메뉴 건너뛰기




Volumn 167, Issue 2, 2001, Pages 372-392

On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution

Author keywords

Adaptivity; Equidistribution; Moving meshes

Indexed keywords

FINITE DIFFERENCE METHOD; MESH GENERATION; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0001689357     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6679     Document Type: Article
Times cited : (66)

References (20)
  • 2
    • 85160594454 scopus 로고    scopus 로고
    • On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
    • in press
    • G. Beckett, and, J. A. Mackenzie, On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution, J. Comput. Appl. Math, in press.
    • J. Comput. Appl. Math
    • Beckett, G.1    Mackenzie, J.A.2
  • 3
    • 0034300742 scopus 로고    scopus 로고
    • Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
    • Beckett G., Mackenzie J. A. Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem. Appl. Numer. Math. 35:2000;109.
    • (2000) Appl. Numer. Math. , vol.35 , pp. 109
    • Beckett, G.1    Mackenzie, J.A.2
  • 5
    • 0000984027 scopus 로고
    • On simple moving grid methods for one-dimensional evolutionary partial differential equations
    • Blom J. G., Sanz-Serna J. M., Verwer J. G. On simple moving grid methods for one-dimensional evolutionary partial differential equations. J. Comput. Phys. 74:1988;191.
    • (1988) J. Comput. Phys. , vol.74 , pp. 191
    • Blom, J.G.1    Sanz-Serna, J.M.2    Verwer, J.G.3
  • 6
    • 0005688324 scopus 로고    scopus 로고
    • A moving mesh method in multiblock domains with application to a combustion problem
    • Cao W., Huang W., Russell R. D. A moving mesh method in multiblock domains with application to a combustion problem. Numer. Meth. Partial Differential Equations. 15:1999;449.
    • (1999) Numer. Meth. Partial Differential Equations , vol.15 , pp. 449
    • Cao, W.1    Huang, W.2    Russell, R.D.3
  • 7
    • 0000664743 scopus 로고
    • Review of some adaptive node-movement techniques in finite element and finite difference solutions of PDEs
    • Hawken D. F., Gottlieb J. J., Hansen J. S. Review of some adaptive node-movement techniques in finite element and finite difference solutions of PDEs. J. Comput. Phys. 95:1991;254.
    • (1991) J. Comput. Phys , vol.95 , pp. 254
    • Hawken, D.F.1    Gottlieb, J.J.2    Hansen, J.S.3
  • 9
    • 0028446372 scopus 로고
    • Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle
    • Huang W., Ren Y., Russell R. D. Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle. SIAM J. Numer. Anal. 31:1994;709.
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 709
    • Huang, W.1    Ren, Y.2    Russell, R.D.3
  • 10
    • 0000105971 scopus 로고
    • Moving mesh methods based on moving mesh partial differential equations
    • Huang W., Ren Y., Russell R. D. Moving mesh methods based on moving mesh partial differential equations. J. Comput. Phys. 113:1994;279.
    • (1994) J. Comput. Phys , vol.113 , pp. 279
    • Huang, W.1    Ren, Y.2    Russell, R.D.3
  • 11
    • 0030081518 scopus 로고    scopus 로고
    • A moving collocation method for the numerical solution of time dependent differential equations
    • Huang W., Russell R. D. A moving collocation method for the numerical solution of time dependent differential equations. Appl. Numer. Math. 20:1996;101.
    • (1996) Appl. Numer. Math , vol.20 , pp. 101
    • Huang, W.1    Russell, R.D.2
  • 12
    • 0031644105 scopus 로고    scopus 로고
    • A high dimensional moving mesh strategy
    • Huang W., Russell R. D. A high dimensional moving mesh strategy. Appl. Numer. Math. 26:1997;63.
    • (1997) Appl. Numer. Math , vol.26 , pp. 63
    • Huang, W.1    Russell, R.D.2
  • 13
    • 0032226429 scopus 로고    scopus 로고
    • Moving mesh strategy based on a gradient flow equation for two-dimensional problems
    • Huang W., Russell R. D. Moving mesh strategy based on a gradient flow equation for two-dimensional problems. SIAM J. Sci. Comput. 20:1999;998.
    • (1999) SIAM J. Sci. Comput , vol.20 , pp. 998
    • Huang, W.1    Russell, R.D.2
  • 18
    • 0000123829 scopus 로고    scopus 로고
    • Solution of evolutionary partial differential equations using adaptive finite differences with pseudospectral post-processing
    • Mulholland L. S., Qiu Y., Sloan D. M. Solution of evolutionary partial differential equations using adaptive finite differences with pseudospectral post-processing. J. Comput. Phys. 131:1997;280.
    • (1997) J. Comput. Phys , vol.131 , pp. 280
    • Mulholland, L.S.1    Qiu, Y.2    Sloan, D.M.3
  • 20
    • 0001319952 scopus 로고
    • An adaptive moving grid method for one-dimensional systems of PDEs
    • Verwer J. G., Blom J. G. An adaptive moving grid method for one-dimensional systems of PDEs. J. Comput. Phys. 82:1989;454.
    • (1989) J. Comput. Phys , vol.82 , pp. 454
    • Verwer, J.G.1    Blom, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.