Results 21 to 30 of about 19,580 (197)

The local discontinuous Galerkin method for contaminant transport [PDF]

Advances in Water Resources, 2000
Abstract We develop a discontinuous finite element method for advection–diffusion equations arising in contaminant transport problems, based on the Local Discontinuous Galerkin (LDG) method of Cockburn B and Shu CW. (The local discontinuous Garlerkin method for time-dependent convection–diffusion systems. SIAM J Numer Anal 1998;35:2440–63).
Vadym Aizinger, Clint Dawson, Bernardo Cockburn, Paul Castillo   +3 more
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Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations [PDF]

Communications in Computational Physics, 2017
AbstractBy combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, variational formulations are established for time-dependent incompressible Navier-Stokes equations in ℝ2. The nonlinear stability is proved for the proposed symmetric variational formulation.
Wang, Shuqin, Deng, Weihua, Yuan, Jinyun, Wu, Yujiang   +3 more
openaire   +2 more sources

A Discretization Approach for the Nonlinear Fractional Logistic Equation

Entropy, 2020
The present study aimed to develop and investigate the local discontinuous Galerkin method for the numerical solution of the fractional logistic differential equation, occurring in many biological and social science phenomena.
Mohammad Izadi, Hari M. Srivastava
doaj   +1 more source

A Local Discontinuous Galerkin Method for KdV Type Equations

SIAM Journal on Numerical Analysis, 2002
In this paper we develop a local discontinuous Galerkin method for solving KdV type equations containing third derivative terms in one and two space dimensions. The method is based on the framework of the discontinuous Galerkin method for conservation laws and the local discontinuous Galerkin method for viscous equations containing second derivatives ...
Yan, Jue, Shu, Chi-Wang
openaire   +3 more sources

ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation

SoftwareX, 2019
A high performance implementation of a discontinuous Galerkin discretization with explicit Runge–Kutta and arbitrary derivative (ADER) time integration schemes is presented to solve the acoustic wave equation.
S. Schoeder, W.A. Wall, M. Kronbichler
doaj   +1 more source

A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

Abstract and Applied Analysis, 2014
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
doaj   +1 more source

Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations [PDF]

, 2007
Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices of Runge-Kutta (RK) methods is made from the point of view of accuracy and ...
Botchev, M.A., Sármány, D., Vegt, J.J.W. van der   +2 more
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A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm

ESAIM: Proceedings and Surveys, 2014
In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm.
Santugini Kévin
doaj   +1 more source

Coupling with the Embedded Boundary Method in a Runge-Kutta Discontinuous-Galerkin Direct Ghost-Fluid Method (RKDG-DGFM) Framework for Fluid-Structure Interaction Simulations of Underwater Explosions

Journal of Marine Science and Engineering, 2021
Solution of near-field underwater explosion (UNDEX) problems frequently require the modeling of two-way coupled fluid-structure interaction (FSI).
Nan Si, Zhaokuan Lu, Alan Brown
doaj   +1 more source

A local discontinuous Galerkin method for the Burgers–Poisson equation [PDF]

Numerische Mathematik, 2014
The authors design, analyze and test a local discontinuous Galerkin method for solving the Burgers-Poisson equation. The proposed numerical method is high order accurate and preserves both momentum and energy invariants. The \(L^2\)-stability of the scheme for general solutions is a consequence of the energy preserving property.
Liu, Hailiang, Ploymaklam, Nattapol
openaire   +2 more sources