UNIFORMLY-STABLE FINITE ELEMENT METHODS FOR DARCY-STOKES-BRINKMAN MODELS
By Xiaoping Xie, Jinchao Xu, Guangri Xue, Junzhi Cui, X. Xie, XU J.C., G. Xue. 2008
158 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/1aa60fe7f50bd9ccb9f83704a35d652a6047ee65
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Citations in the corpus
- Convergence of a family of Galerkin discretizations for the Stokes–Darcy coupled problem (2011, unknown): “[3], [7], [8], [9], [10], [11], [14], [16], [17], [20], [21] and the references therein).”
- Topology optimisation for natural convection problems (2014, background): “Although it has been reported [62, 63] that stable spaces and optimal stabilisation methods for the Darcy and (Navier-)Stokes equations differ, this has not been observed to be an issue with the described stabilisation formulation and only PSPG and SUPG has been used.”
- Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations (2016, methodology): “For stable and locally divergence-free Stokes elements of nonconforming types, we refer to [32] for the Crouzeix-Raviart element method with piecewise constant approximation for the pressure, and to [50, 60, 67] for finite element approximations based on modifying H(div)-conforming elements on gener”
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows (2015, methodology): “Another class of H(div,Ω)-conforming methods for the Stokes problem modifies the Raviart– Thomas and BDM spaces locally with divergence-free vector fields such that the resulting spaces possess weak tangential continuity [32, 47, 61, 66].”
- A family of nonconforming elements for the Brinkman problem (2012, methodology): “, subsurface flow problems [16, 31], heat & mass transfer in pipes [24, 28], liquid composite molding [21], the behavior and influence of osteonal structures [30], and computational fuel cell dynamics [39].”