6 papers
Parameter-free inexact block Schur complement preconditioning for linear poroelasticity under a hybrid Bernardi-Raugel and weak Galerkin finite element discretization
Weizhang Huang, Zhuoran Wang
This work investigates inexact block Schur complement preconditioning for linear poroelasticity problems discretized using a hybrid approach: Bernardi-Raugel elements for solid dis…
An inherent regularization approach to parameter-free preconditioning for nearly incompressible linear poroelasticity and elasticity
Weizhang Huang, Zhuoran Wang
An inherent regularization strategy and block Schur complement preconditioning are studied for linear poroelasticity problems discretized using the lowest-order weak Galerkin FEM i…
Efficient parameter-robust preconditioners for linear poroelasticity and elasticity in the primal formulation
Weizhang Huang, Zhuoran Wang
Poroelasticity problems play an important role in various engineering, geophysical, and biological applications. Their full discretization results in a large-scale saddle-point sys…
A general regularization strategy for singular Stokes problems and convergence analysis for corresponding discretization and iterative solution
Weizhang Huang, Zhuoran Wang
A general regularization strategy is considered for the efficient iterative solution of the lowest-order weak Galerkin approximation of singular Stokes problems. The strategy adds…
Consistency enforcement for the iterative solution of weak Galerkin finite element approximation of Stokes flow
Weizhang Huang, Zhuoran Wang
Finite element discretization of Stokes problems can result in singular, inconsistent saddle point linear algebraic systems. This inconsistency can cause many iterative methods to…
Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow
Weizhang Huang, Zhuoran Wang
This work is concerned with the convergence of the iterative solution for the Stokes flow, discretized with the weak Galerkin finite element method and preconditioned using inexact…