Robust finite element methods for Biot’s consolidation model
نویسنده
چکیده
We propose new locking-free finite element methods for Biot’s consolidation model by coupling nonconforming and mixed finite elements. We show a priori error estimates of semidiscrete and fully discrete solutions. The main advantage of our method is that a uniform-in-time pressure error estimate is provided with an analytic proof. In our error analysis, we do not use Grönwall’s inequality, so the exponential growing factors in time do not appear in the error bounds.
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