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 ...
Discontinuous Galerkin methods represent a powerful and flexible class of finite element techniques that have gained prominence in the simulation of wave propagation phenomena governed by the ...
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 ...
Journal of Computational Mathematics, Vol. 37, No. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...