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Analysis of a discontinuous Galerkin method for the Biot’s consolidation problem.
- Source :
-
Applied Mathematics & Computation . May2013, Vol. 219 Issue 17, p9043-9056. 14p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper, a fully discrete stabilized discontinuous Galerkin method is proposed to solve the Biot’s consolidation problem. The existence and uniqueness of the finite element solution are obtained. The stability of the fully discrete solution is discussed. The corresponding error estimates for the approximation of displacement and pressure in a mesh dependent norm are obtained. The error estimate for the approximation of pressure in norm is also obtained. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 219
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 89087243
- Full Text :
- https://doi.org/10.1016/j.amc.2013.03.104