120 citations · 477 across the 22 of their papers we have counts for
9 papers · 2 filters
A priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting
Yerlan Amanbek, Mary Wheeler
Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical conv…
Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems
Qingguo Hong, Johannes Kraus, Maria Lymbery +1
We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, sometimes also refe…
The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered solution algorithm to coupled flow and deformation in heterogeneous poroelastic media
Saumik Dana, Mary F Wheeler
We perform a convergence analysis of a two-grid staggered solution algorithm for the Biot system modeling coupled flow and deformation in heterogeneous poroelastic media. The algor…
Convergence analysis of fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity: a primer
Saumik Dana, Mary F. Wheeler
This work serves as a primer to our efforts in arriving at convergence estimates for the fixed stress split iterative scheme for single phase flow coupled with small strain anisotr…
Nonlinear nonlocal multicontinua upscaling framework and its applications
Wing T. Leung, Eric T. Chung, Yalchin Efendiev +1
In this paper, we discuss multiscale methods for nonlinear problems. The main idea of these approaches is to use local constraints and solve problems in oversampled regions for con…
Augmented Lagrangian for treatment of hanging nodes in hexahedral meshes
Saumik Dana
The surge of activity in the resolution of fine scale features in the field of earth sciences over the past decade necessitates the development of robust yet simple algorithms that…
A Domain Decomposition Approach for Local Mesh Refinement in Space and Time
Gurpreet Singh, Mary F. Wheeler
We present an adaptive space-time mesh refinement approach based a domain decomposition approach (Singh and Wheeler, 2018) that allows different time-step sizes and mesh refinement…
Multiscale Methods for Model Order Reduction of Non Linear Multiphase Flow Problems
Gurpreet Singh, Wingtat Leung, Mary F. Wheeler
Numerical simulations for flow and transport in subsurface porous media often prove computationally prohibitive due to property data availability at multiple spatial scales that ca…
A Space Time Domain Decomposition Approach using Enhanced Velocity Mixed Finite Element Method
Gurpreet Singh, Mary F. Wheeler
A space-time domain decomposition approach is presented as a natural extension of the enhanced velocity mixed finite element (EVMFE) [Wheeler et. al] for spatial domain decompositi…