Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations Academic Article uri icon


  • AbstractAn invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed. The numerical scheme is explicit in time and the approximation in space is done with continuous finite elements. The method is made invariant domain preserving for the Euler equations using convex limiting and is tested on various benchmarks.

published proceedings

  • Communications on Applied Mathematics and Computation

author list (cited authors)

  • Guermond, J., Popov, B., & Saavedra, L.

complete list of authors

  • Guermond, Jean-Luc||Popov, Bojan||Saavedra, Laura

publication date

  • December 2021