. 1-20
    • Frink, N.T.1
  • 10
    • 2342589497 scopus 로고    scopus 로고
    • Limiting strategies for polynomial reconstructions in finite volume approximations of the linear advection equation
    • E. Bertolazzi, and G. Manzini Limiting strategies for polynomial reconstructions in finite volume approximations of the linear advection equation Applied Numerical Mathematics 49 3-4 2004 277 289
    • (2004) Applied Numerical Mathematics , vol.49 , Issue.34 , pp. 277-289
    • Bertolazzi, E.1    Manzini, G.2
  • 11
    • 7444241416 scopus 로고    scopus 로고
    • A cell-centered second-order accurate finite-volume method for convection-diffusion problems on unstructured meshes
    • E. Bertolazzi, and G. Manzini A cell-centered second-order accurate finite-volume method for convection-diffusion problems on unstructured meshes Mathematical Models & Methods in Applied Sciences 14 8 2004 1235 1260
    • (2004) Mathematical Models & Methods in Applied Sciences , vol.14 , Issue.8 , pp. 1235-1260
    • Bertolazzi, E.1    Manzini, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.