메뉴 건너뛰기




Volumn 46, Issue 11, 1999, Pages 1933-1953

Anisotropic mesh refinement for problems with internal and boundary layers

Author keywords

Anisotropic mesh refinement; Convection diffusion problems; Internal and boundary layers; Layer fitted meshes; Stabilized finite element methods

Indexed keywords

MATHEMATICAL ANALYSIS;

EID: 0033590178     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19991220)46:11<1933::AID-NME800>3.0.CO;2-7     Document Type: Article
Times cited : (10)

References (29)
  • 2
    • 0001165448 scopus 로고
    • Numerical solution of second-order elliptic equations on plane domains
    • 2 AN 1991; 25(2):169-191.
    • (1991) 2 AN , vol.25 , Issue.2 , pp. 169-191
    • Angermann, L.1
  • 4
    • 0001854829 scopus 로고
    • A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems
    • Hegarty AF, O'Riordan E, Stynes M. A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems. Journal of Computational Physics 1993; 105:24-32.
    • (1993) Journal of Computational Physics , vol.105 , pp. 24-32
    • Hegarty, A.F.1    O'Riordan, E.2    Stynes, M.3
  • 5
    • 0013724411 scopus 로고
    • A multi-dimensional upwind scheme with no crosswind diffusion
    • Hughes TJR (ed.). ASME: New York
    • Hughes TJ, Brooks A. A multi-dimensional upwind scheme with no crosswind diffusion. In Finite Element Method for Convection Dominated Flows, AMD - vol. 34, Hughes TJR (ed.). ASME: New York, 1979; 19-35.
    • (1979) Finite Element Method for Convection Dominated Flows , vol.34 , pp. 19-35
    • Hughes, T.J.1    Brooks, A.2
  • 6
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
    • Hughes TJR, Franca LP, Hulbert GM. A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations. Computer Methods in Applied Mechanics and Engineering 1989; 73:173-189.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 7
    • 0001238824 scopus 로고
    • On the optimization of methods for solving boundary value problems with boundary layers
    • in Russian
    • Bakhvalov AS. On the optimization of methods for solving boundary value problems with boundary layers. Zhurnal Vychishtel noi Matematikii Matematicheskoi Fiziki 1969; 9:841-859 (in Russian).
    • (1969) Zhurnal Vychishtel noi Matematikii Matematicheskoi Fiziki , vol.9 , pp. 841-859
    • Bakhvalov, A.S.1
  • 9
    • 0002694978 scopus 로고
    • Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
    • Hegarty AF, Miller JJH, O'Riordan E, Shishkin GI. Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers. Journal of Computational Physics 1995; 117:47-54.
    • (1995) Journal of Computational Physics , vol.117 , pp. 47-54
    • Hegarty, A.F.1    Miller, J.J.H.2    O'Riordan, E.3    Shishkin, G.I.4
  • 11
    • 0001829437 scopus 로고
    • On adaptive grid refinement in the presence of internal or boundary layers
    • Kornhuber R, Roitzsch R. On adaptive grid refinement in the presence of internal or boundary layers. Impact Computer Science Engineering 1990; 2:40-72.
    • (1990) Impact Computer Science Engineering , vol.2 , pp. 40-72
    • Kornhuber, R.1    Roitzsch, R.2
  • 14
    • 0003637304 scopus 로고    scopus 로고
    • Multifields modeling in numerical simulation of partial differential equations
    • Quarteroni A. Multifields modeling in numerical simulation of partial differential equations. GAMM-Mitteilungen 1996; 19(1):45-63.
    • (1996) GAMM-Mitteilungen , vol.19 , Issue.1 , pp. 45-63
    • Quarteroni, A.1
  • 15
    • 0343046531 scopus 로고
    • Zonal solutions for viscous flow problems
    • Mirschel EH (ed.). Braunschweig: Vieweg
    • Hirschel EH, Schmatz MA. Zonal solutions for viscous flow problems. In Notes on Numerical Fluid Mechanics, vol. 14, Mirschel EH (ed.). Braunschweig: Vieweg, 1986; 118-131.
    • (1986) Notes on Numerical Fluid Mechanics , vol.14 , pp. 118-131
    • Hirschel, E.H.1    Schmatz, M.A.2
  • 17
    • 0026626564 scopus 로고
    • Anisotropic interpolation with applications to the finite element method
    • Apel T, Dobrowolski M. Anisotropic interpolation with applications to the finite element method. Computing 1992; 47:277-293.
    • (1992) Computing , vol.47 , pp. 277-293
    • Apel, T.1    Dobrowolski, M.2
  • 20
    • 0029487171 scopus 로고
    • Tetrahedral grid refinement
    • Bey J. Tetrahedral grid refinement. Computing 1995; 55:355-378.
    • (1995) Computing , vol.55 , pp. 355-378
    • Bey, J.1
  • 21
    • 0002641609 scopus 로고
    • Refinement algorithms and data structures for regular local mesh refinement
    • Stepleman R et al. (eds). IMACS/North-Holland: Amsterdam
    • Bank RE, Sherman AH, Weiser A. Refinement algorithms and data structures for regular local mesh refinement. In Scientific Computing, Stepleman R et al. (eds). IMACS/North-Holland: Amsterdam, 1983; 3-17.
    • (1983) Scientific Computing , pp. 3-17
    • Bank, R.E.1    Sherman, A.H.2    Weiser, A.3
  • 22
    • 0030503035 scopus 로고    scopus 로고
    • Anisotropic mesh refinement in stabilized Galerkin methods
    • Apel T, Lube G. Anisotropic mesh refinement in stabilized Galerkin methods. Numerische Mathematik 1996; 74: 261-282.
    • (1996) Numerische Mathematik , vol.74 , pp. 261-282
    • Apel, T.1    Lube, G.2
  • 23
    • 0032045072 scopus 로고    scopus 로고
    • Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem
    • Apel T, Lube G. Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem. Applied Numerical Mathematics 1998; 26:415-433.
    • (1998) Applied Numerical Mathematics , vol.26 , pp. 415-433
    • Apel, T.1    Lube, G.2
  • 28
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks AN, 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.N.1    Hughes, T.J.R.2
  • 29
    • 0000667216 scopus 로고    scopus 로고
    • Uniform convergence of discretization error for a singular perturbation problem
    • Wesseling P. Uniform convergence of discretization error for a singular perturbation problem. Numerical Methods in Partial Differential Equations 1996; 12:657-671.
    • (1996) Numerical Methods in Partial Differential Equations , vol.12 , pp. 657-671
    • Wesseling, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.