Nature

Discontinuous Galerkin Methods in Computational Fluid Dynamics

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 ...
Nature

Discontinuous Galerkin Methods for Partial Differential Equations

Discontinuous Galerkin (DG) methods represent a versatile and robust class of numerical schemes for approximating solutions to partial differential equations (PDEs). Combining elements of finite ...
JSTOR Daily

A TREFFTZ POLYNOMIAL SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR THE SECOND ORDER WAVE EQUATION

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 ...
JSTOR Daily

Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Abstract We define and analyze hybridizable discontinuous Galerkin methods for the Laplace-Beltrami problem on implicitly defined surfaces. We show that the methods can retain the same convergence and ...
CU Boulder News & Events

Research and Publications: Daniel Appelö

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 ...