Results 31 to 40 of about 20,398 (206)

Stable discontinuous Galerkin FEM without penalty parameters [PDF]

, 2015
We propose a modified local discontinuous Galerkin (LDG) method for second--order elliptic problems that does not require extrinsic penalization to ensure stability.
John, Lorenz, Neilan, Michael, Smears, Iain   +2 more
core   +5 more sources

An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

Journal 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

Local discontinuous Galerkin method for phase transition problems [PDF]

, 2015
In this thesis we develop a local discontinuous Galerkin (LDG) finite element method to solve mathematical models for phase transitions in solids and fluids. The first model we study is called a viscosity-capillarity (VC) system associated with phase transitions in elastic bars and Van der Waals fluids.
openaire   +2 more sources

Implementation of LDG method for 3D unstructured meshes

Revista 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, Paul E. Castillo   +1 more
doaj   +1 more source

Time-domain shielding effectiveness analysis based on DGTD method

Zhongguo 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, Xinyi LIU, Huanhuan ZHANG, Weijun WU, Li TAO   +4 more
doaj   +1 more source

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

Iranian 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, Reza Mokhtari, Somayeh Fouladi   +2 more
doaj   +1 more source

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

Journal 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

Efficient time discretization for local discontinuous Galerkin methods

Discrete & Continuous Dynamical Systems - B, 2007
In this paper, we explore three efficient time discretization techniques for the local discontinuous Galerkin (LDG) methods to solve partial differential equations (PDEs) with higher order spatial derivatives. The main difficulty is the stiffness of the LDG spatial discretization operator, which would require a unreasonably small time step for an ...
Yinhua Xia, Yan Xu, Chi-Wang Shu
openaire   +1 more source

A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

East Asian Journal on Applied Mathematics, 2020
Summary: A local discontinuous Galerkin finite element method for a class of timefractional Burgers equations is developed. In order to achieve a high order accuracy, the time-fractional Burgers equation is transformed into a first order system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space.
Yuan, Wenping, Chen, Yanping, Huang, Yunqing   +2 more
openaire   +1 more source

Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods [PDF]

SIAM Journal on Scientific Computing, 2019
An efficient $hp$-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations of elliptic problems, formulated around the idea of separately coarsening the underlying discrete gradient and divergence operators. We show that traditional multigrid coarsening of the primal formulation leads to poor and suboptimal multigrid ...
Fortunato, Daniel, Rycroft, Chris H, Saye, Robert   +2 more
openaire   +5 more sources