A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model
暂无分享,去创建一个
[1] M. Biot,et al. THE ELASTIC COEFFICIENTS OF THE THEORY OF CONSOLIDATION , 1957 .
[2] Béatrice Rivière,et al. Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation , 2008, Frontiers in applied mathematics.
[3] Mary F. Wheeler,et al. Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity , 2003, Numerische Mathematik.
[4] M. Wheeler,et al. A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity , 2008 .
[5] M. N. Vrahatis,et al. Ordinary Differential Equations In Theory and Practice , 1997, IEEE Computational Science and Engineering.
[6] Andrea Toselli,et al. Mixed hp-DGFEM for Incompressible Flows , 2002, SIAM J. Numer. Anal..
[7] Susanne C. Brenner,et al. Korn's inequalities for piecewise H1 vector fields , 2003, Math. Comput..
[8] J. Kraus,et al. Parameter-robust stability of classical three-field formulation of Biot's consolidation model , 2017, 1706.00724.
[9] M. Fortin,et al. Mixed Finite Element Methods and Applications , 2013 .
[10] P. Hansbo,et al. CHALMERS FINITE ELEMENT CENTER Preprint 2000-06 Discontinuous Galerkin Methods for Incompressible and Nearly Incompressible Elasticity by Nitsche ’ s Method , 2007 .
[11] Son-Young Yi. A coupling of nonconforming and mixed finite element methods for Biot's consolidation model , 2013 .
[12] Son-Young Yi. Convergence analysis of a new mixed finite element method for Biot's consolidation model , 2014 .
[13] Douglas N. Arnold,et al. Quadrilateral H(div) Finite Elements , 2004, SIAM J. Numer. Anal..
[14] M. Biot. General Theory of Three‐Dimensional Consolidation , 1941 .
[15] L E Plansky. On the management organization and procedural standardization of geologic research , 1985 .
[16] S. I. Barry,et al. Exact Solutions for Two-Dimensional Time-Dependent Flow and Deformation Within a Poroelastic Medium , 1999 .
[17] D. Arnold. An Interior Penalty Finite Element Method with Discontinuous Elements , 1982 .
[18] Ricardo Ruiz-Baier,et al. Locking-Free Finite Element Methods for Poroelasticity , 2016, SIAM J. Numer. Anal..
[19] Mary F. Wheeler,et al. A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case , 2007 .
[20] R. Showalter. Poro-plastic filtration coupled to Stokes flow , 2005 .
[21] David Wells,et al. The deal.II Library, Version 8.4 , 2016, J. Num. Math..
[22] Abimael F. D. Loula,et al. On stability and convergence of finite element approximations of biot's consolidation problem , 1994 .