Von Neumann stability analysis of Biot's general two-dimensional theory of consolidation

DOI<955::AID-NME452>3.0.CO;2-Y 10.1002/(SICI)1097-0207(19981115)43:5<955::AID-NME452>3.0.CO;2-YzbMath0940.76035OpenAlexW1988597835MaRDI QIDQ4253892

Francis E. Kennedy, Keith D. Paulsen, Michael I. Miga

Publication date: 19 July 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19981115)43:5<955::aid-nme452>3.0.co;2-y

zbMATH Keywords

time factorvon Neumann stability analysissaturated mediaBiot's consolidation equationsGalerkin finite element formulationunsaturated mediabiphasic tissue mechanicstime-integration weightingtwo-dimensional bilinear elementsvoid factor

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (4)

Tikhonov, Ivanov and Morozov regularization for support vector machine learning ⋮ Von Neumann stability analysis of the \(u-p\) reproducing kernel formulation for saturated porous media ⋮ Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits ⋮ Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits

Cites Work

• Unnamed Item
• Improved accuracy in finite element analysis of Biot's consolidation problem
• An investigation of the stability of numerical solutions of Biot's equations of consolidation
• A numerical solution of the Navier-Stokes equations using the finite element technique
• On stability and convergence of finite element approximations of Biot's consolidation problem

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