Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot’s Consolidation Problem
Marcio Arab Murad, Vidar Thomée, Abimael F. D. Loula · SIAM Journal on Numerical Analysis · 1996
Error estimates for spatially discrete Galerkin finite-element approximations of Biot’s model for consolidation of saturated porous media are presented. The short- and long-time behaviors of such approximations based on both stable and unstable combinations of finite-element spaces of displacement and pore pressure fields are discussed.