Stabilized finite elements for harmonic soil dynamics problems near the undrained-incompressible limit

[1]  M. Biot.  General Theory of Three‐Dimensional Consolidation , 1941 .

[2]  M. Biot.  THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID , 1955 .

[3]  I. Babuska.  The finite element method with Lagrangian multipliers , 1973 .

[4]  F. Brezzi.  On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .

[5]  A. Majda,et al.  Radiation boundary conditions for acoustic and elastic wave calculations , 1979 .

[6]  Anil K. Chopra,et al.  Two‐dimensional dynamic analysis of concrete gravity and embankment dams including hydrodynamic effects , 1982 .

[7]  O. Zienkiewicz,et al.  Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution , 1984 .

[8]  F. Wubs.  Notes on numerical fluid mechanics , 1985 .

[9]  Robert L. Taylor,et al.  The patch test for mixed formulations , 1986 .

[10]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of , 1986 .

[11]  Eduardo Kausel,et al.  Local transmitting boundaries , 1988 .

[12]  J. Keller,et al.  Exact non-reflecting boundary conditions , 1989 .

[13]  D. Malkus,et al.  Mixed finite element methods—reduced and selective integration techniques: a unification of concepts , 1990 .

[14]  A. Ledesma,et al.  Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  Prasanta Kumar Banerjee,et al.  Advanced geotechnical analyses , 1991 .

[16]  D. Givoli.  Non-reflecting boundary conditions , 1991 .

[17]  M. Hafez,et al.  Incompressible Computational Fluid Dynamics: Numerical Solution of the Incompressible Navier-Stokes Equations in Primitive Variables on Unstaggered Grids , 1991 .

[18]  O. C. Zienkiewicz,et al.  Incompressibility without tears—HOW to avoid restrictions of mixed formulation , 1991 .

[19]  Maosong Huang,et al.  A New Algorithm for the Coupled Soil–Pore Fluid Problem , 1993 .

[20]  H. Modaressi,et al.  Paraxial approximation for poroelastic media , 1994 .

[21]  O. C. Zienkiewicz,et al.  Localization problems in plasticity using finite elements with adaptive remeshing , 1995 .

[22]  K. Fuchida,et al.  General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media , 1998 .