The Suliciu approximate Riemann solver is not invariant domain preserving Academic Article

abstract

• We show that the first-order finite volume technique based on the Suliciu approximate Riemann solver, while being positive, violates the invariant domain properties of the [Formula: see text]-system.

authors

• Popov, Bojan

published proceedings

• JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS

author list (cited authors)

• Guermond, J., Klingenberg, C., Popov, B., & Tomas, I.

citation count

• 1

complete list of authors

• Guermond, Jean-Luc||Klingenberg, Christian||Popov, Bojan||Tomas, Ignacio

publication date

• March 2019

publisher

• World Scientific Publishing  Publisher

published in

• Journal of Hyperbolic Differential Equations  Journal

keywords

• Approximate Riemann Solver
• Conservation Equations
• Invariant Domain
• P-system

Digital Object Identifier (DOI)

• 10.1142/S0219891619500036

start page

• 59

end page

• 72

volume

• 16

issue

• 1

URL

• http://dx.doi.org/10.1142/s0219891619500036