Discontinuous G alerkin Methods for Computational Fluid Dynamics

B Cockburn - Encyclopedia of computational mechanics, 2004 - Wiley Online Library
The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …

Analysis of the HDG method for the Stokes–Darcy coupling

GN Gatica, FA Sequeira - Numerical Methods for Partial …, 2017 - Wiley Online Library
In this article, we introduce and analyze a hybridizable discontinuous Galerkin (HDG)
method for numerically solving the coupling of fluid flow with porous media flow. Flows are …

Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows

GN Gatica, FA Sequeira - Journal of Scientific Computing, 2015 - Springer
In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method
for numerically solving a class of nonlinear Stokes models arising in quasi-Newtonian fluids …

Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction

P Castillo, S Gómez - Numerical Algorithms, 2020 - Springer
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space
fractional Klein-Gordon-Schrödinger system with generalized interaction is presented. By …

Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations

P Castillo, S Gómez - Applied Mathematics and Computation, 2020 - Elsevier
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin
(SDG) method and a hybridized discontinuous Galerkin (HDG) version, both applied to a …

Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods

X Zhang, J Liu, J Wen, B Tang, Y He - Numerical Algorithms, 2013 - Springer
In this paper, we consider the local discontinuous Galerkin (LDG) finite element method for
one-dimensional linear time-fractional Tricomi-type equation (TFTTE), which is obtained …

An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D

P Castillo, S Gómez - Applied Mathematics and Computation, 2021 - Elsevier
An efficient computational method to approximate the solution of a general class of
nonlinear reaction-diffusion systems in Cartesian grids is presented. The proposed scheme …

Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations

FA Sequeira, H Guillén-Oviedo - Numerical Algorithms, 2022 - Springer
In the present paper, we describe the computational implementation of some integral terms
that arise from mixed virtual element methods (mixed-VEM) in two-dimensional …

Computational performance of LDG methods applied to time harmonic Maxwell equation in polyhedral domains

A Alvarado, P Castillo - Journal of Scientific Computing, 2016 - Springer
A numerical study of the classical and penalized LDG method applied to vector Helmholtz
equation on three dimensional domains is presented. Using a simple numerical flux based …

An acceleration technique for the Gauss-Seidel method applied to symmetric linear systems

J Cajigas, I Arenas, P Castillo - Revista Integración, temas de …, 2014 - revistas.uis.edu.co
Se propone una técnica de precondicionamiento para mejorar la convergencia del método
Gauss-Seidel aplicado a sistemas lineales simétricos pero preservando simetría. El …