2 citations · 6 across the 5 of their papers we have counts for
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Skeleton-stabilized divergence-conforming B-spline discretizations for highly advective incompressible flow problems
Guoxiang Grayson Tong, David Kamensky, John A. Evans
We consider a stabilization method for divergence-conforming B-spline discretizations of the incompressible Navier--Stokes problem wherein jumps in high-order normal derivatives of…
A Divergence-Conforming Hybridized Discontinuous Galerkin Method for the Incompressible Magnetohydrodynamics Equations
Thad A. Gleason, Eric L. Peters, John A. Evans
We introduce a new hybridized discontinuous Galerkin method for the incompressible magnetohydrodynamics equations. If particular velocity, pressure, magnetic field, and magnetic pr…
Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification
Joseph Benzaken, John A. Evans, Stephen McCormick +1
Stable and accurate modeling of thin shells requires proper enforcement of all types of boundary conditions. Unfortunately, for Kirchhoff-Love shells, strong enforcement of Dirichl…
Spectral mesh-free quadrature for planar regions bounded by rational parametric curves
David Gunderman, Kenneth Weiss, John A. Evans
This work presents spectral, mesh-free, Green's theorem-based numerical quadrature schemes for integrating functions over planar regions bounded by rational parametric curves. Our…
Variational multiscale modeling with discretely divergence-free subscales
John A. Evans, David Kamensky, Yuri Bazilevs
We introduce a residual-based stabilized formulation for incompressible Navier-Stokes flow that maintains discrete (and, for divergence-conforming methods, strong) mass conservatio…