A finite difference analysis of Biot's consolidation model

Abstract

In this paper, stability estimates and convergence analysis of finite difference methods for the Biot's consolidation model are presented. Initially central differences for space discretization and a weighed two-level time scheme are analyzed. To improve some stability and convergence limitations for this scheme we also consider space discretizations on MAC type grids (staggered grids). Numerical results are given to illustrate the obtained theoretical results.