2 papers
math.NA2024
Preconditioned iterative solvers for constrained high-order implicit shock tracking methods
Jakob Vandergrift, Matthew J. Zahr
High-order implicit shock tracking (fitting) is a class of high-order numerical methods that use numerical optimization to simultaneously compute a high-order approximation to a co…
math.NA2023
An extended discontinuous Galerkin shock tracking method
Jakob Vandergrift, Florian Kummer
In this paper, we introduce a novel high-order shock tracking method and provide a proof of concept. Our method leverages concepts from implicit shock tracking and extended discont…