128 citations · 346 across the 59 of their papers we have counts for
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math.NA2019★ 12 cited
Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model
Yuwen Li, Ludmil T. Zikatanov
We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot's consolidation model. The error estimator is an uppe…
math.NA2019
Robust preconditioners for a new stabilized discretization of the poroelastic equations
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu +3
In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [45]. The discretization is proved to be well-posed with r…
math.NA2019★ 5 cited
Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations
Chunmei Wang, Ludmil Zikatanov
We propose a numerical method for convection-diffusion problems under low regularity assumptions. We derive the method and analyze it using the primal-dual weak Galerkin (PDWG) fin…