Showing math.NAShow all
3 papers · 1 filter
math.NA2020
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.…
math.NA2020
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…
math.NA2019
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…