Results 1 to 10 of about 479 (149)
Local Discontinuous Galerkin Methods for the Stokes System [PDF]
SIAM Journal on Numerical Analysis, 2002 A discontinuous Galerkin method for the Stokes problem is introduced and analysed. A priori error estimates for velocity and pressure are derived, which are shown to be optimal, if proper polynomial approximations and stabilization parameters are used.
Bernardo Cockburn +2 more
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An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems [PDF]
SIAM Journal on Numerical Analysis, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernardo Cockburn +2 more
exaly +2 more sources
Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System [PDF]
Communications on Applied Mathematics and Computation, 2021 Boussinesq type equations have been widely studied to model the surface water wave. In this paper, we consider the abcd Boussinesq system which is a family of Boussinesq type equations including many well-known models such as the classical Boussinesq system, BBM-BBM system, Bona-Smith system etc.
Jiawei Sun, Shusen Xie, Yulong Xing
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Journal of Harbin University of Science and Technology, 2022 The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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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
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The local discontinuous Galerkin method for the Oseen equations [PDF]
Mathematics of Computation, 2003 We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in
Bernardo Cockburn +2 more
openaire +1 more source
On the Local Discontinuous Galerkin Method for Linear Elasticity [PDF]
Mathematical Problems in Engineering, 2010 Following Castillo et al. (2000) and Cockburn (2003), a general framework of constructing discontinuous Galerkin (DG) methods is developed for solving the linear elasticity problem. The numerical traces are determined in view of a discrete stability identity, leading to a class of stable DG methods. A particular method, called the LDG method for linear
Chen, Yuncheng +3 more
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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.
Hailiang Liu, Nattapol Ploymaklam
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Numerical approximation of time-fractional Burgers-type equation
Advances in Difference Equations, 2020 In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
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Advances in Aerodynamics, 2022 In this paper, we present a mesh adaptation algorithm for the unsteady compressible Navier-Stokes equations under the framework of local discontinuous Galerkin methods coupled with implicit-explicit Runge-Kutta or spectral deferred correction time ...
Xiangyi Meng, Yan Xu
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