Results 11 to 20 of about 22,455 (230)
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 +3 more
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Residual based a posteriori error estimation for Dirichlet boundary control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method ...
Yücel Hamdullah
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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
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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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An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives [PDF]
Mathematics of Computation, 2020 In this paper, we develop a new discontinuous Galerkin method for solving several types of partial differential equations (PDEs) with high order spatial derivatives.
Q. Tao, Yan Xu, Chi-Wang Shu
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The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems [PDF]
Computers and Mathematics with Applications, 2020 In this paper we analyze the error as well for the semi-discretization as the full discretization of a time-dependent convection-diffusion problem. We use for the discretization in space the local discontinuous Galerkin (LDG) method on a class of layer ...
Yao Cheng, Yanjie Mei, H. Roos
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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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Local Discontinuous Galerkin methods for fractional diffusion equations [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2013 We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic approach fails to deliver optimal order of convergence, we introduce a modified local numerical flux
Deng, Weihua, Hesthaven, Jan S.
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
Computation, 2020 In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva +2 more
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