Elastic wave propagation in fluid-saturated porous media. II. The Galerkin procedures. (English) Zbl 0616.76105

[For part I see the review above (Zbl 0616.76104).]
The error analysis concerning the continuous and discrete-time Galerkin method is performed, in order to approximate the solution of Biot’s equations describing elastic wave propagation in a bounded saturated porous medium. To obtain this estimates, the method of mixed finite elements is used.
Reviewer: G.Pasa


76S05 Flows in porous media; filtration; seepage
76M99 Basic methods in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76T99 Multiphase and multicomponent flows
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)


Zbl 0616.76104
Full Text: DOI EuDML


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