Parameter-robust discretization and preconditioning of Biot's consolidation model
Biot's consolidation model in poroelasticity has a number of applications in science,
medicine, and engineering. The model depends on various parameters, and in practical …
medicine, and engineering. The model depends on various parameters, and in practical …
Linear solvers for reservoir simulation problems: An overview and recent developments
Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …
Parameter-robust stability of classical three-field formulation of Biot's consolidation model
This paper is devoted to the stability analysis of a classical three-field formulation of Biot's
consolidation model where the unknown variables are the displacements, fluid flux (Darcy …
consolidation model where the unknown variables are the displacements, fluid flux (Darcy …
Scalable algorithms for three-field mixed finite element coupled poromechanics
We introduce a class of block preconditioners for accelerating the iterative solution of
coupled poromechanics equations based on a three-field formulation. The use of a …
coupled poromechanics equations based on a three-field formulation. The use of a …
Conservative discretizations and parameter‐robust preconditioners for Biot and multiple‐network flux‐based poroelasticity models
The parameters in the governing system of partial differential equations of multiple‐network
poroelasticity models typically vary over several orders of magnitude, making its stable …
poroelasticity models typically vary over several orders of magnitude, making its stable …
[HTML][HTML] Splitting schemes for poroelasticity and thermoelasticity problems
In this work, we consider the coupled systems of linear unsteady partial differential
equations, which arise in the modelling of poroelasticity processes. Stability estimates of …
equations, which arise in the modelling of poroelasticity processes. Stability estimates of …
[HTML][HTML] A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations
In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …
Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
We consider a mixed hybrid finite element formulation for coupled poromechanics. A
stabilization strategy based on a macro-element approach is advanced to eliminate the …
stabilization strategy based on a macro-element approach is advanced to eliminate the …
A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics
Frictional contact is one of the most challenging problems in computational mechanics.
Typically, it is a tough non-linear problem often requiring several Newton iterations to …
Typically, it is a tough non-linear problem often requiring several Newton iterations to …
Weakly imposed symmetry and robust preconditioners for Biot's consolidation model
We discuss the construction of robust preconditioners for finite element approximations of
Biot's consolidation model in poroelasticity. More precisely, we study finite element methods …
Biot's consolidation model in poroelasticity. More precisely, we study finite element methods …