Eleanor W. Jenkins

On the parameter choice in grad-div stabilization for the Stokes equations

Abstract Standard error analysis for grad-div stabilization of inf-sup stable conforming pairs of finite element spaces predicts that the stabilization parameter should be optimally chosen to be 𝒪(1)

Approximation of the Stokes---Darcy System by Optimization

\mathcal O(1)

A fractional step θ-method approximation of time-dependent viscoelastic fluid flow

. This paper revisits this choice for the Stokes equations on the basis of minimizing the H1(Ω)

Versatile Two-Level Schwarz Preconditioners for Multiphase Flow

H^{1}(\Omega )

A decision making framework with MODFLOW-FMP2 via optimization

error of the velocity and the L2(Ω)

A domain decomposition method for the Oseen-viscoelastic flow equations ☆

L^{2}(\Omega )

Design Analysis of Polymer Filtration using a Multi‐Objective Genetic Algorithm

error of the pressure. It turns out, by applying a refined error analysis, that the optimal parameter choice is more subtle than known so far in the literature. It depends on the used norm, the solution, the family of finite element spaces, and the type of mesh. In particular, the approximation property of the pointwise divergence-free subspace plays a key role. With such an optimal approximation property and with an appropriate choice of the stabilization parameter, estimates for the H1(Ω)

Analysis of model parameters for a polymer filtration simulator

H^{1}(\Omega )

Stabilized approximation to degenerate transport equations via filtering

error of the velocity are obtained that do not directly depend on the viscosity and the pressure. The minimization of the L2(Ω)

Small-scale divergence penalization for incompressible flow problems via time relaxation

L^{2}(\Omega )