A four-field mixed finite element method for Biot's consolidation problems
نویسندگان
چکیده
<p style='text-indent:20px;'>This article presents a four-field mixed finite element method for Biot's consolidation problems, where the four fields include displacement, total stress, flux and pressure porous medium component of modeling system. The involving Raviart-Thomas is used fluid flow equation, while Crank-Nicolson scheme employed time discretization. main contribution this work derivation optimal order error estimates semi-discrete fully-discrete schemes unknowns in energy norm or <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula> norm. Numerical experiments are presented to validate theoretical results.</p>
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ژورنال
عنوان ژورنال: Electronic research archive
سال: 2021
ISSN: ['2688-1594']
DOI: https://doi.org/10.3934/era.2020127