Results 21 to 30 of about 523 (187)
Fractal and Fractional, 2022 In this paper, efficient methods seeking the numerical solution of a time-fractional fourth-order differential equation with Caputo’s derivative are derived. The solution of such a problem has a weak singularity near the initial time t=0. The Caputo time-
Zhen Wang
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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
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Stability Analysis of the Explicit Ｒunge-Kutta Local Discontinuous Galerkin Method
Journal of Harbin University of Science and Technology, 2017 To analyze the stability of the local discontinuous Garlerkin method for heat equation，where the time discretization is the explicit TVD Ｒunge-Kutta method.
BI Hui, QIAN Chen-geng
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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
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Open 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
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Membrane finite element method for simulating fluid flow in porous medium
Water 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
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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 +4 more
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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
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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.
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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 +1 more
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