Results 21 to 30 of about 19,690 (191)
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 +3 more
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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
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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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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
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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
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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
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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
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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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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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Steady-State Simulation of Semiconductor Devices Using Discontinuous Galerkin Methods
IEEE Access, 2020 Design of modern nanostructured semiconductor devices often calls for simulation tools capable of modeling arbitrarily-shaped multiscale geometries. In this work, to this end, a discontinuous Galerkin (DG) method-based framework is developed to simulate ...
Liang Chen, Hakan Bagci
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