22 citations · 38 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines
Mathias Schmidt, Lise Noel, Keenan Doble +2
This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refin…
Interpolation-based immersed finite element and isogeometric analysis
Jennifer E. Fromm, Nils Wunsch, Ru Xiang +4
We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite elemen…
Constructing Nitsche's method for variational problems
Joseph Benzaken, John A. Evans, Rasmus Tamstorf
Nitsche's method is a well-established approach for weak enforcement of boundary conditions for partial differential equations (PDEs). It has many desirable properties, including t…
A note on the conservation properties of the generalized- method
DeAnna S. Gilchrist, John A. Evans
We show that the second-order accurate generalized- method on a uniform temporal mesh may be viewed as an implicit midpoint method on a shifted temporal mesh. With this insight,…
Variational multiscale modeling with discretely divergence-free subscales: Non-divergence-conforming discretizations
Sajje Lee Calfy, John A. Evans, David Kamensky
A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variational multiscale modeling with discretely divergence-free subscales", Computers & Mathematics with Applications, 80 (2…