5 citations · 5 across the 2 of their papers we have counts for
3 papers · 1 filter
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl +1
Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence resul…
Structure aware Runge-Kutta time stepping for spacetime tents
Jay Gopalakrishnan, Joachim Schöberl, Christoph Wintersteiger
We introduce a new class of Runge-Kutta type methods suitable for time stepping to propagate hyperbolic solutions within tent-shaped spacetime regions. Unlike standard Runge-Kutta…
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations
Jay Gopalakrishnan, Matthias Hochsteger, Joachim Schöberl +1
We present a new numerical method for solving time dependent Maxwell equations, which is also suitable for general linear hyperbolic equations. It is based on an unstructured parti…