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Original Articles

Discretely Compact Embeddings of Spaces of Cell-Centered Grid Functions

Pages 491-506 | Published online: 04 Jun 2008

REFERENCES

  • R.A. Adams ( 1975 ). Soboliev Spaces . Academic Press , New York .
  • S. Agmon ( 1965 ). Lectures on Elliptic Boundary Value Problems . Van Nostrand Mathematical Studies . Van Nostrand, New York .
  • S. Barbeiro ( 2007 ). Supraconvergent cell-centered scheme for two dimensional elliptic problems . Appl. num. Math. (in press) .
  • J.A. Ferreira ( 1997 ). On the convergence on nonrectangular grids . J. Comp. Appl. Math. 85 : 333 – 344 .
  • J.A. Ferreira and R.D. Grigorieff ( 1998 ). On the supraconvergence of elliptic finite difference schemes . Appl. Num. Math. 28 : 275 – 292 .
  • J.A. Ferreira and R.D. Grigorieff ( 2006 ). Supraconvergence and supercloseness of a scheme for elliptic equations on non-uniform grids . Numer. Funct. Anal. Optim. 27 ( 5–6 ): 539 – 564 .
  • R.D. Grigorieff ( 1972 ). Diskret kompakte Einbettungen in Sobolewschen Räumen . Math. Ann. 197 : 71 – 85 .
  • R.D. Grigorieff (1981/1982 ). Zur diskreten Kompaktheit von Funktionen auf nichtäquidistanten Gittern in ℝ . Numer. Funct. Anal. Optim. 4 : 383 – 395 .
  • R.D. Grigorieff ( 1988 ). Some stability inequalities for compact finite difference schemes . Math. Nachr. 135 : 93 – 101 .
  • H.J. Reinhardt ( 1985 ). Analysis of Approximation Methods for Differential and Integral Equations . Applied Mathematical Sciences 57 . Springer , New York .
  • F. Stummel ( 1970 ). Diskrete konvergenz linearer Operatoren . I. Math. Ann. 190 : 45 – 92 .
  • F. Stummel ( 1972 ). Discrete Convergence of Mappings . Topics in Numerical Analysis . Academic Press , London , pp. 285 – 310 .
  • J. Wloka ( 1987 ). Partial Differential Equations . Cambridge University Press , Cambridge .

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