Splitting scheme for poroelasticity and thermoelasticity problems

DOI10.1134/S0965542514080132zbMath1313.74033WikidataQ57694548 ScholiaQ57694548MaRDI QIDQ2940527

Aleksandr E. Kolesov, M. V. Vasil'eva, Petr N. Vabishchevich

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

finite element methodsplitting techniquethermoelasticity problemsporoelasticity problems

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Multiphysics finite element method for quasi-static thermo-poroelasticity ⋮ Splitting schemes with respect to physical processes for double-porosity poroelasticity problems ⋮ Partial learning using partially explicit discretization for multicontinuum/multiscale problems. Fractured poroelastic media simulation ⋮ Generalized multiscale finite element method for thermoporoelasticity problems in heterogeneous and fractured media ⋮ Numerical Solution of Thermoporoelasticity Problems

Uses Software

• FEAPpv

Cites Work

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• Convergence of iterative coupling for coupled flow and geomechanics
• A comparison of adaptive time stepping methods for coupled flow and deformation modeling
• An efficient multigrid solver for a reformulated version of the poroelasticity system
• Improved accuracy in finite element analysis of Biot's consolidation problem
• Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices
• A finite difference analysis of Biot's consolidation model
• Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
• Operator-splitting Schemes for Solving Unsteady Elasticity Problems
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
• Mathematical Models for Poroelastic Flows
• Regularization of difference schemes

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