Robust estimates for the approximation of the dynamic consolidation problem
نویسندگان
چکیده
We consider stable discretizations in time and space for the linear dynamic consolidation problem describing the wave propagation in a porous solid skeleton which is fully saturated with an incompressible uid. Introducing the hydrostatic pressure, the ow problem is described by Darcy's law. In particular, we discuss the case of nearly impermeable solids which requires inf-sup stable discretizations in space for the limiting saddle point problem. Together with an (implicit) Newmark discretization in time we derive convergence estimates for the fully discrete scheme which are robust with respect to the coupling parameter of uid and solid.
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