The transportation of substances in the interstitial space (ISS) is crucial for the maintenance
of brain homeostasis, however its link to neuronal activity remains unclear. Here, we report a …

In searching for the drainage route of the interstitial fluid (ISF) in the deep brain, we discovered
a regionalized ISF drainage system as well as a new function of myelin in regulating the …

In this paper, the superconvergence analysis of the nonconforming quadrilateral linear-constant
scheme for Stokes Equations is discussed. The superclose property is proven for …

In this paper, we derive recovery type superconvergence analysis and a posteriori error
estimates for the finite element approximation of the distributed optimal control governed by …

The integrity of myelination is crucial for maintaining brain interstitial fluid (ISF) drainage in
adults; however, the mechanism of ISF drainage with immature myelin in the developing brain …

In this paper, the global superconvergence analysis for the finite element approximation of
the distributed optimal control governed by Stokes equations is discussed. For the control, a …

In the paper, we derive a posteriori error estimates of a discontinuous Galerkin (DG) finite
element method for optimal control problems governed by the transport equation. We use …

The five-equation model is widely used to simulate compressible multi-material flows.
However, disunity and anomalous phenomena exist in both the model and corresponding …

In this paper a priori error analysis for time-stepping discontinuous Galerkin finite element
approximation of optimal control problem governed by time fractional diffusion equation is …

In this paper we consider the finite element approximation of the Stokes eigenvalue problems
based on projection method, and derive some superconvergence results and the related …