Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis Academic Article uri icon

abstract

  • A finite difference technique on rectangular cell-centered grids with local refinement is proposed in order to derive discretizations of second-order elliptic equations of divergence type approximating the so-called balance equation. Error estimates in a discrete H1- norm are derived of order h1/2for a simple symmetric scheme, and of order h ' for both a nonsymmetric and a more accurate symmetric one, provided that the solution belongs to H1 +αfor a > 1/2 and a > 3/2, respectively. © 1991 American Mathematical Society.

author list (cited authors)

  • Ewing, R. E., Lazarov, R. D., & Vassilevski, P. S.

publication date

  • January 1, 1991 11:11 AM