Results 31 to 40 of about 22,455 (230)

A direct coupling of local discontinuous Galerkin and boundary element methods [PDF]

open access: yesMathematics of Computation, 2010
The coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission problems, employs a mortar-type auxiliary unknown to deal with the weak continuity of the traces at the interface boundary.
Gabriel N. Gatica   +2 more
openaire   +5 more sources

Stability and convergence of a local discontinuous Galerkin finite element method for the general Lax equation

open access: yesOpen Mathematics, 2018
In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging ...
Wei Leilei, Mu Yundong
doaj   +1 more source

Membrane finite element method for simulating fluid flow in porous medium

open access: yesWater Science and Engineering, 2009
A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering.
Mei-li Zhan   +4 more
doaj   +1 more source

An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

open access: yesJournal of Applied Mathematics, 2014
An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the ...
Qiuliang Wang, Jinru Chen
doaj   +1 more source

Implementation of LDG method for 3D unstructured meshes

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2012
This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed.
Filander A. Sequeira Chavarría   +1 more
doaj   +1 more source

Time-domain shielding effectiveness analysis based on DGTD method

open access: yesZhongguo Jianchuan Yanjiu, 2023
ObjectiveIn order to accurately analyze the time-domain shielding effectiveness (TDSE) of metallic enclosures, a discontinuous Galerkin time domain (DGTD) method based on the local time-stepping (LTS) technique and parallel technique is proposed ...
Zhenglang JIA   +4 more
doaj   +1 more source

Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2017
In this paper, we apply a local discontinuous Galerkin (LDG) method to solve some fractional inverse problems. In fact, we determine a timedependent source term in an inverse problem of the time-fractional diffusion equation.
Somayeh Yeganeh   +2 more
doaj   +1 more source

Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations

open access: yesJournal of Harbin University of Science and Technology, 2021
This paper studies the stability and error estimates of the local discontinuous Galerkin method for fourth-order linear partial differential equations based on upwind-biased fluxes. Consider using the semi-discrete form of numerical format in the spatial
BI Hui, CHEN Sha-sha
doaj   +1 more source

Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

open access: yesMathematical methods in the applied sciences, 2020
In this paper, the Laplace transform combined with the local discontinuous Galerkin method is used for distributed‐order time‐fractional diffusion‐wave equation.
Hadi Mohammadi-Firouzjaei   +2 more
semanticscholar   +1 more source

The local discontinuous Galerkin method for contaminant transport [PDF]

open access: yesAdvances 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   +3 more
openaire   +1 more source

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