90 citations · 205 across the 12 of their papers we have counts for
4 papers · 1 filter
Variational Partitioned Runge-Kutta methods for Lagrangians linear in velocities
Tomasz M. Tyranowski, Mathieu Desbrun
In this paper we construct higher-order variational integrators for a class of degenerate systems described by Lagrangians that are linear in velocities. We analyze the geometry un…
R-adaptive multisymplectic and variational integrators
Tomasz M. Tyranowski, Mathieu Desbrun
Moving mesh methods (also called r-adaptive methods) are space-adaptive strategies used for the numerical simulation of time-dependent partial differential equations. These methods…
Variational Integrators for Maxwell's Equations with Sources
Ari Stern, Yiying Tong, Mathieu Desbrun +1
In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by…
Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
Ari Stern, Yiying Tong, Mathieu Desbrun +1
In this paper, we develop a structure-preserving discretization of the Lagrangian framework for electromagnetism, combining techniques from variational integrators and discrete dif…