22 citations · 38 across the 8 of their papers we have counts for
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math.NA2023★ 1 cited
Stabilized Isogeometric Collocation Methods for Hyperbolic Conservation Laws
Ryan M. Aronson, John A. Evans
We introduce stabilized spline collocation schemes for the numerical solution of nonlinear, hyperbolic conservation laws. A nonlinear, residual-based viscosity stabilization is com…
math.NA2023
Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow
Ryan M. Aronson, Corey Wetterer-Nelson, John A. Evans
In this work we adapt classical residual-based stabilization techniques to the spline collocation setting. Inspired by the Streamline-Upwind-Petrov-Galerkin and Pressure-Stabilizin…
math.NA2023★ 12 cited
Divergence-Conforming Isogeometric Collocation Methods for the Incompressible Navier-Stokes Equations
Ryan M. Aronson, John A. Evans
We develop two isogeometric divergence-conforming collocation schemes for incompressible flow. The first is based on the standard, velocity-pressure formulation of the Navier-Stoke…