Geodesic
The existence and uniqueness theorem in Biot's consolidation theory
Applications of Mathematics, Tome 29 (1984) no. 3, pp. 194-211
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Existence and uniqueness theorem is established for a variational problem including Biot's model of consolidation of clay. The proof of existence is constructive and uses the compactness method. Error estimates for the approximate solution obtained by a method combining finite elements and Euler's backward method are given.
Existence and uniqueness theorem is established for a variational problem including Biot's model of consolidation of clay. The proof of existence is constructive and uses the compactness method. Error estimates for the approximate solution obtained by a method combining finite elements and Euler's backward method are given.
DOI : 10.21136/AM.1984.104085
Classification : 35A05, 35A15, 35A35, 35G05, 65N30, 73Q05
Keywords: Existence; uniqueness; variational problem; Biot’s model; compactness method; approximate solution; finite elements; Euler’s backward method 
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Ženíšek, Alexander. The existence and uniqueness theorem in Biot's consolidation theory. Applications of Mathematics, Tome 29 (1984) no. 3, pp. 194-211. doi: 10.21136/AM.1984.104085

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