Discontinuous Galerkin (DG) methods have emerged as a formidable tool in computational fluid dynamics (CFD), offering a flexible and high-order accurate framework for solving complex flow problems. By ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 1 (2017), pp. 63-86 (24 pages) A new space-time discontinuous Galerkin (dG) method utilizing special Trefftz polynomial basis functions is proposed and ...

In this paper we investigate the L∞-stability of fully discrete approximations of abstract linear parabolic partial differential equations (PDEs). The method under consideration is based on an hp-type ...

This research focuses on developing computational tools to model wave propagation in coupled acoustic-viscoelastic-poroviscoelastic media. Numerical simulation of wave problems is computationally ...

M. Motamed and D. Appelö, A multi-order discontinuous Galerkin Monte Carlo method for hyperbolic problems with stochastic parameters. SIAM J. Numerical Analysis (Accepted), 2017. pdf A. Kornelus and D ...