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Volumn 35, Issue 2, 1998, Pages 435-452

A two-grid finite difference scheme for nonlinear parabolic equations

Author keywords

Error estimates; Finite differences; Mixed finite elements; Nonlinear; Superconvergent

Indexed keywords


EID: 0001430079     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995293493     Document Type: Article
Times cited : (208)

References (11)
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    • Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
    • T. ARBOGAST, M. F. WHEELER, AND I. YOTOV, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. Numer. Anal., 34 (1997), pp. 828-852.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 828-852
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 4
    • 0038673842 scopus 로고
    • Two-grid methods for mixed finite element approximations of nonlinear parabolic equations
    • C. N. DAWSON AND M. F. WHEELER, Two-grid methods for mixed finite element approximations of nonlinear parabolic equations, Contemp. Math., 180 (1994), pp. 191-203.
    • (1994) Contemp. Math. , vol.180 , pp. 191-203
    • Dawson, C.N.1    Wheeler, M.F.2
  • 5
    • 0041180232 scopus 로고
    • Superconvergence for rectangular mixed finite elements
    • R. G. DURÁN, Superconvergence for rectangular mixed finite elements, Numer. Math., 58 (1990), pp. 287-298.
    • (1990) Numer. Math. , vol.58 , pp. 287-298
    • Durán, R.G.1
  • 8
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • I. Galligani and E. Magenes, eds., Springer-Verlag, Berlin
    • P. A. RAVIART AND J. M. THOMAS, A mixed finite element method for second order elliptic problems, in Mathematical Aspects of Finite Element Methods: Lecture Notes in Mathematics 606, I. Galligani and E. Magenes, eds., Springer-Verlag, Berlin, 1977, pp. 292-315.
    • (1977) Mathematical Aspects of Finite Element Methods: Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, P.A.1    Thomas, J.M.2
  • 9
    • 0001669414 scopus 로고
    • On convergence of block-centered finite differences for elliptic problems
    • A. WEISER AND M. WHEELER, On convergence of block-centered finite differences for elliptic problems, SIAM J. Numer. Anal., 25 (1988), pp. 351-357.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 351-357
    • Weiser, A.1    Wheeler, M.2
  • 10
    • 0000314168 scopus 로고
    • A novel two-grid method for semilinear elliptic equations
    • J. Xu, A novel two-grid method for semilinear elliptic equations, SIAM J. Sci. Comput., 15 (1994), pp. 231-237.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 231-237
    • Xu, J.1
  • 11
    • 0001547745 scopus 로고    scopus 로고
    • Two-grid discretization techniques for linear and nonlinear PDEs
    • J. Xu, Two-grid discretization techniques for linear and nonlinear PDEs, SIAM J. Numer. Anal., 33 (1996), pp. 1759-1777.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1759-1777
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.