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

MSC:

 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
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References:

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