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 ...
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

UNIFORMLY STABLE DISCONTINUOUS GALERKIN DISCRETIZATION AND ROBUST ITERATIVE SOLUTION METHODS FOR THE BRINKMAN PROBLEM

SIAM Journal on Numerical Analysis, Vol. 54, No. 5 (2016), pp. 2750-2774 (25 pages) We consider robust iterative methods for discontinuous Galerkin (DG) H(div, Ω)-conforming discretizations of the ...
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 ...