Yekaterina Epshteyn

On the Stolz--Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows

We consider a family of large-eddy simulation (LES) models with an arbitrarily high consistency error

New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model

O(\delta^{2N+2})

A simple mathematical model of signaling resulting from the binding of lipopolysaccharide with Toll-like receptor 4 demonstrates inherent preconditioning behavior

for

Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model

N = 1,2,3,\ldots

Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model

that are based on the van Cittert deconvolution procedure. This family of models has been proposed and tested for LES with success by Adams and Stolz in a series of papers, e.g., [Deconvolution methods for subgrid-scale approximation in large-eddy simulation, in Modern Simulation Strategies for Turbulent Flow, R. T. Edwards, Philadelphia, 2001, pp. 21-41], [Phys. Fluids, 11 (1999), pp. 1699-1701]. We show that these models have an interesting and quite strong stability property. Using this property we prove an energy equality, existence, uniqueness, and regularity of strong solutions and give a rigorous bound on the modeling error

On the Solution of the Elliptic Interface Problems by Difference Potentials Method

\left\|{ \bf \overline{u}- w }\right\|

Predictive Theory for the Grain Boundary Character Distribution

, where

Numerical solution of a one-dimensional inverse problem by the discontinuous Galerkin method

{\bf w}

Network Modeling of Fluid Transport Through Sea Ice with Entrained Exopolymeric Substances

is the models solution and

High-order numerical methods for 2D parabolic problems in single and composite domains

{\bf \overline u }