INVARIANT DOMAINS PRESERVING ARBITRARY LAGRANGIAN EULERIAN APPROXIMATION OF HYPERBOLIC SYSTEMS WITH CONTINUOUS FINITE ELEMENTS Academic Article

abstract

• 2017 Societ y for Industrial and Applied Mathematics. A conservative invariant domain preserving arbitrary Lagrangian Eulerian method for solving nonlinear hyperbolic systems is introduced. The method is explicit in time, works with continuous finite elements, and is first-order accurate in space. One original element of the present work is that the artificial viscosity is unambiguously defined irrespective of the mesh geometry/anisotropy and does not depend on any ad hoc parameter. The proposed method is meant to be a stepping stone for the construction of higher-order methods in space by using appropriate limitation techniques.

authors

• Popov, Bojan

published proceedings

• SIAM JOURNAL ON SCIENTIFIC COMPUTING

author list (cited authors)

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

citation count

• 6

complete list of authors

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

publication date

• January 2017

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Scientific Computing  Journal

keywords

• Arbitrary Lagrangian Eulerian
• Conservation Equations
• Finite Element Method
• First-order Method
• Hyperbolic Systems
• Invariant Domain
• Moving Schemes

Digital Object Identifier (DOI)

• 10.1137/16M1063034

start page

• A385

end page

• A414

volume

• 39

issue

• 2