94 citations · 187 across the 13 of their papers we have counts for
14 papers
A superconvergent stencil-adaptive SBP-SAT finite difference scheme
Viktor Linders, Mark Carpenter, Jan Nordström
A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate $\mathcal{O}(Δ…
Provably Stable Flux Reconstruction High-Order Methods on Curvilinear Elements
Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah +2
Provably stable flux reconstruction (FR) schemes are derived for partial differential equations cast in curvilinear coordinates. Specifically, energy stable flux reconstruction (ES…
Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy
Michael Donello, Mark Carpenter, Hessam Babaee
We present a new methodology for computing sensitivities in evolutionary systems using a model-driven low-rank approximation. To this end, we formulate a variational principle that…
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +2
In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconfo…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +4
The entropy conservative, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019), is extended from the compressible…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6
The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…