Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Hajduk, Hennes"'
We show that finite element discretizations of incompressible flow problems can be designed to ensure preservation/dissipation of kinetic energy not only globally but also locally. In the context of equal-order (piecewise-linear) interpolations, we p
Externí odkaz:
http://arxiv.org/abs/2410.06174
Autor:
Hajduk, Hennes, Kuzmin, Dmitri
A well-designed numerical method for the shallow water equations (SWE) should ensure well-balancedness, nonnegativity of water heights, and entropy stability. For a continuous finite element discretization of a nonlinear hyperbolic system without sou
Externí odkaz:
http://arxiv.org/abs/2207.07261
The algebraic flux correction (AFC) schemes presented in this work constrain a standard continuous finite element discretization of a nonlinear hyperbolic problem to satisfy relevant maximum principles and entropy stability conditions. The desired pr
Externí odkaz:
http://arxiv.org/abs/2107.11283
We present stability and error analysis for algebraic flux correction schemes based on monolithic convex limiting. For a continuous finite element discretization of the time-dependent advection equation, we prove global-in-time existence and the wors
Externí odkaz:
http://arxiv.org/abs/2104.05639
Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws
Autor:
Hajduk, Hennes
In this work we present a framework for enforcing discrete maximum principles in discontinuous Galerkin (DG) discretizations. The developed schemes are applicable to scalar conservation laws as well as hyperbolic systems. Our methodology for limiting
Externí odkaz:
http://arxiv.org/abs/2007.01212
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 February 2022 389
Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws
Autor:
Hajduk, Hennes
Publikováno v:
In Computers and Mathematics with Applications 1 April 2021 87:120-138
Autor:
Reuter, Balthasar, Hajduk, Hennes, Rupp, Andreas, Frank, Florian, Aizinger, Vadym, Knabner, Peter
Publikováno v:
In Computers and Mathematics with Applications 1 January 2021 81:3-41
Publikováno v:
In Computers and Fluids 15 June 2020 205
Autor:
Hajduk, Hennes, Kuzmin, Dmitri, Kolev, Tzanio, Tomov, Vladimir, Tomas, Ignacio, Shadid, John N.
Publikováno v:
In Computers and Fluids 30 March 2020 200