83 citations · 115 across the 4 of their papers we have counts for
4 papers
Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws
Dmitri Kuzmin, Manuel Quezada de Luna
This paper addresses the design of linear and nonlinear stabilization procedures for high-order continuous Galerkin (CG) finite element discretizations of scalar conservation laws.…
Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws
Dmitri Kuzmin, Manuel Quezada de Luna
In this work, we modify a continuous Galerkin discretization of a scalar hyperbolic conservation law using new algebraic correction procedures. Discrete entropy conditions are used…
Effective Rankine-Hugoniot conditions for shock waves in periodic media
David I. Ketcheson, Manuel Quezada de Luna
Solutions of first-order nonlinear hyperbolic conservation laws typically develop shocks in finite time even with smooth initial conditions. However, in heterogeneous media with ra…
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws
Dmitri Kuzmin, Manuel Quezada de Luna
This work extends the concepts of algebraic flux correction and convex limiting to continuous high-order Bernstein finite element discretizations of scalar hyperbolic problems. Usi…